Unlikely Pairs

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An electron interferometer: Pairing of electrons takes place in the path denoted by the broken red line

 

 

 

 

 

 

 

 

 

 

“Can two walk together, except they be agreed?” (Amos 3:3)

 

The prophet Amos believed in a rational, ordered world, in which everything can be explained by cause and effect. That ideal fits the world of science – once in a while. Sometimes when the cause is known, the ensuing effects can be predicted. But more often scientists try to measure something that “should be there,” or else they discover new phenomena that have no apparent reason or cause. Indeed, most scientific research arises from these two starting points, working from opposite directions to connect cause with effect.

 
Prof. Moty Heiblum
 
Prof. Moty Heiblum of the Condensed Matter Physics Department and his research group recently conducted an experiment looking for an effect that “should be there” and ended up with an unexplained phenomenon. Working in the Braun Center for Submicron Research, the group was experimenting with a phenomenon known as the quantum Hall effect. In this system, electrons flow in a two-dimensional plane and are exposed to a strong magnetic field perpendicular to the plane. The electrons, which “prefer” to run in straight lines, get pulled from their original paths by the magnetic field and end up traveling around the edges of the plane.

But what Heiblum and his group observed in the electron flow seemed to belong to a different type of system: superconductivity. Electrons, which all carry negative charges, normally repel one another. However, under very special conditions, in some materials and at extremely low temperatures, electrons can actually “hook up” to form pairs called Cooper pairs. Cooper pairs can move through a material with no resistance whatsoever, and this state is thus known as superconductivity.

So it came as a great surprise to discover electrons pairing up under certain conditions in their quantum Hall system – forming pairs that were remarkably similar to Cooper pairs. This is, indeed, the first time that this phenomenon has been observed outside of superconductivity, and the scientists are still not quite sure what to make of it.

Once the electrons are pulled from their path by the magnetic field and forced to flow near the edges of the quantum Hall system, they travel in “parallel lanes” at varying distances from the edge. The scientists are now wondering if the close proximity of electrons moving in those parallel lanes could somehow cause electrons to “feel” one another more strongly and, consequently, interact in a different manner than the ubiquitous repulsion.

The phenomenon was observed at the exit to the system. Electrons leaving the outer lane were measured; the surprise came when the exiting charges were found to be twice that of a normal, single electron. In other words, the current was carried by paired electrons, similar to that of Cooper pairs that flow so freely in the superconducting state.

Although this phenomenon was completely unexpected and is still not understood, the question asked by the prophet Amos, with his insistence on rational cause and effect, resonates with the scientists: Why do these pairs of electrons “walk together,” apparently in total “agreement”? What causes the electrons in this system to form pairs? Or conversely, what is the effect of electron pairing on the functioning of the system? The Weizmann Institute scientists are already conducting new experiments to help sort out the riddle of the quantum Hall electron pairs.  
 
Prof. Moty Heiblum’s research is supported by the Joseph H. and Belle R. Braun Center for Submicron Research, which he heads; the Gruber Center for Quantum Electronics, which he heads; the Willner Family Leadership Institute for the Weizmann Institute of Science; the Dan and Herman Mayer fund for Submicron Research; the Wolfson Family Charitable Trust; the European Research Council; and the estate of Olga Klein Astrachan. Prof. Heiblum is the incumbent of the Alex and Ida Sussman Professorial Chair of Submicron Electronics.
 
 
An electron interferometer: Pairing of electrons takes place in the path denoted by the broken red line
Space & Physics
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Waves of the Future

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In nature, waves such as those in the ocean begin as local oscillations in the water that spread out, ripple fashion, from their point of origin. But fans of the television series Star Trek will recall a different sort of wave pattern: the tractor beam. Tractor beam technology, if it were to exist, would be based on waves that go in the opposite direction, converging from out in space onto the point of origin. In the show, the Starship Enterprise would send out a tractor beam, like a cowboy’s lasso, to latch onto an object floating in space and pull it back toward the ship.  


Prof. Gregory Falkovich of the Physics of Complex Systems Department, working together with the research group of Prof. Michael Shats of the Australian National University, Canberra, recently showed that the idea may not be all science fiction.

In fact, the basic concept is rooted in the research of a 19th century English physicist and mathematician, George Stokes, who examined the physics of waves in great detail. To do so, he placed small spheres in liquid and observed their movement in the fluid ripples. At the time, the prevailing theory held that if a wave was very small, a tiny sphere riding it would move within a closed circle. Stokes discovered that the sphere’s path would not be quite a closed circle. Instead, it would trace an inward-flowing spiral. This idea, which became known as “Stokes drift,” was assumed to be mostly theoretical. One might be able to create the conditions in a lab, but it would be hard, in nature, to find waves small enough to exhibit Stokes drift.

