Quantum Kinetic Theory III: Simulation of the Quantum Boltzmann Master Equation

Details Quantum Kinetic Theory III: Simulation of the Quantum Boltzmann Master Equation Quantum Kinetic Theory III: Simulation of the Quantum Boltzmann Master Equation

1997-01-07

arxiv.org/abs/quant-ph/9701008v2

Physics

Quantum Physics

12 pages, 15 figures

Scientific paper

10.1103/PhysRevA.56.575

We present results of simulations of a em quantum Boltzmann master equation (QBME) describing the kinetics of a dilute Bose gas confined in a trapping potential in the regime of Bose condensation. The QBME is the simplest version of a quantum kinetic master equations derived in previous work. We consider two cases of trapping potentials: a 3D square well potential with periodic boundary conditions, and an isotropic harmonic oscillator. We discuss the stationary solutions and relaxation to equilibrium. In particular, we calculate particle distribution functions, fluctuations in the occupation numbers, the time between collisions, and the mean occupation numbers of the one-particle states in the regime of onset of Bose condensation.

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