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Related papers: Characterizing the many-body localization transiti…

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We present an introductory review of nonergodic dynamics in interacting many-body quantum systems, focusing on the phenomenon of many-body localization (MBL). We describe aspects of MBL and summarize the evidence for a crossover from the…

Quantum Physics · Physics 2026-04-15 Jakub Zakrzewski

Many-body localization (MBL) appears to be a robust example of ergodicity breaking in many-body interacting systems. Here, we review different aspects of MBL, concentrating on various ways the disorder may be introduced into the system…

Disordered Systems and Neural Networks · Physics 2026-01-15 Konrad Pawlik , Maksym Prodius , Pedro R. Nicácio Falcão , Jakub Zakrzewski

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

Disordered Systems and Neural Networks · Physics 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

We address the critical properties of the many-body localization (MBL) phase transition in one-dimensional systems subject to spatially correlated disorder. We consider a general family of disorder models, parameterized by how strong the…

Disordered Systems and Neural Networks · Physics 2022-10-18 Zhengyan Darius Shi , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

An interacting quantum system can transition from an ergodic to a many-body localized (MBL) phase under the presence of sufficiently large disorder. Both phases are radically different in their dynamical properties, which are characterized…

Disordered Systems and Neural Networks · Physics 2020-05-29 Benjamin Villalonga , Bryan K. Clark

We introduce a multi-scale diagonalization scheme to study the transition between the many-body localized and the ergodic phase in disordered quantum chains. The scheme assumes a sharp dichotomy between subsystems that behave as localized…

Statistical Mechanics · Physics 2017-11-28 Thimothée Thiery , Markus Müller , Wojciech De Roeck

We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$…

Disordered Systems and Neural Networks · Physics 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating…

Disordered Systems and Neural Networks · Physics 2018-03-28 Soonwon Choi , Dmitry A. Abanin , Mikhail D. Lukin

Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in…

Disordered Systems and Neural Networks · Physics 2019-05-29 Dmitry A. Abanin , Ehud Altman , Immanuel Bloch , Maksym Serbyn

Many-body localization (MBL) behavior is analyzed {in an extended Bose-Hubbard model with quasiperiodic infinite-range interactions. No additional disorder is present. Examining level statistics and entanglement entropy of eigenstates we…

Disordered Systems and Neural Networks · Physics 2021-06-02 Piotr Kubala , Piotr Sierant , Giovanna Morigi , Jakub Zakrzewski

Many-body localization (MBL) transition emerges at strong disorder in interacting systems, separating chaotic and reversible dynamics. Although the existence of MBL transition within the macroscopic limit in spin chains with a short-range…

Disordered Systems and Neural Networks · Physics 2026-02-06 Illia Lukin , Andrii Sotnikov , Alexander L. Burin

Many body localization (MBL) is a phenomena that allows for the preservation of quantum information for long times. We study a variation of the disordered-Heisenberg model, which is known to exhibit an MBL phase [5][6], known as the…

Quantum Physics · Physics 2019-11-27 Nicholas Carrillo

The transition between ergodic phase and many-body localization (MBL) phase lies at the heart in understanding quantum thermalization of many-body systems. Here we predict a many-body critical phase in the one-dimensional extended…

Disordered Systems and Neural Networks · Physics 2021-02-26 Yucheng Wang , Chen Cheng , Xiong-jun Liu , Dapeng Yu

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…

Disordered Systems and Neural Networks · Physics 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

We numerically explore the many body localization (MBL) transition through the lens of the {\it entanglement spectrum}. While a direct transition from localization to thermalization is believed to obtain in the thermodynamic limit (the…

Disordered Systems and Neural Networks · Physics 2017-11-17 Scott D. Geraedts , Nicolas Regnault , Rahul M. Nandkishore

While many studies point towards the existence of many-body localization (MBL) in one dimension, the fate of higher-dimensional strongly disordered systems is a topic of current debate. The latest experiments as well as several recent…

Disordered Systems and Neural Networks · Physics 2024-05-13 Joey Li , Amos Chan , Thorsten B. Wahl

This article reviews recent progress in understanding the physics of many-body localisation (MBL) in disordered and interacting quantum many-body systems, from the perspective of ergodicity breaking on the associated Fock space. This…

Disordered Systems and Neural Networks · Physics 2024-12-09 Sthitadhi Roy , David E. Logan

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 space of one-dimensional disordered interacting quantum models displaying a Many-Body-Localization Transition seems sufficiently rich to produce critical points with level statistics interpolating continuously between the Poisson…

Disordered Systems and Neural Networks · Physics 2016-04-04 Cecile Monthus

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…

Disordered Systems and Neural Networks · Physics 2022-02-16 Kévin Hémery , Frank Pollmann , Adam Smith