Test Particle in a Quantum Gas

Details Test Particle in a Quantum Gas Test Particle in a Quantum Gas

2000-12-22

arxiv.org/abs/quant-ph/0012129v1

Phys. Rev. E 63 (2001) 066115

Physics

Quantum Physics

9 pages, revtex, no figures

Scientific paper

10.1103/PhysRevE.63.066115

A master equation with a Lindblad structure is derived, which describes the interaction of a test particle with a macroscopic system and is expressed in terms of the operator valued dynamic structure factor of the system. In the case of a free Fermi or Bose gas the result is evaluated in the Brownian limit, thus obtaining a single generator master equation for the description of quantum Brownian motion in which the correction due to quantum statistics is explicitly calculated. The friction coefficients for Boltzmann and Bose or Fermi statistics are compared.

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