Quantum Synchronization of Twin Limit-Cycle Oscillators

Fuente: arXiv
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Autori principali: Kehrer, Tobias, Bruder, Christoph, Solanki, Parvinder
Natura: Preprint
Pubblicazione: 2025
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author Kehrer, Tobias
Bruder, Christoph
Solanki, Parvinder
author_facet Kehrer, Tobias
Bruder, Christoph
Solanki, Parvinder
contents Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Liénard system whose classical equivalent features two limit cycles to one of which the system will converge. In the quantum case, both limit cycles coexist in a single steady state. Each of these limit cycles localizes to a distinct phase if coupled to an external drive: one quantum state can thus be assigned two phases. Furthermore, coupling two such oscillators leads to the simultaneous appearance of synchronization and a synchronization blockade. To shed light on this apparent paradoxical result, we introduce finer measures of quantum synchronization.
format Preprint
id arxiv_https___arxiv_org_abs_2502_21122
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Synchronization of Twin Limit-Cycle Oscillators
Kehrer, Tobias
Bruder, Christoph
Solanki, Parvinder
Quantum Physics
Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Liénard system whose classical equivalent features two limit cycles to one of which the system will converge. In the quantum case, both limit cycles coexist in a single steady state. Each of these limit cycles localizes to a distinct phase if coupled to an external drive: one quantum state can thus be assigned two phases. Furthermore, coupling two such oscillators leads to the simultaneous appearance of synchronization and a synchronization blockade. To shed light on this apparent paradoxical result, we introduce finer measures of quantum synchronization.
title Quantum Synchronization of Twin Limit-Cycle Oscillators
topic Quantum Physics
url https://arxiv.org/abs/2502.21122