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Investigating many-body localization (MBL) using exact numerical methods is limited by the exponentialgrowth of the Hilbert space. However, localized eigenstates display multifractality and only extend over a vanishing fraction of the…

Disordered Systems and Neural Networks · Physics 2022-01-13 Francesca Pietracaprina , Nicolas Laflorencie

Can localization persist when interaction grows infinitely stronger than randomness? If so, is it many-body Anderson localization? How about the associated localization transition in the infinite-interaction limit? To tackle these…

Disordered Systems and Neural Networks · Physics 2022-12-06 Chun Chen , Yan Chen , Xiaoqun Wang

Motivated by experimental progress in cold atomic systems, we use and advance Localisation Landscape Theory (LLT), to examine two-dimensional systems with point-like random scatterers. We begin by showing that exact eigenstates cannot be…

Quantum Gases · Physics 2021-11-23 Sophie S. Shamailov , Dylan J. Brown , Thomas A. Haase , Maarten D. Hoogerland

Ergodic quantum many-body systems satisfy the eigenstate thermalization hypothesis (ETH). However, strong disorder can destroy ergodicity through many-body localization (MBL) -- at least in one dimensional systems -- leading to a clear…

Disordered Systems and Neural Networks · Physics 2020-08-18 Luis Colmenarez , Paul A. McClarty , Masudul Haque , David J. Luitz

The many-body localization (MBL) proximity effect is an intriguing phenomenon where a thermal bath localizes due to the interaction with a disordered system. The interplay of thermal and non-ergodic behavior in these systems gives rise to a…

Disordered Systems and Neural Networks · Physics 2023-08-16 Pietro Brighi , Marko Ljubotina , Dmitry A. Abanin , Maksym Serbyn

Many-body localisation in interacting quantum systems can be cast as a disordered hopping problem on the underlying Fock-space graph. A crucial feature of the effective Fock-space disorder is that the Fock-space site energies are strongly…

Disordered Systems and Neural Networks · Physics 2020-12-29 Sthitadhi Roy , David E. Logan

Models of many-body localization (MBL) exhibit slow numerical drifts towards delocalization with increasing system size, for which no satisfactory theory exists. Numerics indicates that these drifts are driven by the proliferation of…

Disordered Systems and Neural Networks · Physics 2026-05-08 Carlo Vanoni , David M. Long , Anushya Chandran

We study many-body localization (MBL) in a nearest-neighbor hopping 1D lattice with a slowly varying (SV) on-site potential $U_j = \lambda\cos(\pi\alpha j^s)$ with $0<s<1$. The corresponding non-interacting 1D lattice model is known to have…

Disordered Systems and Neural Networks · Physics 2025-07-14 Zi-Jian Li , Yi-Ting Tu , Sankar Das Sarma

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 consider generalized Husimi distributions for many-body systems, and show that their moments are good measures of complexity of many-body quantum states. Our construction of the Husimi distribution is based on the coherent state of the…

Chaotic Dynamics · Physics 2009-11-07 Ayumu Sugita

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

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…

Statistical Mechanics · Physics 2020-08-05 Marco Tarzia

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…

Disordered Systems and Neural Networks · Physics 2014-11-19 F. Andraschko , T. Enss , J. Sirker

We investigate and compare the particle number fluctuations in the putative many-body localized (MBL) phase of a spinless fermion model with potential disorder and nearest-neighbor interactions with those in the non-interacting case…

Disordered Systems and Neural Networks · Physics 2022-01-26 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Michael Fleischhauer , Jesko Sirker

The phenomenon of Many-Body Stark Localization of bosons in tilted optical lattice is studied. Despite the fact that no disorder is necessary for Stark localization to occur, it is very similar to well known many body localization (MBL) in…

Quantum Gases · Physics 2020-10-01 Ruixiao Yao , Jakub Zakrzewski

The strong long-range interaction leads to localization in the closed quantum system without disorders. Employing the exact diagonalization method, the author numerically investigates thermalization and many-body localization in…

Disordered Systems and Neural Networks · Physics 2023-10-17 Chen Cheng

Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder, allowing quantum systems to prevent thermalization. In this study, we investigate the MBL properties of the fully…

Disordered Systems and Neural Networks · Physics 2024-02-20 Jiameng Hong , Taotao Hu

We address the fate of many-body localization (MBL) of mid-spectrum eigenstates of a matter-free $U(1)$ quantum-link gauge theory Hamiltonian with random couplings on ladder geometries. Apart from level spacing distribution indicators like…

Disordered Systems and Neural Networks · Physics 2026-01-27 Indrajit Sau , Debasish Banerjee , Arnab Sen

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 Localization Landscape Theory (LLT) provides a classical picture of Anderson localization by introducing an effective confining potential whose percolation is proposed to coincide with the mobility edge. Although this proposal shows…

Disordered Systems and Neural Networks · Physics 2025-12-04 Lorenzo Tonetti , Leticia F. Cugliandolo , Marco Tarzia