Falkovich’s collaborators, aided by observation technologies of the 21st century, returned to Stokes’ experiments to observe the particles that move in very small waves of light. They discovered, to their surprise, that a three-dimensional representation of the particles’ path is something like that of a drunken man making his way home. But, in their collaborative work, the researchers showed that not only is this movement not random, it is predictable and can even be planned out ahead of time.

Using this insight, the scientists demonstrated the principle using two controlled fluid vortices. Between them a wave flowed “backward” to the point at which the oscillations that created it originated. Some of the scientists in the group are already envisioning the creation of “tractor beams” in water that could, for example, latch onto pirate ships in the Indian Ocean and pull them in. More modest ideas (though still in the future) include using these waves to clean up pollution in the ocean.   
 

 

Space & Physics
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Beneath the Surface

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Electron movement in the interface
 
When two unique insulating materials are layered one on top of the other in a “sandwich,” something truly unexpected can occur: A very thin “filling” may appear at the interface between them that is able to conduct electricity. That conducting interface makes this sandwich, known by the combined abbreviations of its two layers – LAO/STO – the focus of a great deal of research. Among other things, this interface has unusual properties that hint at possible uses in new types of electronics. But because the conducting electrons are buried beneath the surface, tightly confined within the sandwich, it has been difficult to understand how the electronic phenomenon takes place, especially on the microscopic level.
 
Now, researchers in the Weizmann Institute’s Condensed Matter Physics Department have created a sensor that can see through the top layer of an insulating material to reveal how the electrons behave deep inside. Their findings, which recently appeared in Nature Materials, reveal that the physics of the LAO/STO interface is much richer in its microscopic structures than scientists had previously thought.
 
The sensor was created by Dr. Shahal Ilani and his team using a nanoassembly technique they had previously developed for making new types of electronic devices based on single carbon nanotubes. The team first employed their pristine nanotubes in complex electronic devices to study the physics of electrons and phonons on the nanoscale. The exceptional behavior of these devices led them to realize, however, that they could also be used as ultrasensitive, nanometer resolution detectors for electric fields.
Dr. Shahal Ilani
 
Ilani, research student Maayan Honig and postdoctoral fellow Dr. Joseph Sulpizio, in collaboration with Prof. Eli Zeldov's group of the same department, used this novel sensor to investigate the electric fields in LAO/STO that had been cooled down to very low temperatures – in the range in which many exciting physical phenomena appear. The sensor – a pristine nanotube with an electrical current flowing through it that is extremely sensitive to nearby electric fields – was positioned to hover directly above the LAO/STO sandwich.
 
Unlike other nanoscale probes, their sensor did not actually touch the surface or transfer current to the material under investigation, ensuring that the technique would not interfere with any process occurring in the LAO/STO. Using the sensor to scan across the surface as they applied different electrical perturbations to the sandwich, they were able to image the physics of the buried conducting layer.

The team was excited to find that their setup did indeed grant them a clear, “x-ray-like” view beneath the surface of the material. But bigger surprises were in store. For one thing, they found that the upper surface of the material moved up and down to an extraordinary extent in response to the applied voltage. This so-called piezo response was known from other materials but was not expected to be significant in LAO/STO. Even more surprising was the discovery of a clear pattern of stripes bearing a strong electrical fingerprint distributed throughout the interface.
 
According to the researchers, the explanations for both the stripes and the movement lie in the crystal structure of the STO, the bottom half of the sandwich. At low temperatures, the STO crystal breaks its rotational symmetry: Instead of the perfect cubic form it has at higher temperatures, it takes on elongated, rectangular shapes that can lie either parallel to the surface or perpendicular to it. These two orientations form microscopic domains that are ordered in a “comb” of alternating stripes. An applied voltage flips vertically oriented domains to lie horizontally, changing the landscape of the striped domains. This microscopic rearrangement inside the STO is responsible for the anomalously large piezoresponse they observed.
 
LAO_STO infographic
 
 
Those striped domains dramatically affect the way electrons flow through the interface, squeezing them into narrow channels. This finding was supported by recent independent experiments at Stanford University which showed that the electrical current indeed travels along narrow paths rather than flowing uniformly throughout the entire interface. These findings are extremely important for understanding the physics of these curious interfaces.

