Quantum synchronization of twin limit-cycle oscillators

• URL: http://arxiv.org/abs/2502.21122v1
• Date: Fri, 28 Feb 2025 14:56:43 GMT
• Title: Quantum synchronization of twin limit-cycle oscillators
• Authors: Tobias Kehrer, Christoph Bruder, Parvinder Solanki,
• Abstract summary: We propose a quantum Li'enard system whose classical equivalent features two limit cycles to one of which the system will converge.<n>In the quantum case, both limit cycles coexist in a single steady state.<n>To shed light on this apparent paradoxical result, we introduce finer measures of quantum synchronization.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Li\'enard 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.

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