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

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

2007-07-17

arxiv.org/abs/0707.2539v1

Phys. Rev. E 76 (2007) 036706

Physics

Quantum Physics

11 pages, revtex, 11 figures

Scientific paper

10.1103/PhysRevE.76.036706

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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