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Breuer HP, Vacchini B. Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2007;76(3):036706doi: 10.1103/PhysRevE.76.036706.
Breuer, H. P., & Vacchini, B. (2007). Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation. Physical review. E, Statistical, nonlinear, and soft matter physics, 76(3), 036706. https://doi.org/10.1103/PhysRevE.76.036706
Breuer, Heinz-Peter, and Vacchini, Bassano. "Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 76,3 (2007): 036706. doi: https://doi.org/10.1103/PhysRevE.76.036706
Breuer HP, Vacchini B. Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Sep;76(3):036706. doi: 10.1103/PhysRevE.76.036706. Epub 2007 Sep 17. PMID: 17930360.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Sep;76(3):036706. doi: 10.1103/PhysRevE.76.036706. Epub 2007 Sep 17.

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

Physical review. E, Statistical, nonlinear, and soft matter physics

Heinz-Peter Breuer, Bassano Vacchini

Affiliations

  1. Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany. [email protected]

PMID: 17930360 DOI: 10.1103/PhysRevE.76.036706

Abstract

Recently 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.

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