The stripes may have special relevance for the future of nanotechnology. On the one hand, those who want to develop LAO/STO-based electronics will need to find ways to control these stripes. On the other hand, the narrow stripes could give rise to new types of electronics not yet imagined. Sulpizio: “The current in the two-dimensional interface may be compressed into one-dimensional ‘wires’ at the boundaries between stripes.  Any time you change dimensions, you are likely to see new physics emerging.”  

In the meantime, Ilani and his group are continuing to refine their nanotube sensor, aiming to exploit it as a powerful, nanoscale imaging tool for a growing class of useful quantum materials. Such materials will be central to future technological breakthroughs, as well as offering a gateway to the discovery of new phenomena in fundamental physics.  


Dr. Shahal Ilani's research is supported by the European Research Council. Dr. Ilani is the incumbent of the William Z. and Eda Bess Novick Career Development Chair.
 
Prof. Eli Zeldov's research is supported by the Carolito Stiftung; and the European Research Council. Prof. Zeldov is the incumbent of the David and Inez Myers Professorial Chair.
 
 


 

 
Space & Physics
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Super SQUID

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Weizmann Institute scientists have taken a quantum leap toward understanding the exciting phenomenon of superconductivity: They have created the world’s smallest SQUID – a device used to measure magnetic fields – which has broken the world record of sensitivity and resolution of such devices.


Superconductivity is a quantum phenomenon, which is ultra-cool – literally. It is only when certain materials are cooled to extremely low temperatures that the “magic” starts to happen: they lose all resistance to the flow of electricity and expel the magnetic fields within them. These bizarre properties have enabled trains to “float” in air, particles to be steered at nearly the speed of light inside particle accelerators, as well as their use in MRI scanners for diagnostic imaging of the human body, to name a few. And, as it happens, superconducting materials are also used in the fabrication of the very SQUIDs used to measure superconducting properties – as evidenced by their name: Superconducting QUantum Interference Device. Although discovered over 100 years ago, scientists still do not fully understand the physics that underlies the behavior of superconductors.

As opposed to traditional optical microscopy that uses light and lenses to magnify images of small samples, scanning probe microscopy is a technique that uses a probe – in this case, a nano-SQUID – to scan and measure some property (e.g., magnetic field) at different points of a sample, forming an image of the entire surface – a bit like creating a heat map of a hand by taking a thermometer and measuring the temperature at individual points on the hand.

Apart from having very sensitive SQUIDs, there are also geometrical challenges when it comes to using them as scanning probes: They need to be as small as possible to attain the highest image resolution, and they need to get as close as possible to the sample to enable the imaging of ever smaller magnetic features. Postdoctoral fellows Yonathan Anahory and Denis Vasyukov, and Ph.D. student Lior Embon, along with other colleagues in the lab of Prof. Eli Zeldov of the Condensed Matter Physics Department, have risen to the challenge – as reported in Nature Nanotechnology – thanks to a unique setup: They took a hollow quartz tube and pulled it into a very sharp point – the ideal geometry for a scanning probe microscope. They then succeeded in fabricating a SQUID encircling the ring of the tip, which measures a mere 46 nm in diameter, making it the smallest SQUID to date. They proceeded in gluing the tube to a quartz tuning fork and constructing a scanning microscope, which has enabled them to achieve magnetic imaging at distances as small as a few nanometers from the sample. In contrast, current SQUIDs are usually made using lithography on flat silicon chips, limiting their size and their ability to get very close to the surface. “In fact, we have the opposite problem of having to prevent the probe from ‘crashing’ into the sample,” says Embon. “While there exist SQUIDs with higher sensitivities to uniform magnetic fields, it is the combination of high sensitivity, proximity of the probe to the sample and its minute dimension that makes the overall resolution, accuracy and sensitivity of the device record-breaking.” So much so that if the right conditions can be achieved, this so-called nano-SQUID-on-tip is heralded to hold the potential to measure the magnetic field due to the spin of a single electron – the Holy Grail of magnetic imaging.

This novel instrument is already proving a powerful tool: Zeldov's lab is currently using the device to investigate vortex dynamics and quantum magnetism on the nanoscale. This will hopefully not only lead to a better understanding of superconductivity and of vortex flow that is required for the effective application of superconductor technology, but it will aid in gaining insights into novel physics phenomena. As a surprising, added bonus, the new SQUID has turned out to be so versatile, it is able to measure many materials other than superconductors. Embon: “Queues are already being formed by scientists from both Weizmann and abroad in order to study the nanoscale magnetic properties of their samples.”
 

