%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 }