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arXiv · 1808.05047

Dynamics of Many-Body Quantum Synchronisation

C. Davis-Tilley·C. K. Teoh·A. D. Armour
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Abstract

We analyse the properties of the synchronisation transition in a many-body system consisting of quantum van der Pol oscillators with all-to-all coupling using a self-consistent mean-field method. We find that the synchronised state, which the system can access for oscillator couplings above a critical value, is characterised not just by a lower phase uncertainty than the corresponding unsynchronised state, but also a higher number uncertainty. Just below the critical coupling the system can evolve to the unsynchronised steady state via a long-lived transient synchronised state. We investigate the way in which this transient state eventually decays and show that the critical scaling of its lifetime is consistent with a simple classical model.

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C. Davis-Tilley, C. K. Teoh, A. D. Armour. 2018-08-15. Dynamics of Many-Body Quantum Synchronisation. https://doi.org/10.1088/1367-2630/aae947

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