Journal
SCIPOST PHYSICS
Volume 12, Issue 2, Pages -Publisher
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.12.2.051
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The truncated Wigner approximation is a method for describing the dynamics of weakly interacting Bose gases. In this paper, a numerically inexpensive scheme is developed by approximating the c-number field, and its accuracy and efficiency are demonstrated by comparing predictions to experimental data.
The truncated Wigner approximation is an established approach that describes the dynamics of weakly interacting Bose gases beyond the mean-field level. Although it allows a quantum field to be expressed by a stochastic c-number field, the simulation of the time evolution is still very demanding for most applications. Here, we develop a numerically inexpensive scheme by approximating the c-number field with a variational ansatz. The dynamics of the ansatz function is described by a tractable set of coupled ordinary stochastic differential equations for the respective variational parameters. We investigate the non-equilibrium dynamics of a three-dimensional Bose gas in a one-dimensional optical lattice with a transverse isotropic harmonic confinement. The accuracy and computational inexpensiveness of our method are demonstrated by comparing its predictions to experimental data.
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