Stochastic quantum dynamics in 1D and lattice systems

Details Stochastic quantum dynamics in 1D and lattice systems Stochastic quantum dynamics in 1D and lattice systems

2010-09-06

arxiv.org/abs/1009.1073v1

Physics

Condensed Matter

Quantum Gases

Chapter in "Non-Equilibrium Quantum Gases at Finite Temperatures", ed. M. Davis, S. Gardiner, N. Nygaard, N. Proukakis, and M.

Scientific paper

We show that stochastic phase-space methods within the truncated Wigner approximation can be used to solve non-equilibrium dynamics of bosonic atoms in 1d traps. We consider systems both with and without an optical lattice and address different approximations in stochastic synthesization of quantum statistical correlations of the initial atomic field operator. We also present a numerically efficient projection method for analyzing correlation functions of the simulation results. Physical examples demonstrate non-equilibrium quantum dynamics of solitons and atom number squeezing in optical lattices in which case we, e.g., numerically track the soliton coordinates and calculate quantum mechanical expectation values and uncertainties for the position of the soliton.

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