Three-dimensional Monte Carlo simulations of the quantum linear Boltzmann equation
arXiv:0707.2539 · 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.
11 pages, revtex, 11 figures
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- Quantum linear Boltzmann equation
- Monitoring derivation of the quantum linear Boltzmann equation
- Non-Markovian dynamics for bipartite systems
- Dissipative extension of the Ghirardi-Rimini-Weber model
- Adaptive Resummation of Markovian Quantum Dynamics
- Optimally Convergent Quantum Jump Expansion
- Stochastic simulation algorithm for the quantum linear Boltzmann equation
- Comment on "Quantum linear Boltzmann equation with finite intercollision time"
- Collisional decoherence of a tracer particle moving in one dimension