Quantum synchronization of two Van der Pol oscillators
Stefan Walter, Andreas Nunnenkamp, and Christoph Bruder
TL;DR
This paper investigates quantum synchronization in two dissipatively coupled Van der Pol oscillators, highlighting the effects of quantum noise and proposing an optomechanical experimental setup.
Contribution
It introduces the concept of quantum frequency entrainment in coupled Van der Pol oscillators and compares it to driven single oscillators, with an experimental proposal.
Findings
Quantum noise prevents strict frequency locking.
A crossover from weak to strong entrainment is observed.
An optomechanical realization is proposed.
Abstract
We study synchronization of two dissipatively coupled Van der Pol oscillators in the quantum regime. Due to quantum noise strict frequency locking is absent and is replaced by a crossover from weak to strong frequency entrainment. We discuss the differences to the behavior of one quantum Van der Pol oscillator subject to an external drive. Moreover, we describe a possible experimental realization of two coupled quantum van der Pol oscillators in an optomechanical setting.
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