Quantum synchronization
O.V. Zhirov, D.L.Shepelyansky (BINP, Novosibirsk, CNRS,, Toulouse)
TL;DR
This paper investigates quantum synchronization in a dissipative system with periodic driving, showing how quantum effects influence classical synchronization patterns and drawing parallels with Josephson junction phenomena.
Contribution
It numerically demonstrates the persistence and destruction of quantum synchronization depending on the Planck constant, linking classical and quantum behaviors.
Findings
Classical devil's staircase remains robust at small ${h}$
Quantum synchronization plateaus are destroyed at large ${h}$
Quantum synchronization can be experimentally realized with cold atoms
Abstract
Using the methods of quantum trajectories we study numerically the phenomenon of quantum synchronization in a quantum dissipative system with periodic driving. Our results show that at small values of Planck constant the classical devil's staircase remains robust with respect to quantum fluctuations while at large values synchronization plateaus are destroyed. Quantum synchronization in our model has close similarities with Shapiro steps in Josephson junctions and it can be also realized in experiments with cold atoms.
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