Quantum master equations from classical Lagrangians with two stochastic forces

2006/09/30 by А. В. Додонов, A. V. Dodonov, S. S. Mizrahi +1
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1103/physreve.75.011132

published as Physical Review E 75, 011132 (2007) · 10 pages, no figures

openalex publication_date 2007/01/29 · arxiv created 2007/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how a large family of master equations, describing quantum Brownian motion of a harmonic oscillator with translationally invariant damping, can be derived within a phenomenological approach, based on the assumption that an environment can be simulated by two classical stochastic forces. This family is determined by three time-dependent correlation functions (besides the frequency and damping coefficients), and it includes as special cases the known master equations, whose dissipative part is bilinear with respect to the operators of coordinate and momentum.

Citations

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