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

Journal Article · Sat May 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.052115· OSTI ID:20641110

Strunz, Walter T ^[1]; Ting, Yu ^[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, Journal Name: Physical Review. A Journal Issue: 5 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BROWNIAN MOVEMENT
HARMONIC OSCILLATORS
MARKOV PROCESS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
TRAJECTORIES