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Quantum synchronisation enabled by dynamical symmetries and dissipation

Abstract:
In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work we show that this need not be the case, identifying symmetry-based conditions which, when satisfied, guarantee completely synchronous, entangled limit cycles between the individual constituents of a generic open quantum system - no restrictions are placed on its microscopic details. We describe these systems as posssessing a strong dynamical symmetry and we prove that, to first order, they are completely robust to symmetry-breaking perturbations. Using these ideas we identify two central examples where synchronisation arises via this qualitatively new mechanism: a chain of quadratically dephased spin-1s and the many-body charge-dephased Hubbard model. In both cases, due to their dynamical symmetries, perfect phase-locking occurs throughout the system, regardless of the specific microscopic parameters or initial states. Furthermore, when these systems are perturbed, their non-linear responses elicit long-lived signatures of both phase and frequency-locking.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/1367-2630/ab60f5

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Oxford college:
Wolfson College
Role:
Author
More by this author
Institution:
University of Oxford
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author
ORCID:
0000-0003-3119-412X


Publisher:
IOP Publishing
Journal:
New Journal of Physics More from this journal
Volume:
22
Pages:
013026
Publication date:
2019-12-11
Acceptance date:
2019-12-11
DOI:
ISSN:
1367-2630


Keywords:
Pubs id:
pubs:1039609
UUID:
uuid:85fc7198-198d-465e-a915-5b3e3ed746fa
Local pid:
pubs:1039609
Source identifiers:
1039609
Deposit date:
2020-01-09

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