Quantum Synchronization of Twin Limit-Cycle Oscillators
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.
Cite
@article{arxiv.2502.21122,
title = {Quantum Synchronization of Twin Limit-Cycle Oscillators},
author = {Tobias Kehrer and Christoph Bruder and Parvinder Solanki},
journal= {arXiv preprint arXiv:2502.21122},
year = {2025}
}
Comments
7+7 pages, 3+5 figures; corrected typos, added references, improved Fig. 2, added Section 2 in Supplemental Material with Fig. S2