期刊
NEW JOURNAL OF PHYSICS
卷 21, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/ab354d
关键词
quantum many-body dynamics; dipolar quantum gases; numerical methods; phase-space methods; quench dynamics; optical lattices
资金
- NSF
- AFOSR [FA9550-18-1-0319]
- MURI Initiative
- DARPA [W911NF-16-1-0576]
- ARO [W911NF-16-1-0576]
- DARPA DRINQs grant
- ARO single investigator award [W911NF-19-1-0210]
- NSF [PHY1820885]
- NSF JILA-PFC grants [PHY1734006]
- NIST
- French National Research Agency (ANR) through the Programme d'Investissement d'Avenir within the Investissement d'Avenir program [ANR-11-LABX-0058_NIE, ANR-10-IDEX-0002-02]
- IDEX project 'STEMQuS'
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 generalized discrete truncated Wigner approximation (GDTWA). It is based on a discrete semi-classical phase space sampling and allows to investigate quantum dynamics in lattice spin systems with arbitrary S >= 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 can correctly reproduce 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 models which feature quantum-thermalization at long times. We apply our method to study dynamics in large S > 1/2 spin-models and compute experimentally accessible observables such as Zeeman level populations, contrast of spin coherence, spin squeezing, and entanglement quantified by single-spin Renyi entropies. 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.
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