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Dynamics of many-body quantum synchronisation

Davis-Tilley, C.; Teoh, C.K.; Armour, A.D.

Authors

C. Davis-Tilley

C.K. Teoh

A.D. Armour



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.

Journal Article Type Article
Publication Date Oct 18, 2018
Journal New Journal of Physics
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 20
Article Number 113002
APA6 Citation Davis-Tilley, C., Teoh, C., & Armour, A. (2018). Dynamics of many-body quantum synchronisation. New Journal of Physics, 20, doi:10.1088/1367-2630/aae947
DOI https://doi.org/10.1088/1367-2630/aae947
Publisher URL http://iopscience.iop.org/article/10.1088/1367-2630/aae947

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