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A generalized phase space approach for solving quantum spin dynamics | | Bihui Zhu
; Ana Maria Rey
; Johannes Schachenmayer
; | | Date: |
21 May 2019 | | Abstract: | Numerical techniques to efficiently model out-of-equilibrium dynamics in
interacting quantum many-body systems are key for advancing our capability to
harness and understand complex quantum matter. Here we propose a new numerical
approach which we refer to as GDTWA. It is based on a discrete semi-classical
phase-space sampling and allows to investigate quantum dynamics in lattice spin
systems with arbitrary $Sgeq 1/2$. We show that the GDTWA can accurately
simulate dynamics of large ensembles in arbitrary dimensions. We apply it for
$S>1/2$ spin-models with dipolar long-range interactions, a scenario arising in
recent experiments with magnetic atoms. We show that the method can capture
beyond mean-field effects, not only at short times, but it also correctly
reproduces long time quantum-thermalization dynamics. We benchmark the method
with exact diagonalization in small systems, with perturbation theory for short
times, and with analytical predictions made for closed system which feature
quantum-thermalization at long times. By computing the Renyi entropy, currently
an experimentally accessible quantifier of entanglement, we reveal that large
$S$ systems can feature larger entanglement than corresponding $S=1/2$ systems.
Our analyses demonstrate that the GDTWA can be a powerful tool for modeling
complex spin dynamics in regimes where other state-of-the art numerical methods
fail. | | Source: | arXiv, 1905.8782 | | Services: | Forum | Review | PDF | Favorites | |
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