Many-Body Localization in Dipolar Systems

Yao, Norman Y.; Laumann, Chris R.; Gopalakrishnan, Sarang; Knap, Michael; Müller, Markus; Demler, Eugene; Lukin, Mikhail D.

doi:10.1103/physrevlett.113.243002

Cited by 263 publications

(288 citation statements)

References 52 publications

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“…In one dimensional quantum systems with shortrange interactions it is now clear that MBL is stable against such thermal inclusions at strong enough randomness [63]. The situation in higher dimensional systems, or one-dimensional systems with longer-range interactions [97,98], is not clear at present, as we shall see.…”

Section: Griffiths Effects In the Mbl Phasementioning

confidence: 85%

Rare‐region effects and dynamics near the many‐body localization transition

et al. 2017

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The low-frequency response of systems near the many-body localization phase transition, on either side of the transition, is dominated by contributions from rare regions that are locally "in the other phase", i.e., rare localized regions in a system that is typically thermal, or rare thermal regions in a system that is typically localized. Rare localized regions affect the properties of the thermal phase, especially in one dimension, by acting as bottlenecks for transport and the growth of entanglement, whereas rare thermal regions in the localized phase act as local "baths" and dominate the low-frequency response of the MBL phase. We review recent progress in understanding these rare-region effects, and discuss some of the open questions associated with them: in particular, whether and in what circumstances a single rare thermal region can destabilize the many-body localized phase.

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Section: Griffiths Effects In the Mbl Phasementioning

confidence: 85%

Rare‐region effects and dynamics near the many‐body localization transition

et al. 2017

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“…At a finite temperature and in the presence of a long-range interparticle (Ising) interaction U ij S z i S z j (or U ij n i n j for quasiparticles) decreasing with the distance as U ij ∝ R −β ij the inevitable delocalization is expected at β < 2d (see Refs. [11, 16,22] and the analysis of delocalization in Sec. IV C).…”

Section: Introductionmentioning

confidence: 99%

“…To address this fundamental question and fill the existing gap in the dimensional constraints obtained only in the case of dominating Ising interaction [11, 16,22] we investigate the effect of the long-range hopping interaction on the many-body localization in a random strongly disordered XY model for interacting spins 1/2. We show that the effective Ising interaction between spins still exists and it is generated in the third order of perturbation theory in the hopping interaction V ij .…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, in the regime of localization the system remembers its initial state infinitely long, while in chaotic state this information is quickly erased by irreversible dynamics. Recently it has been suggested to investigate many-body localization using cold atomic systems [12,[15][16][17], which can emulate various models for localization-delocalization transitions. Particularly the model considered in the present paper can be realized in diatomic alkali systems [16].…”

Section: Introductionmentioning

confidence: 99%

“…Many-body interaction often leads to the singleparticle localization breakdown because it opens new channels for energy or particle transport [2,10,11,16,[18][19][20][21][22] (see however Refs. [6,7,23] where the localizing effect of quasi-static interaction has been exploited).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Localization in a random XY model with long-range interactions: Intermediate case between single-particle and many-body problems

Burin

2015

Phys. Rev. B

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Many-body localization in an XY model with a long-range interaction is investigated. We show that in the regime of a high strength of disordering compared to the interaction an off-resonant flip-flop spin-spin interaction (hopping) generates the effective Ising interactions of spins in the third order of perturbation theory in a hopping. The combination of hopping and induced Ising interactions for the power law distance dependent hopping V (R) ∝ R −α always leads to the localization breakdown in a thermodynamic limit of an infinite system at α < 3d/2 where d is a system dimension. The delocalization takes place due to the induced Ising interactions U (R) ∝ R −2α of "extended" resonant pairs. This prediction is consistent with the numerical finite size scaling in one-dimensional systems. Many-body localization in XY model is more stable with respect to the long-range interaction compared to a many-body problem with similar Ising and Heisenberg interactions requiring α ≥ 2d which makes the practical implementations of this model more attractive for quantum information applications. The full summary of dimension constraints and localization threshold size dependencies for many-body localization in the case of combined Ising and hopping interactions is obtained using this and previous work and it is the subject for the future experimental verification using cold atomic systems.

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Many body localized systems weakly coupled to baths

Nandkishore

Gopalakrishnan

2016

Annalen der Physik

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We consider what happens when a many body localized system is coupled to a heat bath. Unlike previous works, we do not restrict ourselves to the limit where the bath is large and effectively Markovian, nor to the limit where back action on the bath is negligible. We identify limits where the effect of the bath can be captured by classical noise, and limits where it cannot. We also identify limits in which the bath delocalizes the system, as well as limits in which the system localizes the bath. Using general arguments and dimensional analysis, we constrain the overall phase diagram of the coupled system and bath. Our analysis incorporates all the previously discussed regimes, and also uncovers a new intrinsically quantum regime that has not hitherto been discussed. We discuss baths that are themselves near a localization transition, or are strongly disordered but protected against localization by symmetry or topology. We also discuss situations where the system and bath have different dimensionality (the case of 'boundary MBL' and 'boundary baths').

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Many-Body Localization in Dipolar Systems

Cited by 263 publications

References 52 publications

Rare‐region effects and dynamics near the many‐body localization transition

Rare‐region effects and dynamics near the many‐body localization transition

Localization in a random XY model with long-range interactions: Intermediate case between single-particle and many-body problems

Many body localized systems weakly coupled to baths

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