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The many-body localized (MBL) phase is characterized by a complete set of quasi-local integrals of motion and area-law entanglement of excited eigenstates. We study the effect of non-Abelian continuous symmetries on MBL, considering the…

Disordered Systems and Neural Networks · Physics 2017-07-26 Ivan V. Protopopov , Wen Wei Ho , Dmitry A. Abanin

We investigate the phenomenon of spatial many-body localization (MBL) through pairwise correlation measures based on one and two-point correlation functions. The system considered is the Heisenberg spin-1/2 chain with exchange interaction…

Disordered Systems and Neural Networks · Physics 2017-07-26 Jaime L. C. da C. Filho , Andreia Saguia , Lea F. Santos , Marcelo S. Sarandy

Symmetries play a central role in single-particle localization. Recent research focused on many-body localized (MBL) systems, characterized by new kind of integrability, and by the area-law entanglement of eigenstates. We investigate the…

Strongly Correlated Electrons · Physics 2020-02-12 I. V. Protopopov , R. K. Panda , T. Parolini , A. Scardicchio , E. Demler , D. A. Abanin

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

Disordered Systems and Neural Networks · Physics 2019-10-09 Sthitadhi Roy , David E. Logan

Finite-size effects have been a major and justifiable source of concern for studies of many-body localization, and several works have been dedicated to the subject. In this paper, however, we discuss yet another crucial problem that has…

Disordered Systems and Neural Networks · Physics 2021-08-04 Andrei Solórzano , Lea F. Santos , E. Jonathan Torres-Herrera

We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transition, using shift-invert exact diagonalization. We also…

Disordered Systems and Neural Networks · Physics 2018-11-07 Francesca Pietracaprina , Nicolas Macé , David J. Luitz , Fabien Alet

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

Disordered Systems and Neural Networks · Physics 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body localization transition. We use the time-dependent variational…

Disordered Systems and Neural Networks · Physics 2018-11-14 Elmer V. H. Doggen , Frank Schindler , Konstantin S. Tikhonov , Alexander D. Mirlin , Titus Neupert , Dmitry G. Polyakov , Igor V. Gornyi

Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have…

Disordered Systems and Neural Networks · Physics 2025-10-10 Wen Wang , Han-Ze Li , Jian-Xin Zhong

We discover a novel localization transition that alters the dynamics of coherence in disordered many-body spin systems subject to Markovian dissipation. The transition occurs in the middle spectrum of the Lindbladian super-operator whose…

Disordered Systems and Neural Networks · Physics 2022-06-08 Ryusuke Hamazaki , Masaya Nakagawa , Taiki Haga , Masahito Ueda

We present numerical results within the one-dimensional disordered Hubbard model for several characteristic indicators of the many-body localization (MBL). Considering traditionally studied charge disorder (i.e., the same disorder strength…

Strongly Correlated Electrons · Physics 2017-01-26 P. Prelovšek , O. S. Barišić , M. Žnidarič

We demonstrate that the quenched average genuine multipartite entanglement (GME) can approach its maximum value in the ergodic phase of a disordered quantum spin model. In contrast, GME vanishes in the many-body localized (MBL) phase, both…

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

The promotion of collinear classical spin configurations as well as the enhanced tendency towards nearest-neighbor clustering of the quantum spins are typical features of the frustrating isotropic three-body exchange interactions in…

Strongly Correlated Electrons · Physics 2016-05-16 N. B. Ivanov , S. I. Petrova , J. Schnack

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

Disordered Systems and Neural Networks · Physics 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann

Local entanglement between pairs of spins, as measured by concurrence, is investigated in a disordered spin model that displays a transition from an ergodic to a many-body localized phase in excited states. It is shown that the concurrence…

Strongly Correlated Electrons · Physics 2016-04-13 Soumya Bera , Arul Lakshminarayan

We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

Statistical Mechanics · Physics 2015-07-07 Yichen Huang

Many-body localization has become an important phenomenon for illuminating a potential rift between non-equilibrium quantum systems and statistical mechanics. However, the nature of the transition between ergodic and localized phases in…

Disordered Systems and Neural Networks · Physics 2018-06-04 Johnnie Gray , Sougato Bose , Abolfazl Bayat

Using exact diagonalization technique, we investigate the many-body localization phenomenon in the 1D Heisenberg chain comparing several disorder models. In particular we consider a family of discrete distributions of disorder strengths and…

Disordered Systems and Neural Networks · Physics 2018-04-25 Jakub Janarek , Dominique Delande , Jakub Zakrzewski

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all states and thus effectively working at infinite…

Disordered Systems and Neural Networks · Physics 2015-03-13 Arijeet Pal , David A. Huse