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arXiv · 1206.4490

General non-Markovian dynamics of open quantum systems

Wei-Min Zhang·Ping-Yuan Lo·Heng-Na Xiong·Matisse Wei-Yuan Tu·Franco Nori
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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.

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Wei-Min Zhang, Ping-Yuan Lo, Heng-Na Xiong, Matisse Wei-Yuan Tu, Franco Nori. 2012-06-20. General non-Markovian dynamics of open quantum systems. https://doi.org/10.1103/physrevlett.109.170402

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