Robustness of Stark many-body localization in the $J_1$-$J_2$ Heisenberg model

Vernek, E.

doi:10.48550/arxiv.2110.08351

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2022

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(2 citation statements)

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“…Note, that the influence of long-range hopping was studied in Ref. [27] for the 1 -2 spin chain in external linear field. Our results agree well with the observations of that study.…”

Section: A Spectral Characteristicsmentioning

confidence: 99%

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Many-body localization in a quantum gas with long-range interactions and linear external potential

Lukin,

Slyusarenko,

Sotnikov

2022

Preprint

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We study theoretically transitions between the localized and chaotic many-body regimes in one-dimensional quantum lattice systems with long-range couplings between particles and linear external potential. In terms of established criteria characterizing localization, we construct effective phase diagrams for several types of lattice systems with variable amplitude of the external linear tilt and interaction strength. By means of exact diagonalization and time-dependent variational principle numerical approaches we analyze system dynamics after quenches. Our results reveal that the Stark localization without any artificial source of disorder remains stable upon inclusion of long-range interactions.

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“…Note, that the influence of long-range hopping was studied in Ref. [27] for the 1 -2 spin chain in external linear field. Our results agree well with the observations of that study.…”

Section: A Spectral Characteristicsmentioning

confidence: 99%

“…It should be noted that aspects of Stark localization in similar context attracted much interest recently. In particular, there are studies of the tilted Heisenberg spin chain with the nextnearest couplings [27], tilted lattice systems with long-range hopping [28] and with cavity-mediated interactions [29].…”

Section: Introductionmentioning

confidence: 99%