Exact non-Markovian cavity dynamics strongly coupled to a reservoir

Abstract

The exact non-Markovian dynamics of a microcavity strongly coupled to a general reservoir at arbitrary temperature is studied. With the exact master equation for the reduced density operator of the cavity system, we analytically solve the time evolution of the cavity state and the associated physical observables. We show that the non-Markovian dynamics is completely determined by the propagating (retarded) and correlation Green functions. Compare the non-Markovian behavior at finite temperature with those at zero-temperature limit or Born-Markov limit, we find that the non-Markovian memory effect can dramatically change the coherent and thermal dynamics of the cavity. We also numerically study the dissipation dynamics of the cavity through the mean mode amplitude decay and the average photon number decay in the microwave regime. It is shown that the strong coupling between the cavity and the reservoir results in a long-time dissipationless evolution to the cavity field amplitude, and its noise dynamics undergoes a critical transition from the weak to strong coupling due to the non-Markovian memory effect.

arXiv comment12 pages, 6 figures

References in corpus (15)

• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Non-Markovian Quantum State Diffusion
• Quantum Networking with Optical Fibres
• A non-Markovian decoherence theory for double dot charge qubit
• Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion revisited
• Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
• Alternative Derivation of the Hu-Paz-Zhang Master Equation for Quantum Brownian Motion
• Exact solution of the Hu-Paz-Zhang master equation
• Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath
• Non-Markovian Decay and Lasing Condition in an Optical Microcavity Coupled to a Structured Reservoir
• Simulating quantum Brownian motion with single trapped ions
• Environment-dependent dissipation in quantum Brownian motion
• Driven harmonic oscillator as a quantum simulator for open systems
• Exact Master Equation and Non-Markovian Decoherence for Quantum Dot Quantum Computing
• Robust transmission of non-Gaussian entanglement over optical fibers

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