Quantum East Model: Localization, Nonthermal Eigenstates, and Slow Dynamics

Pancotti, Nicola; Giudice, Giacomo; Cirac, J. Ignacio; Garrahan, Juan P.; Bañuls, Mari Carmen

doi:10.1103/physrevx.10.021051

Cited by 97 publications

(81 citation statements)

References 90 publications

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“…Recent work highlighted the also unusual quantum dynamics exhibited by quantum constrained models either in theory [70][71][72][73][74] or in experiments [64] as well as for related lattice gauge theories [75][76][77][78][79][80][81][82]. On one hand, we would, thus, expect that constrained models are good natural candidates to exhibit localization due to their enhanced slow dynamics.…”

Section: B Searching For Mbl In 2d Constrained Modelsmentioning

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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Section: B Searching For Mbl In 2d Constrained Modelsmentioning

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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“…Conversely, there are nonintegrable systems with exactly known scar states, such as the Affleck-Kennedy-Lieb-Tasaki (AKLT) model [28][29][30], the spin-1 XY model [31,32], and a spin-1/2 domain-wall-conserving model [33,34], among others [35][36][37][38][39][40][41][42][43], including a framework to make target states as scars in nonintegrable models [35,36]; there is also a growing number of examples of scars in the Floquet setting [41,[44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

η -pairing states as true scars in an extended Hubbard model

2020

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The η-pairing states are a set of exactly known eigenstates of the Hubbard model on hypercubic lattices, first discovered by Yang [C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989)]. These states are not many-body scar states in the Hubbard model because they occupy unique symmetry sectors defined by the so-called η-pairing SU(2) symmetry. We study an extended Hubbard model with bond-charge interactions, popularized by Hirsch [J. E. Hirsch, Physica C 158, 326 (1989)], where the η-pairing states survive without the η-pairing symmetry and become true scar states. We also discuss similarities between the η-pairing states and exact scar towers in the spin-1 XY model found by Schecter and Iadecola [M. Schecter and T. Iadecola, Phys. Rev. Lett. 123, 147201 (2019)], and systematically arrive at all nearest-neighbor terms that preserve such scar towers in one dimension. We also generalize these terms to arbitrary bipartite lattices. Our study of the spin-1 XY model also leads us to several scarred models, including a spin-1/2 J 1 − J 2 model with Dzyaloshinskii-Moriya interaction, in realistic quantum magnet settings in one and two dimensions.

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“…Introduction.-Kinetically constrained quantum systems have become an important setting for the investigation of complex dynamical many-body phenomena, both from the theoretical and the experimental point of view. In particular, constrained spin systems have turned out to constitute useful models for the study of slow relaxation, ergodicity breaking and the emergence of glassy physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In terms of experimental platforms a significant role is currently being played by Rydberg gases, in which atoms are excited to high-lying and strongly interacting states.…”

mentioning

confidence: 99%

Emergent Bloch Oscillations in a Kinetically Constrained Rydberg Spin Lattice

2021

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We explore the relaxation dynamics of elementary spin clusters in a kinetically constrained spin system. Inspired by experiments with Rydberg lattice gases, we focus on the situation in which an excited spin leads to a "facilitated" excitation of a neighboring spin. We show that even weak interactions that extend beyond nearest neighbors can have a dramatic impact on the relaxation behavior: they generate a linear potential, which under certain conditions leads to the onset of Bloch oscillations of spin clusters. These hinder the expansion of a cluster and more generally the relaxation of many-body states towards equilibrium. This shows that non-ergodic behavior in kinetically constrained systems may occur as a consequence of the interplay between reduced connectivity of many-body states and weak interparticle interactions. We furthermore show that the emergent Bloch oscillations identified here can be detected in experiment through measurements of the Rydberg atom density, and discuss how spin-orbit coupling between internal and external degrees of freedom of spin clusters can be used to control their relaxation behavior.

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Quantum East Model: Localization, Nonthermal Eigenstates, and Slow Dynamics

Cited by 97 publications

References 90 publications

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

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

η -pairing states as true scars in an extended Hubbard model

Emergent Bloch Oscillations in a Kinetically Constrained Rydberg Spin Lattice

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