Quantum Master Equation of Particle in Gas Environment

Details Quantum Master Equation of Particle in Gas Environment Quantum Master Equation of Particle in Gas Environment

1994-03-23

arxiv.org/abs/gr-qc/9403046v1

Europhys.Lett.30:63-68,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages PlainTeX, 23-March-1994

Scientific paper

10.1209/0295-5075/30/2/001

The evolution of the reduced density operator $\rho$ of Brownian particle is discussed in single collision approach valid typically in low density gas environments. This is the first succesful derivation of quantum friction caused by {\it local} environmental interactions. We derive a Lindblad master equation for $\rho$, whose generators are calculated from differential cross section of a single collision between Brownian and gas particles, respectively. The existence of thermal equilibrium for $\rho$ is proved. Master equations proposed earlier are shown to be particular cases of our one.

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