Prof. Eli Zeldov is the incumbent of the David and Inez Myers Professorial Chair.
 
Space & Physics
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The Smallest Crystal

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Clockwise from upper right: Sharon Pecker, Dr.Shahal Ilani, Maayan Honig, Assaf Hamo, Jonah Waissman and Avishai Benyamini

 
 

In 1934, the physicist Eugene Wigner made a somewhat surprising prediction: Electrons should, in certain circumstances, form a crystal. Everyday crystal structures are based on atoms that line up in a lattice arrangement through a sort of mutual "convenience."  Electrons, by contrast, are hard to pin down. These lightweight subatomic particles are generally in constant motion, and their negative electric charges mostly cause them to avoid their fellow electrons as much as possible while they zip around. Yet it was this very trait – repulsion – that Wigner surmised would drive the electrons into a crystal formation. If electrons experience strong mutual interactions, the repulsion could induce them to array themselves in a lattice. One can visualize this, in its simplest, one-dimensional form, as electrons sitting like beads on an imaginary string: Their natural instinct for avoidance would overcome their tendency to move, forcing them to occupy fixed positions along the string.

 
 
 
The trick to creating a so-called Wigner crystal is to find a system in which the electrons strongly interact with one another but, at the same time, interactions with other components of the system do not interfere with the formation of the crystal. Systems based on metal are out, for example, because the electrons in the metal's structure move around relatively freely and there are far too many of them to fit the conditions needed to produce a Wigner crystal. Even if one introduced a small number of electrons into an inert material, the tiniest defect could cause electrons to react with it rather than with one another. 
Prof. Eugene Wigner Image: Nobel Prize/Wikimedia Commons
 
Thus producing a Wigner crystal is a difficult proposition; until now, scientists in search of such an arrangement had seen only hints and clues of its existence, but no one had managed to produce direct evidence of an electron crystal. Now, nearly 80 years after Wigner’s prediction, Dr. Shahal Ilani of the Weizmann Institute’s Condensed Matter Physics Department, together with his research student Sharon Pecker, and in collaboration with colleagues in the US, Italy and Denmark, has succeeded in creating a Wigner crystal made up of just two electrons – a "Wigner molecule."

 

For their study, which appeared in Nature Physics, the team chose a tiny, ultrapure carbon nanotube to host the two electrons. Because the electrons in the carbon atoms are tightly bound within the nanotube structure, the added electrons interact only with each other. Measuring the energy of the system showed the researchers that it was behaving just as a Wigner crystal should – each electron sitting at one end of the tube. The researchers then deliberately squeezed the two electrons to one edge of the nanotube and found that even when pushed together, the electrons still keep a certain distance. "The electrons' behavior when pushed is evidence that the formation of the molecule is a result of an intrinsic electron interaction and not merely an effect of the surrounding environment," says Pecker.
Setup for producing an ultrapure nanotube
 
Besides proving Wigner’s long-standing theoretical prediction, says Ilani, the work is an important demonstration of an extremely clean, nanotube-based system enabling the controlled manipulation of delicate electronic states. "If we can manage to extend the control over two electrons to independent control over many electrons," says Ilani, "this could unleash a new wave of precision experiments in nanotubes, using them as the pristine condensed-matter laboratory for studying fundamental quantum mechanical phenomena on the nanoscale." This idea motivated Ilani's group to come up with a new way of fabricating carbon nanotubes. Their invention, recently described in Nature Nanotechnology, generates complex, ultraclean devices in which many electrons can be controlled individually.
3-D rendering of real measured data of conductance through novel nanotube electronic devices
 
Until now, methods for producing nanotube-based devices have involved creating the two components of a device – nanotubes and an electronic circuit – together. Such devices are limited: Since each of these tasks, alone, is difficult, combining them makes the production of complex devices impossible. "Our new technique solves this fundamental problem by separating the fabrication of devices into its two independent parts," says research student Jonah Waissman. "On one chip we grow nanotubes and on another we fabricate an electrical circuit, enabling us to make each of them as flawless as possible. Then we use a specially-designed scanning microscope to combine the two parts to form a fully-functional, complex device." Among other things, a single circuit may now incorporate several nanotubes. "Our new fabrication technique leaves very little to chance," says Ilani, "since we ensure that both the nanotube and the circuit are perfect well before the experiment starts."

