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arXiv · 2502.21122

Quantum Synchronization of Twin Limit-Cycle Oscillators

Tobias Kehrer·Christoph Bruder·Parvinder Solanki
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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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Tobias Kehrer, Christoph Bruder, Parvinder Solanki. 2025-02-28. Quantum Synchronization of Twin Limit-Cycle Oscillators. https://doi.org/10.1103/f97j-474c

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