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Solving the Quantum Time Problem

New theoretical research yields surprising conclusions about quantum systems

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In no time at all

Often solving one problem leads a scientist to the solution of a completely different kind of problem. Prof. Eli Pollak of the Weizmann Institute of Science’s Chemical Physics Department had developed a theory based on elemental classical physics – Newtonian mechanics – to answer a question about proteins: How long, on average, does it take a protein to make the transition from a folded form to the unfolded one and vice versa? He then realized that this problem could be generalized and studied from the point of view of quantum mechanics. But asking the time question in the realm of quantum physics led to another sort of time problem, as the basic question – what is time? – has not yet been satisfactorily answered in a quantum physics framework. Pollak now suggests a solution to the time problem for certain quantum particle dynamics. 

Sometimes, the longer the distance a system through which a system moves, and thus the larger the change, the shorter the time required

To solve the quantum time problem, Pollak showed that one may investigate the probability that at any particular point in time, the system will undergo a change from one quantum state to another quantum state. Intriguing quantum phenomena include tunneling – a fascinating property in which a particle is able to pass through a classically insurmountable barrier. So the question then becomes: How much time does it take for a quantum particle to tunnel through a barrier? Pollak calculated this process and proved that at the low temperatures in which quantum phenomena emerge, the average time required for tunneling through a barrier may be zero. That is, the passage through the barrier occurs in no time at all. In a continuation of the same calculation, he showed that distance comes into play as well: Sometimes, the longer the distance a system through which a system moves, and thus the larger the change, the shorter the time required.

Prof. Eli Pollack asked a tricky question about time

Another development arising from the same calculation led Pollak to yet another surprising conclusion: In systems such as those he investigated, it is possible to identify the location of a quantum moving particle with nearly exact accuracy. In other words, this finding significantly limited the uncertainty described in the well-known Heisenberg uncertainty principle of quantum physics. These calculations appeared in two recent papers that were published in the Journal of Physical Chemistry Letters and Physical Review Letters. Pollak says that the approach of studying time through spatial changes in space is moving us closer to understanding the role of time in systems that operate according to the intriguing laws of quantum mechanics. 

Prof. Eli Pollak is the incumbent of the Sam and Ayala Zacks Professorial Chair. 



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