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K. Hornberger and B. Vacchini
Monitoring derivation of the quantum linear Boltzmann equation,
Phys. Rev. A 77, 022112 (2008)


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.

(18 pages, 2 figures)   [pdf, journal, arXiv:0711.3109]

doi:10.1103/PhysRevA.77.022112             (c) The American Physical Society

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