Dynamics of pattern-loaded fermions in bichromatic optical lattices

Reichl, Matthew D.; Mueller, Erich J.

doi:10.1103/physreva.93.031601

Cited by 10 publications

(7 citation statements)

References 39 publications

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“…This increase in lifetime might be due to the reduced phase space for scattering in the hard-core limit (U J). A recent theoretical study using a cluster expansion method on a smaller system (8 × 8 sites) observed a similar trend [41].…”

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confidence: 55%

Coupling Identical one-dimensional Many-Body Localized Systems

et al. 2016

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We experimentally study the effects of coupling one-dimensional many-body localized systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we artificially prepare an initial charge density wave in an array of 1D tubes with quasirandom on-site disorder and monitor the subsequent dynamics over several thousand tunneling times. We find a strikingly different behavior between many-body localization and Anderson localization. While the noninteracting Anderson case remains localized, in the interacting case any coupling between the tubes leads to a delocalization of the entire system.

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confidence: 55%

Coupling Identical one-dimensional Many-Body Localized Systems

et al. 2016

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“…Half a century later, Basko et al coined the phrase 'many-body localization' showing that this insulating behavior survives weak interactions at finite temperature [26]. Further experimental and theoretical studies confirmed these results, and showed they persist under very general conditions [6][7][8][27][28][29][30][31]. One expects that generically disorder can be used to prevent entropy flow, even in the presence of interactions.…”

Section: Introductionmentioning

confidence: 98%

Cooling quantum gases with entropy localization

Ünal

Mueller

2017

New J. Phys.

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We study the dynamics of entropy in a time dependent potential and explore how disorder influences this entropy flow. We show that disorder can trap entropy at the edge of the atomic cloud enabling a novel cooling method. We demonstrate the feasibility of our cooling technique by analyzing the evolution of entropy in a one-dimensional Fermi lattice gas with a time dependent superlattice potential.finite sweep rates, removing the superlattice potential generates some entropy. We find that sufficiently strong disorder prevents the entropy flow, effectively cooling the central region. We study the entropy dynamics for different sweep rates and compare the degree of entropy localization for different disorder strengths. We also analyze the entanglement entropy in the system to characterize the entropy generation. Finally, we comment on the effect of interactions and experimental considerations.

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“…Evidence of such critical points has been reported [33][34][35][36] in experiments with ultracold atoms in disordered lattices, implementing either the fermionic or the bosonic Anderson-Hubbard model in various dimensions. From the theoretical side, numerical studies of systems with a finite density of particles have mainly focused on one-dimensional models [37][38][39][40][41][42][43][44][45], due to the high computational effort. The existence of many-body mobility edges in systems with space dimension larger than one is currently debated [46].…”

Section: Introductionmentioning

confidence: 99%

Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states

Stellin

Orso

2020

Phys. Rev. Research

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Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem is the fate of the Anderson transition in the presence of additional Hubbard interactions of strength U between particles. Based on large-scale numerics, we compute the position of the mobility edge for a system of two identical bosons or two fermions with opposite spin components. The resulting phase diagram in the interaction-energy-disorder space possesses a remarkably rich and counterintuitive structure, with multiple metallic and insulating phases. We show that this phenomenon originates from the molecular or scatteringlike nature of the pair states available at given energy E and disorder strength W. The disorder-averaged density of states of the effective model for the pair is also investigated. Finally, we discuss the implications of our results for ongoing research on many-body localization.

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Dynamics of pattern-loaded fermions in bichromatic optical lattices

Cited by 10 publications

References 39 publications

Coupling Identical one-dimensional Many-Body Localized Systems

Coupling Identical one-dimensional Many-Body Localized Systems

Cooling quantum gases with entropy localization

Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states

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