Many-Body Localization for Randomly Interacting Bosons

Sierant, Piotr; Delande, Dominique; Zakrzewski, Jakub

doi:10.12693/aphyspola.132.1707

Cited by 28 publications

(24 citation statements)

References 36 publications

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“…Ref. [43] considered a two-site model with uncorrelated diagonal disorder while Ref. [42] arrives at the same conclusion yet there, the disorder is in the interactions.…”

Section: Introductionmentioning

confidence: 80%

“…This conclusion rules out the existence of an inverted mobility edge in our model, which may still exist in other disordered systems with superfluids present in the ground state, such as the Bose-Hubbard model. In fact, a series of very recent studies [42,43,84] indicates that there is an inverted mobility edge in the one-dimensional Bose-Hubbard model. This different behavior compared to our case of fermions with attractive interactions could be traced back to two observations.…”

Section: Resultsmentioning

confidence: 99%

“…In that experiment, evidence for a many-body localized regime at high energy densities was found, while (minding details of the specific disorder distribution realized in that experiment), theoretical studies predict a superfluid ground state [41], and thus an extended state, for the values of interaction strength and disorder for which the experiment reports localization. Theoretically, there is evidence for the existence of an inverted mobility edge in the one-dimensional Bose-Hubbard model [42,43]. Ref.…”

Section: Introductionmentioning

confidence: 99%

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Many-body localization of spinless fermions with attractive interactions in one dimension

et al. 2018

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We study the finite-energy density phase diagram of spinless fermions with attractive interactions in one dimension in the presence of uncorrelated diagonal disorder. Unlike the case of repulsive interactions, a delocalized Luttinger-liquid phase persists at weak disorder in the ground state, which is a well-known result. We revisit the ground-state phase diagram and show that the recently introduced occupation-spectrum discontinuity computed from the eigenspectrum of the one-particle density matrix is noticeably smaller in the Luttinger liquid compared to the localized regions. Moreover, we use the functional renormalization group scheme to study the finite-size dependence of the conductance, which also resolves the existence of the Luttinger liquid and is computationally cheap. Our main results concern the finite-energy density case. Using exact diagonalization and by computing various established measures of the many-body localization-delocalization transition, we argue that the zero-temperature Luttinger liquid smoothly evolves into a finite-energy density ergodic phase without any intermediate phase transition.

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“…Ref. [43] considered a two-site model with uncorrelated diagonal disorder while Ref. [42] arrives at the same conclusion yet there, the disorder is in the interactions.…”

Section: Introductionmentioning

confidence: 80%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Many-body localization of spinless fermions with attractive interactions in one dimension

et al. 2018

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“…Specific examples of such systems include interacting spinless fermions [12][13][14], spin-1/2 chains [15][16][17][18][19], and hard-core bosons [20] on one-dimensional lattices. In contrast, localization in bosonic systems received relatively little attention, with an exception of a few works [21][22][23][24]. The bosonic systems are more challenging for numerical studies [23], since the size of the local Hilbert space in a bosonic model with particle conservation is limited only by the total number of excitations in the system.…”

Section: Introductionmentioning

confidence: 99%

Probing the many-body localization phase transition with superconducting circuits

et al. 2019

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Chains of superconducting circuit devices provide a natural platform for studies of synthetic bosonic quantum matter. Motivated by the recent experimental progress in realizing disordered and interacting chains of superconducting transmon devices, we study the bosonic many-body localization phase transition using the methods of exact diagonalization as well as matrix product state dynamics. We estimate the location of transition separating the ergodic and the many-body localized phases as a function of the disorder strength and the many-body on-site interaction strength. The main difference between the bosonic model realized by superconducting circuits and similar fermionic model is that the effect of the on-site interaction is stronger due to the possibility of multiple excitations occupying the same site. The phase transition is found to be robust upon including longer-range hopping and interaction terms present in the experiments. Furthermore, we calculate experimentally relevant local observables and show that their temporal fluctuations can be used to distinguish between the dynamics of Anderson insulator, many-body localization, and delocalized phases. While we consider unitary dynamics, neglecting the effects of dissipation, decoherence and measurement back action, the timescales on which the dynamics is unitary are sufficient for observation of characteristic dynamics in the many-body localized phase. Moreover, the experimentally available disorder strength and interactions allow for tuning the many-body localization phase transition, thus making the arrays of superconducting circuit devices a promising platform for exploring localization physics and phase transition.

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“…All these findings are true for autonomous spin chains, but they have also been extended to driven spin chains [18,36,48,49], to autonomous systems with a finite-dimensional local Hilbert space (as clock models [50]) and to the static Bose-Hubbard chain with disorder, form a theoretical [51,52] and an experimental [32] point of view.…”

Section: Entanglement Entropymentioning

confidence: 91%

Many-body dynamical localization in the kicked Bose-Hubbard chain

2020

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We show that a clean kicked Bose-Hubbard model exhibits a dynamically many-body localized phase. This phase is characterized by ergodicity breaking persisting in the thermodynamic limit: the system does not heat up to infinite temperature, whatever the initial state, and the Floquet states violate eigenstate thermalization. Differently from many-body localization here the entanglement entropy linearly increases in time. This increase corresponds to space-delocalized Floquet states which are nevertheless localized across specific subsectors of the Hilbert space: In this way the system is prevented from randomly exploring all the Hilbert space and does not thermalize.

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Many-Body Localization for Randomly Interacting Bosons

Cited by 28 publications

References 36 publications

Many-body localization of spinless fermions with attractive interactions in one dimension

Many-body localization of spinless fermions with attractive interactions in one dimension

Probing the many-body localization phase transition with superconducting circuits

Many-body dynamical localization in the kicked Bose-Hubbard chain

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