Dynamics of many-body quantum synchronisation

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

Abstract

© 2018 The Author(s). The Author(s). Published by IOP Publishing on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. 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.

Citation

Davis-Tilley, C., Teoh, C. K., & Armour, A. D. (2018). Dynamics of many-body quantum synchronisation. New Journal of Physics, 20(11), Article 113002. https://doi.org/10.1088/1367-2630/aae947

• Journal Article Type: Article
• Acceptance Date: Nov 6, 2018
• Online Publication Date: Oct 18, 2018
• Publication Date: Nov 6, 2018
• Deposit Date: Oct 19, 2018
• Publicly Available Date: Nov 6, 2018
• Journal: New Journal of Physics
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 20
• Issue: 11
• Article Number: 113002
• DOI: https://doi.org/10.1088/1367-2630/aae947
• Public URL: https://nottingham-repository.worktribe.com/output/1176628
• Publisher URL: http://iopscience.iop.org/article/10.1088/1367-2630/aae947
• Contract Date: Oct 19, 2018