Dynamics of non-Markovian open quantum systems

Inés de Vega and Daniel Alonso
Rev. Mod. Phys. 89, 015001 – Published 20 January 2017

Abstract

Open quantum systems (OQSs) cannot always be described with the Markov approximation, which requires a large separation of system and environment time scales. An overview is given of some of the most important techniques available to tackle the dynamics of an OQS beyond the Markov approximation. Some of these techniques, such as master equations, Heisenberg equations, and stochastic methods, are based on solving the reduced OQS dynamics, while others, such as path integral Monte Carlo or chain mapping approaches, are based on solving the dynamics of the full system. The physical interpretation and derivation of the various approaches are emphasized, how they are connected is explored, and how different methods may be suitable for solving different problems is examined.

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  • Received 24 November 2015

DOI:https://doi.org/10.1103/RevModPhys.89.015001

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Inés de Vega

  • Department of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333 Munich, Germany

Daniel Alonso

  • Instituto de Estudios Avanzados (IUdEA) and Departamento de Física, Universidad de La Laguna, La Laguna 38204, Tenerife, Spain

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Issue

Vol. 89, Iss. 1 — January - March 2017

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