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We demonstrate the existence of exact atypical many-body eigenstates in a class of disordered, interacting one-dimensional quantum systems that includes the Fermi-Hubbard model as a special case. These atypical eigenstates, which…

Strongly Correlated Electrons · Physics 2019-07-18 Thomas Iadecola , Marko Znidaric

Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the existence of such…

Disordered Systems and Neural Networks · Physics 2022-11-30 Antonio Štrkalj , Elmer V. H. Doggen , Claudio Castelnovo

In this work, the interplay between non-Hermiticity, quasi-disorder, and repulsive interaction is studied for hard-core bosons confined in a one-dimensional optical lattice, where non-Hermiticity is induced by the non-reciprocal hoppings…

Disordered Systems and Neural Networks · Physics 2024-04-29 Shujie Cheng , Xixi Feng , Wen Chen , Niaz Ali Khan , Gao Xianlong

Motivated by the recent experiments that reported signatures of many-body localization of ultracold atoms in optical lattices [M. Schreiber {\it et al.}, Science {\bf 349}, 842 (2015)], we study dynamics of highly excited states in the…

Strongly Correlated Electrons · Physics 2019-03-13 Ivan Protopopov , Dmitry Abanin

Recently, the topics of many-body localization (MBL) and one-dimensional strongly interacting few-body systems have received a lot of interest. These two topics have been largely developed separately. However, the generality of the latter…

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 study experimentally the far-from-equilibrium dynamics in ferromagnetic Heisenberg quantum magnets realized with ultracold atoms in an optical lattice. After controlled imprinting of a spin spiral pattern with adjustable wave vector, we…

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

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…

We study the potential influence of the particle multi-occupations on the stability of many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no…

Disordered Systems and Neural Networks · Physics 2025-10-30 Jie Chen , Chun Chen , Xiaoqun Wang

We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a…

Mathematical Physics · Physics 2025-01-08 Alexander Elgart , Abel Klein

The interplay of disorder and strong correlations in quantum many-body systems remains an open question. That is despite much progress made in recent years with ultracold atoms in optical lattices to better understand phenomena such as…

Strongly Correlated Electrons · Physics 2021-10-19 Jacob Park , Ehsan Khatami

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

Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically localized or delocalized dynamics based on numerical results…

Statistical Mechanics · Physics 2022-06-28 Jonas Richter , Arijeet Pal

Finite lattice models are a prototype for strongly correlated quantum systems and capture essential properties of condensed matter systems. With the dramatic progress in ultracold atoms in optical lattices, finite fermionic Hubbard systems…

Strongly Correlated Electrons · Physics 2014-09-10 Denis Lacroix , S. Hermanns , C. M. Hinz , M. Bonitz

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…

Statistical Mechanics · Physics 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

The two-dimensional two-orbital Hubbard model is studied with the use of finite-size cluster worldline quantum Monte Carlo algorithm. This model is widely used for simulation of the band structure of FeAs clusters, which are structure…

Strongly Correlated Electrons · Physics 2016-12-28 Vladimir A. Kashurnikov , Andrey V. Krasavin , Yaroslav V. Zhumagulov

Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real…

Quantum degenerate gases trapped in optical lattices are ideal testbeds for fundamental physics because these systems are tunable, well characterized, and isolated from the environment. Controlled disorder can be introduced to explore…

Quantum Gases · Physics 2015-12-09 V. W. Scarola , B. DeMarco

Non-Hermitian many-body localization (NH MBL) has emerged as a possible scenario for stable localization in open systems, as suggested by spectral indicators identifying a putative transition for finite system sizes. In this work, we shift…

Disordered Systems and Neural Networks · Physics 2025-10-20 Pietro Brighi , Marko Ljubotina , Federico Roccati , Federico Balducci