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Title: Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion

Journal Article · · Physical Review. A
 [1];  [2]
  1. Theoretische Quantendynamik, Physikalisches Institut, Universitaet Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg (Germany)
  2. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)

Stochastic Schroedinger equations for quantum trajectories offer an alternative and sometimes superior approach to the study of open quantum system dynamics. Here we show that recently established convolutionless non-Markovian stochastic Schroedinger equations may serve as a powerful tool for the derivation of convolutionless master equations for non-Markovian open quantum systems. The most interesting example is quantum Brownian motion (QBM) of a harmonic oscillator coupled to a heat bath of oscillators, one of the most employed exactly soluble models of open system dynamics. We show explicitly how to establish the direct connection between the exact convolutionless master equation of QBM and the corresponding convolutionless exact stochastic Schroedinger equation.

OSTI ID:
20641110
Journal Information:
Physical Review. A, Vol. 69, Issue 5; Other Information: DOI: 10.1103/PhysRevA.69.052115; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English

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