English

Quantum dissipative systems from theory of continuous measurements

Quantum Physics 2009-11-07 v1

Abstract

We apply the restricted-path-integral (RPI) theory of non-minimally disturbing continuous measurements for correct description of frictional Brownian motion. The resulting master equation is automatically of the Lindblad form, so that the difficulties typical of other approaches do not exist. In the special case of harmonic oscillator the known familiar master equation describing its frictionally driven Brownian motion is obtained. A thermal reservoir as a measuring environment is considered.

Keywords

Cite

@article{arxiv.quant-ph/0212104,
  title  = {Quantum dissipative systems from theory of continuous measurements},
  author = {Michael B. Mensky and Stig Stenholm},
  journal= {arXiv preprint arXiv:quant-ph/0212104},
  year   = {2009}
}

Comments

10 pages in LATEX

R2 v1 2026-07-22T19:37:38.549Z