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 approximation by
decomposing the c-number field into a variational ansatz function and a
residual field. 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 and neglect the influence of the
residual field. The accuracy and computational inexpensiveness of our method
are demonstrated by comparing its predictions to experimental data.
Beschreibung
[2106.05354] Variational truncated Wigner approximation for weakly interacting Bose fields: Dynamics of coupled condensates
%0 Generic
%1 mink2021variational
%A Mink, Christopher D.
%A Pelster, Axel
%A Benary, Jens
%A Ott, Herwig
%A Fleischhauer, Michael
%D 2021
%K journalclubqo theory truncated_Wigner
%T Variational truncated Wigner approximation for weakly interacting Bose
fields: Dynamics of coupled condensates
%U http://arxiv.org/abs/2106.05354
%X 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 approximation by
decomposing the c-number field into a variational ansatz function and a
residual field. 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 and neglect the influence of the
residual field. The accuracy and computational inexpensiveness of our method
are demonstrated by comparing its predictions to experimental data.
@misc{mink2021variational,
abstract = {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 approximation by
decomposing the c-number field into a variational ansatz function and a
residual field. 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 and neglect the influence of the
residual field. The accuracy and computational inexpensiveness of our method
are demonstrated by comparing its predictions to experimental data.},
added-at = {2021-06-21T11:59:15.000+0200},
author = {Mink, Christopher D. and Pelster, Axel and Benary, Jens and Ott, Herwig and Fleischhauer, Michael},
biburl = {https://www.bibsonomy.org/bibtex/2fa63d2cc00d496037f2c14769fc000ac/j.siemss},
description = {[2106.05354] Variational truncated Wigner approximation for weakly interacting Bose fields: Dynamics of coupled condensates},
interhash = {eb3382a1fa988aeea7d3cbd92fce4d1d},
intrahash = {fa63d2cc00d496037f2c14769fc000ac},
keywords = {journalclubqo theory truncated_Wigner},
note = {cite arxiv:2106.05354Comment: 11 pages, 6 figures},
timestamp = {2021-06-21T11:59:15.000+0200},
title = {Variational truncated Wigner approximation for weakly interacting Bose
fields: Dynamics of coupled condensates},
url = {http://arxiv.org/abs/2106.05354},
year = 2021
}