Monitoring derivation of the quantum linear Boltzmann equation
Quantum Physics
2009-06-09 v2 Mathematical Physics
math.MP
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 in [EPL 77, 50007 (2007)]. The resulting Lindblad master equation accounts for the quantum effects of the scattering dynamics in a non-perturbative 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.
Cite
@article{arxiv.0711.3109,
title = {Monitoring derivation of the quantum linear Boltzmann equation},
author = {Klaus Hornberger and Bassano Vacchini},
journal= {arXiv preprint arXiv:0711.3109},
year = {2009}
}
Comments
published version, 20 pages, 2 figures; now in fancy two-column format