Impact of geometry on many-body localization

Wiater, Dariusz; Zakrzewski, Jakub

doi:10.1103/physrevb.98.094202

Cited by 11 publications

(13 citation statements)

References 54 publications

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“…5), (5) have been widely investigated. In addition, the MBL transition in the spin-1/2 Heisenberg ladder is explored [58,59]. Other variations on ladder lattice are also studied.…”

Section: A Hamiltonianmentioning

confidence: 99%

Characterizing the many-body localization transition by the dynamics of diagonal entropy

Sun

Cui

Fan

2020

Phys. Rev. Research

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Based on the dynamics of diagonal entropy (DE), we provide a nonequilibrium method to study the properties of many-body localization (MBL) transition including the critical point and the universality class. By systematically studying the dynamical behaviors of DE in the fully explored Heisenberg spin chain with quasiperiodic field, we demonstrate the DE method can efficiently detect the transition point W c between the thermal and MBL phase. We further use the method to study the MBL transition in the isotropic X X-ladder model, showing W c ∼ 8.05. We also widely explore the X X-ladder model with various parameters. Our results indicate that the MBL transition in the Heisenberg model and the X X-ladder model belong to distinct universality classes according to the obvious difference between the scaling exponents. These results can be tested in ongoing quantum simulation experiments with larger qubit numbers, since the diagonal elements of the density matrix directly yielding the DE can be easily obtained by repeatedly running single-shot measurements.

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“…5), (5) have been widely investigated. In addition, the MBL transition in the spin-1/2 Heisenberg ladder is explored [58,59]. Other variations on ladder lattice are also studied.…”

Section: A Hamiltonianmentioning

confidence: 99%

Characterizing the many-body localization transition by the dynamics of diagonal entropy

Sun

Cui

Fan

2020

Phys. Rev. Research

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“…The fidelity susceptibility distribution has not been studied before for any physical system. It seems, there- (11). Small susceptibilities show significant size effects which can be accounted for by considering fidelity susceptibility distribution for GOE matrices of finite size (13).…”

Section: Fidelitymentioning

confidence: 99%

Energy level dynamics across the many-body localization transition

2019

Self Cite

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The level dynamics across the many body localization transition is examined for XXZ-spin model with a random magnetic field. We compare different scenaria of parameter dependent motion in the system and consider measures such as level velocities, curvatures as well as their fidelity susceptibilities. Studying the ergodic phase of the model we find that the level dynamics does not reveal the commonly believed universal behavior after rescaling the curvatures by the level velocity variance. At the same time, distributions of level curvatures and fidelity susceptibilities coincide with properly rescaled distributions for Gaussian Orthogonal Ensemble of random matrices. Profound differences exists depending on way the level dynamics is imposed in the many-body localized phase of the model in which the level dynamics can be understood with the help of local integrals of motion.arXiv:1904.05057v2 [cond-mat.dis-nn]

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“…[50] also rely on a method which is entanglement limited. Other exact diagonalization studies in 2D [51][52][53] are limited to small systems (lattices with, at most, 16 lattice sites) such that finite-size scaling is not possible. We also note a recent interesting investigation using exact numerics on a 2D model in the continuum compatible with MBL, albeit with a transition point shifting with the number of particles [54].…”

Section: Introductionmentioning

confidence: 99%

Transition to a many-body localized regime in a two-dimensional disordered quantum dimer model

Théveniaut

Lan

Meyer

et al. 2020

Phys. Rev. Research

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Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. Although the existence of a many-body localized phase is now well established in one-dimensional systems, its fate in higher dimensions is an open question. We present evidence for the occurrence of a transition to a many-body localized regime in a two-dimensional quantum dimer model with interactions and disorder. Our analysis is based on the results of large-scale simulations for static and dynamical properties of a consequent number of observables. Our results pave the way for a generic understanding of occurrence of a many-body localization transition in a dimension larger than one and highlight the unusual quantum dynamics that can be present in constrained systems.

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Impact of geometry on many-body localization

Cited by 11 publications

References 54 publications

Characterizing the many-body localization transition by the dynamics of diagonal entropy

Characterizing the many-body localization transition by the dynamics of diagonal entropy

Energy level dynamics across the many-body localization transition

Transition to a many-body localized regime in a two-dimensional disordered quantum dimer model

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