Journal article
Algebraic theory of quantum synchronization and limit cycles under dissipation
- Abstract:
- Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been found. We develop such a general theory based on novel necessary and sufficient algebraic criteria for persistently oscillating eigenmodes (limit cycles) of time-independent quantum master equations. We show these eigenmodes must be quantum coherent and give an exact analytical solution for all such dynamics in terms of a dynamical symmetry algebra. Using our theory, we study both stable synchronization and metastable/transient synchronization. We use our theory to fully characterise spontaneous synchronization of autonomous systems. Moreover, we give compact algebraic criteria that may be used to prove absence of synchronization. We demonstrate synchronization in several systems relevant for various fermionic cold atom experiments.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 2.1MB, Terms of use)
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- Publisher copy:
- 10.21468/SciPostPhys.12.3.097
Authors
- Publisher:
- SciPost
- Journal:
- SciPost Physics More from this journal
- Volume:
- 12
- Article number:
- 097
- Publication date:
- 2022-03-17
- Acceptance date:
- 2022-02-16
- DOI:
- Language:
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English
- Keywords:
- Pubs id:
-
1167742
- Local pid:
-
pubs:1167742
- Deposit date:
-
2022-10-25
Terms of use
- Copyright holder:
- Buča et al.
- Copyright date:
- 2021
- Rights statement:
- Copyright © Buča et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
- Licence:
- CC Attribution (CC BY)
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