Noise-induced switching from a symmetry-protected shallow metastable state

Abstract

We consider escape from a metastable state of a nonlinear oscillator driven close to triple its eigenfrequency. The oscillator can have three stable states of period-3 vibrations and a zero-amplitude state. Because of the symmetry of period-tripling, the zero-amplitude state remains stable as the driving increases. However, it becomes shallow in the sense that the rate of escape from this state exponentially increases, while the system still lacks detailed balance. We find the escape rate and show how it scales with the parameters of the oscillator and the driving. The results facilitate using nanomechanical, Josephson-junction based, and other mesoscopic vibrational systems for studying, in a well-controlled setting, the rates of rare events in systems lacking detailed balance. They also describe how fluctuations spontaneously break the time-translation symmetry of a driven oscillator.

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• The large deviation approach to statistical mechanics
• Photon generation in an electromagnetic cavity with a time-dependent boundary
• Critical exponents in metastable decay via quantum activation
• Paths of fluctuation induced switching
• High-frequency stochastic switching of graphene resonators near room temperature
• Period-tripling subharmonic oscillations in a driven superconducting resonator
• Relaxation dynamics and dissipative phase transition in quantum oscillators with period tripling

Cited by in corpus (1)

• High-frequency stochastic switching of graphene resonators near room temperature