With their new devices, Ilani and his group plan to reveal fascinating new aspects of Wigner molecules comprised of ever more electrons – hopefully approaching the full-fledged quantum crystal. But the new technique opens up a much wider array of experimental possibilities: Carbon nanotubes have many unique properties, electronic as well as mechanical, so the new system presents a unique laboratory for exploring quantum mechanics. "Having control over so many degrees of freedom," says Ilani, "we can now devise experiments on the nanoscale that were unimaginable before."

 

Dr. Shahal Ilani is the incumbent of the William Z. and Eda Bess Novick Career Development Chair.


 
 
3-D rendering of real measured data of conductance through novel nanotube electronic devices
Space & Physics
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The Odd Couple

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 from the Neil Simon movie "The Odd Couple"
 
In the classic Neil Simon movie The Odd Couple, two unlikely roommates – a slob and a neat-freak – get into comic situations. But Felix and Oscar had nothing on a couple of odd physical states of material that can exist quite close to one another – even, under special conditions, in the same material at the same time.  Weizmann Institute scientists discovered that character traits that would seem to be polar opposites – superconductivity and superinsulation – are, in fact, separated by a very thin line.

Superconductivity was discovered over 100 years ago by Heike Kamerlingh Onnes in Leiden, the Netherlands; he received a Nobel Prize in Physics in 1913. Yet superconductivity, which is defined as the complete disappearance of electrical resistance in a substance, has mostly remained in the realm of science fiction. That is because materials that become superconductors mostly do so at extremely low temperatures – close to absolute zero (-273°C). So, for instance, Larry Niven, in his Ringworld novels, imagined people with the technological prowess to create room-temperature superconductors using them to power an artificial planet encircling their sun. Here on Earth, engineers dream of superconductor wires that could transmit electricity over long distances with no losses, or high-speed trains that hurtle, nearly frictionless, over magnetic tracks – an idea based on the fact that superconductors repel magnetic fields.
 
 
In reality, some 30 years ago the temperature bar on superconductivity was raised to around the “high,” but still quite frigid, temperature of -137°C and, despite numerous attempts, it has remained there ever since. It is not clear whether the ultimate goal of room temperature superconductivity is even possible. To understand if it can be achieved in the future, scientists need a better grasp of the phenomenon as it exists, today.
(l-r) Maoz Ovadia and Prof. Dan Shahar
 
Superinsulation was discovered just a few years ago in the lab of Prof. Dan Shahar of the Condensed Matter Physics Department. He and his research student Maoz Ovadia were investigating what happens at the exact point at which superconductivity disappears. Why does warming the material to just over -137°C destroy its superconductor properties? If, they thought, they could pinpoint the exact processes and mechanisms that take place at the transition, they might possibly gain useful insights that could, in the future, lead to new developments in the creation of higher-temperature superconductors.

There are a number of ways to make superconductivity disappear. For example, one can separate the “Cooper pairs.” These are pairs of electrons that, at very low temperatures, overcome their natural repulsion to team up. It is this pairing that enables them to flow, unimpeded, through the material. If the Cooper pairs are undone, the superconductor turns into an ordinary material. One can also ruin a superconductor by inserting impurities into the material, or simply by warming it. Shahar and Ovadia chose yet another way to eliminate superconductivity: They exposed the material to a strong magnetic field.

Gradually adjusting the intensity of the magnetic field, along with the temperature, enabled the researchers to minutely observe what happens at each stage. And that is when they discovered that, at a certain point, the material completely loses its capacity to conduct electricity. In other words, the superconductor became its opposite: a superinsulator. The superinsulation they observed takes place only at temperatures near absolute zero, but the scientists have hopes that, along with room-temperature superconductors, a way may be found in the future to produce this total insulation at high temperatures. Possible applications could include transistors that don’t leak energy and ultra-long-life batteries.

In their most recent findings, which were reported in Nature Physics, the scientists found that superconductivity and superinsulation really are something like an old-time sitcom pair on set: The instant one exits, the other appears onstage. The difference between the two states is actually quite small, and the transition from one to the other is quite rapid.

To understand why the two are so close, Shahar and Ovadia went back to experimenting with the magnetic field, applying it very gradually to superconductors and superinsulators. They found they could bring their materials to a state in which there was a perfect balance between electrical conductivity and insulation.

In part, their observation was tied to the method they had chosen for their investigations: Superconductors repel magnetic fields up to a certain point, after which the magnetic field begins to penetrate the material. It does this in the form of tiny magnetic “eddies” – vortices – which can act as impediments to the flowing Cooper pairs. When the material was in a superconductive state, these vortices were “locked” in place, thus allowing the Cooper pairs to move freely. As soon as the material became a superinsulator, however, the magnetic vortices flowed and the Cooper pairs were locked in place. But just at the balance point, the researchers found that Cooper pairs and magnetic vortices can exist as a truly odd couple, inhabiting the same material at the same time. The scientists are continuing to investigate this unusual symmetry and interdependence in hopes of revealing, in the future, some deeper insights into the properties of both superconductors and superinsulators.
 
