Survival of quantum effects for observables after decoherence

Abstract

When a quantum nonlinear system is linearly coupled to an infinite bath of harmonic oscillators, quantum coherence of the system is lost on a decoherence time-scale ${\tau }_D$. Nevertheless, quantum effects for observables may still survive environment-induced decoherence, and be observed for times much larger than the decoherence time-scale. In particular, we show that the Ehrenfest time, which characterizes a departure of quantum dynamics for observables from the corresponding classical dynamics, can be observed for a quasi-classical nonlinear oscillator for times $\tau \gg {\tau }_D$. We discuss this observation in relation to recent experiments on quantum nonlinear systems in the quasi-classical region of parameters.

arXiv commentsubmitted to PRA

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• Resonance Theory of Decoherence and Thermalization
• Time evolution of the classical and quantum mechanical versions of diffusive anharmonic oscillator: an example of Lie algebraic techniques
• Dynamics of Open Bosonic Quantum Systems in Coherent State Representation
• Upper Bounds for the Poincaré Recurrence Time in Quantum Mixed States
• Robust Negativity in the Quantum-to-Classical Transition of Kerr Dynamics