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We study many-body localization properties of the disordered XXZ spin chain in the Ising phase. Disorder is introduced via a random magnetic field in the $z$-direction. We prove a strong form of dynamical exponential clustering for…

数学物理 · 物理学 2017-07-31 Alexander Elgart , Abel Klein , Günter Stolz

Lessons from Anderson localization highlight the importance of dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have focussed on the phenomenon in one dimension using techniques…

无序系统与神经网络 · 物理学 2020-02-11 Thorsten B. Wahl , Arijeet Pal , Steven H. Simon

We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is…

无序系统与神经网络 · 物理学 2013-09-19 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

Characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. In the quantum realm, the many-body localization (MBL) was proposed to be the paradigmatic ergodicity breaking…

强关联电子 · 物理学 2021-01-01 J. Šuntajs , J. Bonča , T. Prosen , L. Vidmar

Many-body localised phases of disordered, interacting quantum systems allow for exotic localisation protected quantum order in eigenstates at arbitrarily high energy densities. In this work, we analyse the manifestation of such order on the…

无序系统与神经网络 · 物理学 2023-07-14 Sthitadhi Roy

We propose to observe many-body localization in cold atomic gases by realizing a Bose-Hubbard chain with binary disorder and studying its non-equilibrium dynamics. In particular, we show that measuring the difference in occupation between…

无序系统与神经网络 · 物理学 2014-11-19 F. Andraschko , T. Enss , J. Sirker

Many-body localization (MBL) is understood theoretically through the existence of an extensive number of local integrals of motion (LIOMs). These conserved quantities are related to the microscopic quantum degrees of freedom that are…

无序系统与神经网络 · 物理学 2025-12-11 Ben Craps , Oleg Evnin , Dmitry Kovrizhin , Gabriele Pascuzzi

We study the real-time dynamics of a translationally invariant quantum spin chain, based on the East kinetically constrained glass model, in search for evidence of many-body localisation in the absence of disorder. Numerical simulations…

统计力学 · 物理学 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

Out of equilibrium phases of matter exhibiting order in individual eigenstates, such as many-body localised spin glasses and discrete time crystals, can be characterised by inherently dynamical quantities such as spatiotemporal correlation…

统计力学 · 物理学 2018-06-18 Sthitadhi Roy , Achilleas Lazarides , Markus Heyl , Roderich Moessner

We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one dimensional random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we…

无序系统与神经网络 · 物理学 2018-11-07 Daniel Hetterich , Norman Y. Yao , Maksym Serbyn , Frank Pollmann , Björn Trauzettel

In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact…

无序系统与神经网络 · 物理学 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

Determining the border between ergodic and localized behavior is of central interest for interacting many-body systems. We consider here the recently very popular spin-chain model that is periodically excited. A convenient description of…

统计力学 · 物理学 2021-09-01 Daniel Waltner , Petr Braun

The two primary categories for eigenstate phases of matter at finite temperature are many-body localization (MBL) and the eigenstate thermalization hypothesis (ETH). We show that in the paradigmatic quantum $p$-spin models of spin-glass…

无序系统与神经网络 · 物理学 2017-03-29 C. L. Baldwin , C. R. Laumann , A. Pal , A. Scardicchio

We study the many-body localization of spin chain systems with quasiperiodic fields. We identify the lower bound for the critical disorder necessary to drive the transition between the thermal and many-body localized phase to be $W_{cl}\sim…

无序系统与神经网络 · 物理学 2017-08-30 Mac Lee , Thomas R. Look , D. N. Sheng , S. P. Lim

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…

无序系统与神经网络 · 物理学 2018-04-24 Piotr Sierant , Jakub Zakrzewski

We are able to detect clear signatures of dephasing -- a distinct trait of Many-Body Localisation (MBL) -- via the dynamics of two-sites entanglement, quantified through the concurrence. Using the protocol implemented in [Science {\bf 349},…

Anderson insulators are non-interacting disordered systems which have localized single particle eigenstates. The interacting analogue of Anderson insulators are the Many-Body Localized (MBL) phases. The natural language for representing the…

强关联电子 · 物理学 2017-01-18 David Pekker , Bryan K. Clark

In this paper we propose a new perspective to analyze the many-body localization (MBL) transition when recast in terms of a single-particle tight-binding model in the space of many-body configurations. We compute the distribution of…

统计力学 · 物理学 2020-08-05 Marco Tarzia

We introduce techniques for analysing the structure of quantum states of many-body localized (MBL) spin chains by identifying correlation clusters from pairwise correlations. These techniques proceed by interpreting pairwise correlations in…

无序系统与神经网络 · 物理学 2022-02-16 Kévin Hémery , Frank Pollmann , Adam Smith

We study the eigenstate phases of disordered spin chains with on-site finite non-Abelian symmetry. We develop a general formalism based on standard group theory to construct local spin Hamiltonians invariant under any on-site symmetry. We…

无序系统与神经网络 · 物理学 2017-10-25 Abhishodh Prakash , Sriram Ganeshan , Lukasz Fidkowski , Tzu-Chieh Wei