Journals of the American Physical Society - Monitoring derivation of the quantum linear Boltzmann equation

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January 2008, to be published in Physical Review A

Monitoring derivation of the quantum linear Boltzmann equation
Klaus Hornberger and Bassano Vacchini

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.

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