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Monitoring derivation of the quantum linear Boltzmann equation

2007/11/30 by Klaus Hornberger, Bassano Vacchini · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physreva.77.022112

published as Phys. Rev. A 77, 022112 (2008) · published version, 20 pages, 2 figures; now in fancy two-column format

openalex publication_date 2008/02/19 · arxiv created 2008/02/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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