Prof. Dan Shahar's research is supported by the Yeda-Sela Center for Basic Research. Prof. Shahar is the incumbent of the Max and Anne Tanenbaum Professorial Chair of Nuclear Physics.




 
 
 from the Neil Simon movie "The Odd Couple"
Space & Physics
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Causing Collapse

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One of the most basic laws of quantum mechanics is that a system can be in more than one state – it can exist in multiple realities – at once. This phenomenon, known as the superposition principle, exists only so long as the system is not observed or measured in any way. As soon as such a system is measured, its superposition collapses into a single state. Thus, we, who are constantly observing and measuring, experience the world around us as existing in a single reality.  

The principle of superposition was first demonstrated in 1922 by Otto Stern and Walther Gerlach, who observed the phenomenon in the spin of silver atoms. Spin is the intrinsic magnet in quantum particles, and when a particle’s spin is in superposition, it points in more than one direction at the same time. (Instead of the north and south of magnets, these are referred to as up and down.) Dr. Roee Ozeri and research students Yinnon Glickman, Shlomi Kotler and Nitzan Akerman, of the Physics of Complex Systems Department studied how the spin of a single atom collapsed from superposition to one state when it was observed with light. They “measured” the atom by shining laser light on it. Just as our eyes observe the world by absorbing the photons – light particles – scattered in our direction by objects, the researchers observed the process of spin collapse in the atoms by measuring the scattered photons. In results that appeared recently in Science, they showed that the direction that a photon takes as it leaves the atom is the direction that the spin adopts when superposition collapses.

Next, the team measured the polarization of the emitted photon and found that the observed polarization determines the effect of measurement on the spin. This suggests that an observer can influence the collapse of superposition just by adjusting the orientation of his photon-polarization measurement apparatus.

The reason for this “action-at-a-distance” is that the spins of the measured atoms and the emitted photons were entangled. That is, even after they were separated, a measurement of one of them instantaneously affected the other.

The experiment is an important step in understanding the measurement process in quantum systems.
 
All spin directions (represented by the spheres) collapse on one or the opposite direction depending on the measured photon polarization
 
 
 
 
Dr. Roee Ozeri’s research is supported by the Crown Photonics Center; David Dickstein, France; Martin Kushner Schnur, Mexico; the Wolfson Family Charitable Trust; and the Yeda-Sela Center for Basic Research.

 
All spin directions (represented by the spheres) collapse on one or the opposite direction depending on the measured photon polarization
Space & Physics
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Touching Something No One Found

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Making the video: (l-r) Johnny Goldstein and Ivri Lider at the top of the Institute's Koffler Accelerator

 

 
An unusual video clip was produced for a recent reunion of Weizmann Institute physics alumni.
 
The event organizers had turned to faculty alumnus Khen Shalem, who had changed fields to become a director of documentary films (his award-winning documentaries include On the Road to Tel Aviv and, more recently, The Other Side). Shalem conducted hours of interviews with the Institute physicists, which ultimately were condensed to 10 minutes. The physicists spoke about their research, as well as their motivation and the meaning of science in their lives.

Next, musicians Ivri Lider and Johnny Goldstein of The Young Professionals, who had been asked to enter the picture, composed music to accompany what the scientists had to say. The result was a song, Touching Something No One Found, featuring the scientists, with a refrain sung by Ivri Lider.

The making of the clip had given rise to a fascinating collaboration between people working in different fields but similarly driven by inquiry and curiosity. The idea had come from a clip on YouTube, in which someone had added music to the sayings of famous scientists interviewed on TV.

Starring in the clip, which premiered at the reunion of Weizmann’s Physics Faculty, were: Prof. Israel Bar-Joseph, Dr. Nirit Dudovich, Prof. Avishay Gal-Yam, Prof. Eilam Gross, Prof. Moti Heiblum, Prof. Yosef Nir, Prof. Yuval Oreg, Dr. Roee Ozeri, Dr. Shmuel Rubinstein, Prof. Igal Talmi and Prof. Daniel Zajfman.
 
