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Related papers: Many-Body Localization Landscape

200 papers

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…

Disordered Systems and Neural Networks · Physics 2025-12-11 Ben Craps , Oleg Evnin , Dmitry Kovrizhin , Gabriele Pascuzzi

The phenomenon of many-body localised (MBL) systems has attracted significant interest in recent years, for its intriguing implications from a perspective of both condensed-matter and statistical physics: they are insulators even at…

Quantum Gases · Physics 2019-07-08 M. Goihl , M. Friesdorf , A. H. Werner , W. Brown , J. Eisert

Hilbert space fragmentation, as it is currently investigated, primarily originates from specific kinematic constraints or emergent conservation laws in many-body systems with translation invariance. It leads to non-ergodic dynamics and…

Disordered Systems and Neural Networks · Physics 2025-10-23 Ishita Modak , Rajesh Narayanan , Ferdinand Evers , Soumya Bera

We review recent results on many-body localization for two explicitly analyzable models of many-body quantum systems, the XY spin chain in transversal magnetic field as well as interacting systems of harmonic quantum oscillators. In both…

Mathematical Physics · Physics 2018-01-03 Robert Sims , Gunter Stolz

We study the many-body localization (MBL) transition in a generalized Aubry-Andre model (also known as the GPD model) introduced in Phys. Rev. Lett. 114, 146601 (2015). In contrast to MBL in other disordered or quasiperiodic models, the…

Disordered Systems and Neural Networks · Physics 2024-06-14 Ke Huang , DinhDuy Vu , Sankar Das Sarma , Xiao Li

We demonstrate many-body localization (MBL) transition in a one-dimensional isotropic XY chain with a weak next-nearest-neighbor frustration in a random magnetic field. We perform finite-size exact diagonalization calculations of…

Disordered Systems and Neural Networks · Physics 2022-08-17 M. S. Bahovadinov , D. V. Kurlov , S. I. Matveenko , B. L. Altshuler , G. V. Shlyapnikov

We numerically investigate 1D Bose-Hubbard chains with onsite disorder by means of exact diagonalization. A primary focus of our work is on characterizing Fock-space localization in this model from the single-particle perspective. For this…

Strongly Correlated Electrons · Physics 2020-07-20 Miroslav Hopjan , Fabian Heidrich-Meisner

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

Disordered Systems and Neural Networks · Physics 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

We numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the…

Disordered Systems and Neural Networks · Physics 2017-03-29 Rajeev Singh , Roderich Moessner , Dibyendu Roy

Many-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional…

Disordered Systems and Neural Networks · Physics 2020-08-14 Guo-Qing Zhang , Dan-Wei Zhang , Zhi Li , Z. D. Wang , Shi-Liang Zhu

We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic system, namely generalized Aubry-Andr\'e-Harper model, which possesses a…

Disordered Systems and Neural Networks · Physics 2023-04-03 Nilanjan Roy , Jagannath Sutradhar , Sumilan Banerjee

We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is characterized by a mobility edge. We…

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced many-body localization (MBL). However, the sensitivity of the spatial boundary conditions and the interplay of the non-Hermitian skin effect with…

Disordered Systems and Neural Networks · Physics 2022-12-09 Kuldeep Suthar , Yi-Cheng Wang , Yi-Ping Huang , H. H. Jen , Jhih-Shih You

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

Robust boundary states have been the focus of much recent research, both as topologically protected states and as non-Hermitian skin states. In this work, we show that many-body effects can also induce analogs of these robust states in…

Strongly Correlated Electrons · Physics 2021-11-10 Ching Hua Lee

Many-body localization (MBL) has been proposed to enable and protect topological order in all eigenstates, vastly expanding the traditional ground-state setting. However, for the most intriguing case of two-dimensional (2D) systems with…

Disordered Systems and Neural Networks · Physics 2024-11-15 Florian Venn , Thorsten B. Wahl , Benjamin Béri

We introduce the spectrum bifurcation renormalization group (SBRG) as a generalization of the real-space renormalization group for the many-body localized (MBL) system without truncating the Hilbert space. Starting from a disordered…

Strongly Correlated Electrons · Physics 2016-04-06 Yi-Zhuang You , Xiao-Liang Qi , Cenke Xu

Many-body localization (MBL) is currently a hot issue of interacting systems, in which quantum mechanics overcomes thermalization of statistical mechanics. Like Anderson localization of non-interacting electrons, disorders are usually…

Strongly Correlated Electrons · Physics 2016-12-28 Rong-Qiang He , Zheng-Yu Weng

We study many-body localization (MBL) for interacting one-dimensional lattice fermions in random (Anderson) and quasiperiodic (Aubry-Andre) models, focusing on the role of interaction range. We obtain the MBL quantum phase diagrams by…

Disordered Systems and Neural Networks · Physics 2022-04-08 DinhDuy Vu , Ke Huang , Xiao Li , S. Das Sarma

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…