Quantum synchronization of twin limit-cycle oscillators

Fig. 1: Twin Limit Cycle

Abstract

Quantum synchronization has been a subject of intensive research in the last decade. In this work, we propose a quantum Lienard 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.

Publication
Tobias Kehrer
Tobias Kehrer
PhD candidate

My research interests include quantum computing and quantum simulation.