 

At the reunion, Dean Prof. Yosef Nir reviewed the history of the Physics Faculty; Dr. Hagar Landsman of the Particle Physics and Astrophysics Department spoke about her trip to the South Pole, where she participates in the IceCube experiment; and Prof. Avishay Gal-Yam, also of the Particle Physics and Astrophysics Department, addressed the question: Are we alone in the universe? Between the lectures, the alumni and their families listened to a performance by singer Daniela Spector.
 
Making the video: (l-r) Johnny Goldstein and Ivri Lider at the top of the Institute's Koffler Accelerator
Space & Physics
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Circular Reasoning

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Polonius: What do you read, my lord?
Hamlet: Words, words, words.
Polonius: What is the matter, my lord?
Hamlet: Between who?
Polonius: I mean, the matter that you read, my lord.
~ Hamlet, act II, scene 2
 
(l-r) Prof. Elisha Moses and Dr. Tsvi Tlusty
 
 
Humans, according to the language theoretician Noam Chomsky, are born with a universal, “internal grammar,” which enables verbal communication. Although this idea is still controversial, it has received some support from genetic research: Certain mutations in a gene called FOXP2 significantly impair the ability to form sentences. If language is indeed a natural phenomenon stemming from the genes and the structure of the brain, then the tools of the natural sciences might be applied to discover where the roots of language lie.

The dictionary, as a particular example, is a collection of words defined by other words, and it can be probed methodically to reveal universal laws governing human language. Prof. Elisha Moses and Dr. Tsvi Tlusty of the Institute’s Physics of Complex Systems Department undertook this challenge. Together with Jean-Pierre Eckmann of the University of Geneva and summer student David Levary from Harvard University, they looked at the connections between the words – the network of relationships that arises when the words used in a definition are linked to the defined word. So for each word in their study, they drew lines connecting it to the words used to define it, as well as to those in the quotations demonstrating usage. This creates a complex graph with as many nodes as there are words in the dictionary, and if a word has multiple meanings then each one of them gets a node of its own.
 
For example, the Even-Shushan Hebrew dictionary defines the word love (ahava) thus: "strong affection, feeling of great or desirous attraction for someone or something.” To begin mapping a network with “love” at its center, one would draw a straight line from the word “love” to the words “strong,” “affection,” “feeling,” “desire,” “attraction,” and so on. Then, new sets of lines are drawn from the connected words to all the words in their definitions. Soon, a dense network of connections is generated between the words in the dictionary, with related words more likely to be found in proximity to each other.

Because even a large dictionary is not infinitely large, a full network of all the words contained within it is theoretically possible. This large network will typically resolve into smaller, partial networks, composed of words that tie in to a specific subject of the same area of content.
 
ouroboros love
 

Closing a loop


Following the interconnecting lines of the dictionary network will often bring one back to one’s starting point. In other words (no pun intended), the network closes in on itself, and a word, by extent, becomes a part of its own definition. Though it appears to be a tautology, such cyclical connections may be deeply rooted in the fundamentals of language. The researchers found that in a dictionary containing around 100,000 words, some 6,000 of them will circle, through the network, back on themselves. Moses and Tlusty investigated further, discovering that many of the words that close in on themselves belong to the relatively small subset of the dictionary that is considered “basic vocabulary.” (Basic vocabulary size varies with the definition: Ogden chose 850 for his Basic English, Jōyō Kanji in Japanese covered 2,136 symbols.)

Kurt Gödel famously dealt with the paradox of circular logic in his incompleteness theorem, which states that in a closed number system, there will always be true statements that cannot be proved within the system. A dictionary is also a sort of closed system, and upon consideration one realizes that it is impossible to create a set of definitions that never repeats back on itself. Circularity appeared historically with the Ouroboros - the image of a serpent biting on its own tail, which probably showed up first in Egypt and has played a role ever since in philosophy, religion, alchemy and psychology.
 
 
Nature has no problem with circularity: DNA, for instance, encodes the information needed to make proteins, but those very proteins activate DNA and regulate its activities. So if language is a natural phenomenon, arising from the basic patterns of living structures, it might not be so surprising to discover closed cycles that loop back on themselves, concepts that are explained by referring back to the concept itself.

The scientists say that this basic structure is so fundamental to the dictionary network that every time a new concept is added a loop will form to bring its definition back around. They found that when words are connected to one another on the same loop, these were significantly more likely to either be coined or their meaning updated in the same era. So the dictionary network turns out to reveal “peer relationships” among words.
 
dictionary
 

The dictionary


In June, 1857, three gentlemen named Richard Trench, Herbert Coleridge and Frederick Furnivall met in London to establish the Unregistered Words Committee. The idea was to produce a comprehensive English dictionary, a project they estimated would take around 10 years. It would eventually take 72 years to compile the first edition of the Oxford English Dictionary, which encompassed 10 volumes and included some 400,000 words and phrases, and 1,800,000 quotations. Hundreds of volunteers would participate in the project by sending quotations to demonstrate usage.

