Observation of Stark many-body localization without disorder

Morong, W.; Liu, F.; Becker, P.; Collins, K. S.; Feng, L.; Kyprianidis, A.; Pagano, G.; You, T.; Gorshkov, A. V.; Monroe, C.

doi:10.48550/arxiv.2102.07250

Cited by 15 publications

(22 citation statements)

References 57 publications

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“…This phenomenon was suggestively called Stark many-body localization (SMBL) [18], and was later predicted to be observed in fermion [21][22][23], spin [24] as well as in topological systems [25]. These theoretical predictions have been recently confirmed by experiential signatures of SMBL in trapped-ions quantum simulators [26]. More recently, SMBL has been investigated in a one-dimensional Heisenberg model with a uniform spatial along the chain [24].…”

Section: Introductionmentioning

confidence: 88%

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

Vernek

2021

Preprint

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Section: Introductionmentioning

confidence: 88%

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

Vernek

2021

Preprint

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“…The properties of the Stark MBL are similar to those of the disordered MBL. The stark MBL has been observed in trappedion systems [27]. The Hilbert space fragmentation occurs when some dynamical constraints are present.…”

Section: Introductionmentioning

confidence: 91%

Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential

Kunimi,

Danshita

2021

Preprint

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We investigate nonergodic behaviors of the one-dimensional Bose-Hubbard model, which emerge in the unitary quantum dynamics starting with the initial state |ψ(0the presence of a trapping potential. We compute the level spacing statistic, the time evolution of the number imbalance between the odd and even sites, and the entanglement entropy in order to show that the system exhibits nonergodicity in a strongly interacting regime. Furthermore, the nonergodic behaviors appear even when the trapping potential is weak compared to the hopping energy. We derive the effective spin-1/2 XXZ Hamiltonian for the strongly interacting regimes by using a perturbation method. On the basis of the effective Hamiltonian, we show that the strength of the trapping potential is effectively enhanced by the onsite interaction, leading to the nonergodic behaviors. We also calculate the real-time dynamics under the effective Hamiltonian and find that the logarithmic growth of the entanglement entropy in time.

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“…within the quasi-degenerate (exactly degenerate in the F → ∞ limit) manifold consisting of eigenstates with the same global dipole moment D = F lS z l [35,36,57]. This degeneracy is removed by the additional harmonic term in the potential.…”

Section: Small System Sizesmentioning

confidence: 99%

Many-body localization in tilted and harmonic potentials

Yao,

Chanda,

Zakrzewski

2021

Preprint

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Observation of Stark many-body localization without disorder

Cited by 15 publications

References 57 publications

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

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

Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential

Many-body localization in tilted and harmonic potentials

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