Quantum critical temperature of a modulated oscillator

Abstract

We show that the rate of switching between the vibrational states of a modulated nonlinear oscillator is characterized by a quantum critical temperature $T_c\propto {\hslash }^2$. The rate is independent of $T$ for $T<T_c$. Above $T_c$ there emerges a quantum crossover region where the slope of the logarithm of the distribution over the oscillator states displays a kink and the switching rate has the Arrhenius form with the activation energy independent of the modulation. The results demonstrate the limitations of the real-time instanton theory of switching in systems lacking detailed balance.

8 pages

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• Photon generation in an electromagnetic cavity with a time-dependent boundary
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Cited by in corpus (7)

• Interaction-induced time-symmetry breaking in driven quantum oscillators
• Hidden time-reversal symmetry, quantum detailed balance and exact solutions of driven-dissipative quantum systems
• Time local master equation connecting the Born and Markov approximations
• Quantum fluctuations in modulated nonlinear oscillators
• Nonlocal random walk over Floquet states of a dissipative nonlinear oscillator
• Quantum properties of a strongly driven Josephson junction
• Engineering Arbitrary Hamiltonians in Phase Space