C. Davis-Tilley
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 |
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Dynamics of many-body quantum synchronisation
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Publisher Licence URL
https://creativecommons.org/licenses/by/3.0/
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