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Natural correlation between a system and a thermal reservoir

Takashi Mori
Phys. Rev. A 89, 040101(R) – Published 2 April 2014

Abstract

Non-Markovian corrections to the Markovian quantum master equation of an open quantum system are investigated up to the second order of the interaction between the system of interest and a thermal reservoir. The concept of “natural correlation” is discussed. When the system is naturally correlated with a thermal reservoir, the time evolution of the reduced density matrix looks Markovian even in a short-time regime. If the total system was initially in an “unnatural” state, the natural correlation is established during the time evolution, and after that the time evolution becomes Markovian in a long-time regime. It is also shown that for a certain set of reduced density matrices, the naturally correlated state does not exist. If the initial reduced density matrix has no naturally correlated state, the time evolution is inevitably non-Markovian in a short-time regime.

  • Figure
  • Received 25 October 2013

DOI:https://doi.org/10.1103/PhysRevA.89.040101

©2014 American Physical Society

Authors & Affiliations

Takashi Mori*

  • Department of Physics, Graduate School of Science, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan

  • *mori@spin.phys.s.u-tokyo.ac.jp

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Issue

Vol. 89, Iss. 4 — April 2014

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