Abstract
We study how quantum and thermal noise affects synchronization of two optomechanical limit-cycle oscillators. Classically, in the absence of noise, optomechanical systems tend to synchronize either in-phase or anti-phase. Taking into account the fundamental quantum noise, we find a regime where fluctuations drive transitions between these classical synchronization states. We investigate how this ‘mixed’ synchronization regime emerges from the noiseless system by studying the classical-to-quantum crossover and we show how the time scales of the transitions vary with the effective noise strength. In addition, we compare the effects of thermal noise to the effects of quantum noise.
Highlights
The field of cavity optomechanics deals with systems where light in an optical cavity couples to mechanical motion [1]
In this work we study the effects of quantum and thermal noise on the synchronization of two optomechanical systems
The typical mode of operation is to have the two optomechanical oscillators at slightly different intrinsic mechanical frequencies. These start out un-synchronized but can synchronize upon changing some parameter. This is schematically shown in figure 2(b), where we indicate the synchronization regimes in the absence of noise
Summary
The field of cavity optomechanics deals with systems where light in an optical cavity couples to mechanical motion [1]. There are already first experiments that involve a few mechanical and optical modes [2,3,4,5], exploiting them for wavelength conversion, phonon lasing and efficient cooling Such few-mode optomechanical setups have been the subject of an increasing number of theoretical proposals, on topics such as efficient state transfer [6], two-mode squeezing [7], back-action evading measurements [8], entanglement [9,10,11] or Landau-Zener dynamics [12, 13]. Optomechanical arrays have attracted attention from a theoretical point of view They have been studied in the context of slowing light [21], Dirac physics [22], reservoir engineering [23], artificial magnetic fields for photons [24], heat transport [25], and topological phases of sound and light [26]. Multi-membrane systems [27,28,29,30] were studied theoretically, considering for instance long-range interactions and dynamics
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