Variational truncated Wigner approximation for weakly interacting Bose fields: Dynamics of coupled condensates
Mink CD, Pelster A, Benary J, Ott H, Fleischhauer M (2022)
Publication Type: Journal article
Publication year: 2022
Journal
Book Volume: 12
Article Number: 051
Journal Issue: 2
DOI: 10.21468/SCIPOSTPHYS.12.2.051
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 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.
Involved external institutions
Germany (DE)How to cite
APA:
Mink, C.D., Pelster, A., Benary, J., Ott, H., & Fleischhauer, M. (2022). Variational truncated Wigner approximation for weakly interacting Bose fields: Dynamics of coupled condensates. SciPost Physics, 12(2). https://dx.doi.org/10.21468/SCIPOSTPHYS.12.2.051
MLA:
Mink, C. D., et al. "Variational truncated Wigner approximation for weakly interacting Bose fields: Dynamics of coupled condensates." SciPost Physics 12.2 (2022).
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