One of the best-known contributors was William Minor, who was later discovered to be a murderer. Minor was an army doctor who had suffered shellshock in the American Civil War. He later moved to England, where one night he killed a man in a manic fit and was confined to the Broadmoor Asylum. He spent the latter part of his life there, during which he started sending quotations to OED’s editor, Sir James Murray, who even visited Minor at Broadmoor. The unusual relationship between the editor and his prolific contributor has been described by Simon Winchester in his book The Professor and the Madman.

 
Prof. Elisha Moses's research is supported by the Murray H. & Meyer Grodetsky Center for Research of Higher Brain Functions; and the J & R Center for Scientific Research.


 
 
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Space & Physics
English

Dr. Zohar Komargodski of the Weizmann Institute Awarded a New Horizons in Physics Prize

English
 
The New Horizons in Physics Prize, awarded by the Fundamental Physics Prize Foundation, is given to three promising young researchers. Each of the laureates will receive $100,000. The Foundation also announced that leaders of the ATLAS experiment, one of the two experimental groups at the Large Hadron Collider (LHC) at CERN to have discovered a particle that appears to be the Higgs boson, will split a Special Fundamental Physics Prize (which totals $3,000,000) with those of the second experimental group, CMS, together with the head of the LHC accelerator project. Several Weizmann Institute researchers have played prominent roles in the ATLAS experiment, along with physicists from the Technion and Tel Aviv University. Last year, one of the inaugural Fundamental Physics Prizes went to Prof. Nathan (Nati) Seiberg, a Weizmann alumnus who is at the Institute for Advanced Studies, Princeton.
 
Komargodski completed his doctoral studies in physics at the Weizmann Institute of Science four years ago. Following a postdoctoral fellowship at the Institute for Advanced Studies, Princeton, he returned to a senior scientist position in the Weizmann Institute's Particle Physics and Astrophysics Department. His research involves quantum theory, and it sheds new light on a number of related fields. One of his outstanding achievements was an article he published with the Institute’s Prof. Adam Schwimmer in 2011. This paper provided proof for a basic conjecture concerning theories of quantum fields (theories that describe the behavior of elementary particles) in four-dimensional space-time.
 
 
Dr. Zohar Komargodski
 
This conjecture was first proposed by the British physicist John Cardy in 1988. According to his theorem, inequalities arise in systems with known “rules” that involve large numbers of factors. The states of these systems cannot be explained just through knowing the rules and the various players. Examples of such systems include stock markets, traffic patterns and weather. The inequalities transpire between degrees of freedom: the degrees of freedom existing at short-distance scales (for example the scales of the new particles that LHC researchers hope to discover) versus those at longer-distance scales (for instance in the forms of matter we know today).

If Cardy’s theory proves correct, it might provide an explanation of how we arrive at the Standard Model – the main theory of particle physics in use today – when a system of infinitesimally small particles at small-distance scales and very high energies cools down. We might even begin to understand how the world as we know it arises out of a complex universe of subatomic particles and powerful forces.


Meeting on the beach


In 1986, about two years before Cardy presented his theory, another physicist, Alexander Zamolodchikov, had shown that this inequality between degrees of freedom on short-distance scales exists in two-dimensional systems (one dimension of space and one of time). Cardy took the idea one step further, theorizing a similar inequality in a four-dimensional system (three of space and one of time). But the theory remained open for the next 23 years, until one evening when Komargodski and Schwimmer, who were attending a conference together, were relaxing on a beach on an Aegean island. For the last few years, Schwimmer and Komargodski had been looking for a way to prove Cardy’s theorem and turn it into an accepted axiom. They had traded ideas and explored a number of different avenues, but none had really panned out. But that evening, sitting on the Aegean sands and relaxing between lectures, the two began to discuss their old problem. As the sun set over the blue water, the solution seem to float up to them: Although none of the methods they had applied to the problem had yielded the long-awaited proof, they realized that four or five of their beginnings might be combined into a framework on which they could erect that proof.
 
Dr. Zohar Komargodski’s research is supported by the Peter and Patricia Gruber Awards.

For more on the prizes: http://www.fundamentalphysicsprize.org/
 
 
Dr. Zohar Komargodski
Space & Physics
English

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