General non-Markovian dynamics of open quantum systems

Abstract

We present a general theory of non-Markovian dynamics for open quantum systems. We explore the non-Markovian dynamics by connecting the exact master equations with the non-equilibirum Green functions. Environmental back-actions are fully taken into account. The non-Markovian dynamics consists of non-exponential decays and dissipationless oscillations. Non-exponential decays are induced by the discontinuity in the imaginary part of the self-energy corrections. Dissipationless oscillations arise from band gaps or the finite band structure of spectral densities. The exact analytic solutions for various non-Markovian environments show that the non-Markovian dynamics can be largely understood from the environmental-modified spectra of the open systems.

6 pages, 2 figures

References in corpus (9)

• Superconducting Circuits and Quantum Information
• Assessing non-Markovian dynamics
• Dynamics of the entanglement between two oscillators in the same environment
• On measures of non-Markovianity: divisibility vs. backflow of information
• Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
• Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
• The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
• Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
• Exact non-Markovian cavity dynamics strongly coupled to a reservoir

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