Monitoring derivation of the quantum linear Boltzmann equation
Abstract
We show how the effective equation of motion for a distinguished quantum particle in an ideal gas environment can be obtained by means of the monitoring approach introduced by Hornberger [EPL 77, 50007 (2007)]. The resulting Lindblad master equation accounts for the quantum effects of the scattering dynamics in a nonperturbative fashion and it describes decoherence and dissipation in a unified framework. It incorporates various established equations as limiting cases and reduces to the classical linear Boltzmann equation once the state is diagonal in momentum.
 Publication:

Physical Review A
 Pub Date:
 February 2008
 DOI:
 10.1103/PhysRevA.77.022112
 arXiv:
 arXiv:0711.3109
 Bibcode:
 2008PhRvA..77b2112H
 Keywords:

 03.65.Yz;
 05.20.Dd;
 03.75.b;
 47.45.Ab;
 Decoherence;
 open systems;
 quantum statistical methods;
 Kinetic theory;
 Matter waves;
 Kinetic theory of gases;
 Quantum Physics;
 Mathematical Physics
 EPrint:
 published version, 20 pages, 2 figures