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.
Keywords
Cite
@article{arxiv.1206.4490,
title = {General non-Markovian dynamics of open quantum systems},
author = {Wei-Min Zhang and Ping-Yuan Lo and Heng-Na Xiong and Matisse Wei-Yuan Tu and Franco Nori},
journal= {arXiv preprint arXiv:1206.4490},
year = {2013}
}
Comments
6 pages, 2 figures