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Exact<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">c</mml:mi></mml:math>-Number Representation of Non-Markovian Quantum Dissipation

2002/03/08 by Jürgen T. Stockburger, J. Stockburger, H. Grabert +1 · 4 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications #cond-mat.stat-mech #physics.comp-ph #quant-ph

paper · pdf · doi:10.1103/physrevlett.88.170407

published as Phys. Rev. Lett. 88, 170407 (2002) · 4 pages, 2 figures. To be published in Phys. Rev. Lett

arxiv created 2002/03/08 · openalex publication_date 2002/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact representation in terms of a stochastic Schrödinger equation. All memory effects of the reservoir are transformed into noise correlations and mean-field friction. The classical limit of the resulting stochastic dynamics is shown to be a generalized Langevin equation, and conventional quantum state diffusion is recovered in the Born-Markov approximation. The non-Markovian exact dynamics, valid at arbitrary temperature and damping strength, is exemplified by an application to the dissipative two-state system.

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