Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation

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dc.creatorBreuer, Heinz-Peter
dc.creatorVacchini, Bassano
dc.date2007-07-17
dc.date.accessioned2026-07-07T08:31:18Z
dc.date.available2026-07-07T08:31:18Z
dc.descriptionRecently the general form of a translation-covariant quantum Boltzmann equation has been derived which describes the dynamics of a tracer particle in a quantum gas. We develop a stochastic wave function algorithm that enables full three-dimensional Monte Carlo simulations of this equation. The simulation method is used to study the approach to equilibrium for various scattering cross sections and to determine dynamical deviations from Gaussian statistics through an investigation of higher-order cumulants. Moreover, we examine the loss of coherence of superpositions of momentum eigenstates and determine the corresponding decoherence time scales to quantify the transition from quantum to classical behavior of the state of the test particle.
dc.description11 pages, revtex, 11 figures
dc.identifierhttps://arxiv.org/abs/0707.2539
dc.identifierhttp://arxiv.org/abs/0707.2539
dc.identifierPhys. Rev. E 76 (2007) 036706
dc.identifierdoi:10.1103/PhysRevE.76.036706
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138463
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleThree-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation
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