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Journal articles
Unitary dynamics of strongly interacting Bose gases with the time-dependent variational Monte Carlo method in continuous space
Abstract : We introduce the time-dependent variational Monte Carlo method for continuous-space Bose gases. Our
approach is based on the systematic expansion of the many-body wave function in terms of multibody
correlations and is essentially exact up to adaptive truncation. The method is benchmarked by comparison
to an exact Bethe ansatz or existing numerical results for the integrable Lieb-Liniger model. We first show
that the many-body wave function achieves high precision for ground-state properties, including energy
and first-order as well as second-order correlation functions. Then, we study the out-of-equilibrium, unitary
dynamics induced by a quantum quench in the interaction strength. Our time-dependent variational
Monte Carlo results are benchmarked by comparison to exact Bethe ansatz results available for a small
number of particles, and are also compared to quench action results available for noninteracting initial
states. Moreover, our approach allows us to study large particle numbers and general quench protocols,
previously inaccessible beyond the mean-field level. Our results suggest that it is possible to find correlated
initial states for which the long-term dynamics of local density fluctuations is close to the predictions of a
simple Boltzmann ensemble.
https://hal-polytechnique.archives-ouvertes.fr/hal-01580758
Contributor : Laurent Sanchez-Palencia <>
Submitted on : Saturday, September 2, 2017 - 5:44:24 AM
Last modification on : Wednesday, October 14, 2020 - 4:19:06 AM
Contributor : Laurent Sanchez-Palencia <>
Submitted on : Saturday, September 2, 2017 - 5:44:24 AM
Last modification on : Wednesday, October 14, 2020 - 4:19:06 AM