Many-body localization due to random interactions

Sierant, Piotr; Delande, Dominique; Zakrzewski, Jakub

doi:10.1103/physreva.95.021601

Cited by 111 publications

(85 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In later works, a similar phenomenon was observed for fermions [17,18]. We shall consider the bosonic system in more detail here providing an understanding of the observed MBL via a perturbative model, extending and clarifying the results reported in [16]. Additional details will be presented elsewhere [19].…”

Section: Introductionsupporting

confidence: 72%

“…3 -see also [16]. While the inset shows the limiting cases of GOE and Poisson distributions, the intermediate statistics in the transition regime is intricate.…”

Section: Small System Sizes -Level Statistics Approachmentioning

confidence: 98%

“…Typical runs reach times tJ = 50 and the data are averaged over the tJ ∈ [30,50] interval. The reader is advised to consult [16,19] for details of the time dependence, as well as for the evidence that the entanglement entropy grows logarithmically in time, which is one of the smoking guns for MBL [3,21]. Here we concentrate on the dependence of the long time imbalance vs. disorder.…”

Section: Time-dependent Dynamics and The Persistence Of Nonergodic Chmentioning

confidence: 99%

See 2 more Smart Citations

Many-Body Localization for Randomly Interacting Bosons

2017

View full text Add to dashboard Cite

We study many-body localization in a one dimensional optical lattice filled with bosons. The interaction between bosons is assumed to be random, which can be realized for atoms close to a microchip exposed to a spatially fluctuating magnetic field. Close to a Feshbach resonance, such controlled fluctuations can be transfered to the interaction strength. We show that the system reveals an inverted mobility edge, with mobile particles at the lower edge of the spectrum. A statistical analysis of level spacings allows us to characterize the transition between localized and excited states. The existence of the mobility edge is confirmed in large systems, by time dependent numerical simulations using tDMRG. A simple analytical model predicts the long time behavior of the system.

show abstract

Section: Introductionsupporting

confidence: 72%

“…3 -see also [16]. While the inset shows the limiting cases of GOE and Poisson distributions, the intermediate statistics in the transition regime is intricate.…”

Section: Small System Sizes -Level Statistics Approachmentioning

confidence: 98%

Section: Time-dependent Dynamics and The Persistence Of Nonergodic Chmentioning

confidence: 99%

See 1 more Smart Citation

Many-Body Localization for Randomly Interacting Bosons

2017

View full text Add to dashboard Cite

show abstract

“…On the other hand, tDMRG [42][43][44][45] allows one to efficiently study systems with a moderate growth of the entanglement in time-a situation expected for localized and close to localized systems. In particular, it is well known that the entanglement entropy in the MBL phase for initially uncorrelated parts grows logarithmically in time [9,46], which allows us to study very large systems [18]. Here, we consider the time-evolution close to the MBL phase for 90 bosons distributed between L=60 sites (a typical size for cold atom experiments) to infer properties of the localized system as well as to get a glimpse of dynamics near the MBL transition-figure 3.…”

Section: The Imbalance Decaymentioning

confidence: 99%

Many-body localization of bosons in optical lattices

Sierant

Zakrzewski

2018

New J. Phys.

Self Cite

View full text Add to dashboard Cite

Many-body localization for a system of bosons trapped in a one-dimensional lattice is discussed. Two models that may be realized for cold atoms in optical lattices are considered. The model with a random on-site potential is compared with previously introduced random interactions model. While the origin and character of the disorder in both systems is different they show interesting similar properties. In particular, many-body localization appears for a sufficiently large disorder as verified by a time evolution of initial density wave states as well as using statistical properties of energy levels for small system sizes. Starting with different initial states, we observe that the localization properties are energy-dependent which reveals an inverted many-body localization edge in both systems (that finding is also verified by statistical analysis of energy spectrum). Moreover, we consider computationally challenging regime of transition between many body localized and extended phases where we observe a characteristic algebraic decay of density correlations which may be attributed to subdiffusion (and Griffiths-like regions) in the studied systems. Ergodicity breaking in the disordered Bose-Hubbard models is compared with the slowing-down of the time evolution of the clean system at large interactions.

show abstract

“…Ref. [46] presents a numerical study of a distinct model with a completely delocalized single particle spectrum. In Ref.…”

mentioning

confidence: 99%

Many-body localization in system with a completely delocalized single-particle spectrum

2016

View full text Add to dashboard Cite

Many-body localization (MBL) in a one-dimensional Fermi Hubbard model with random on-site interactions is studied. While for this model all single-particle states are trivially delocalized, it is shown that for sufficiently strong disordered interactions the model is many-body localized. It is therefore argued that MBL does not necessary rely on localization of the single-particle spectrum. This model provides a convenient platform to study pure MBL phenomenology, since Anderson localization in this model does not exist. By examining various forms of the interaction term a dramatic effect of symmetries on charge transport is demonstrated. A possible realization in a cold atom experiments is proposed. Introduction.-It has been known for almost 60 years that non-interacting particles in one-dimensional disordered systems exhibit Anderson localization [1]. Transport in these systems is exponentially suppressed with the system size, and without coupling to the environment, these systems are non-ergodic at any temperature. Anderson localized systems are, however, non-generic, since they do not include interactions which allow for the exchange of energy. For many years it was assumed that interactions generally restore ergodicity and destroy localization [2]. A decade ago, using non-equilibrium diagrammatic techniques, it was argued that Anderson localization is stable under the addition of a small shortranged interactions [3], a phenomenon currently known as many-body localization (MBL). Many-body localized systems are the only known generic non-ergodic systems which do not follow the assumptions of statistical mechanics [4][5][6]. While the realization of MBL systems presents challenges in condensed matter systems due to inevitable presence of phonons [7,8], recent experiments in cold atoms have provided evidence of the existence of MBL in both one-dimensional [9-11] and two-dimensional systems [12].

show abstract

Many-body localization due to random interactions

Cited by 111 publications

References 43 publications

Many-Body Localization for Randomly Interacting Bosons

Many-Body Localization for Randomly Interacting Bosons

Many-body localization of bosons in optical lattices

Many-body localization in system with a completely delocalized single-particle spectrum

Contact Info

Product

Resources

About