Quantum dissipative systems from theory of continuous measurements

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.

10 pages in LATEX

References in corpus (2)

• Quantum Master Equation of Particle in Gas Environment
• Models for local ohmic quantum dissipation

Cited by in corpus (6)

• Measurement master equation
• Non-Markovian Particle Dynamics in Continuously Controlled Quantum Gases
• Quantum continuous measurements, dynamical role of information and restricted path integrals
• Frictional quantum decoherence
• Test of the quantumness of atom-atom correlations in a bosonic gas
• Quantum transfer through a continuum under continuous monitoring