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We investigate the interplay between strong disorder and repulsive interactions in the one-dimensional Fermi-Hubbard model under open boundary conditions. While uncorrelated disorder is widely accepted to localize all single-particle…

Strongly Correlated Electrons · Physics 2025-12-12 Ali Tozar

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

We uncover the exact athermal eigenstates in the Bose-Hubbard (BH) model with a three-body constraint, motivated by the exact construction of quantum many-body scar (QMBS) states in the $S=1$ $XY$ model. These states are generated by…

Quantum Gases · Physics 2024-01-19 Ryui Kaneko , Masaya Kunimi , Ippei Danshita

The eigenstate thermalization hypothesis describes how most isolated many-body quantum systems reach thermal equilibrium. However, the hypothesis is violated by phenomena such as many-body localization and quantum many-body scars. In this…

Disordered Systems and Neural Networks · Physics 2024-02-09 Michael Iversen , Jens H. Bardarson , Anne E. B. Nielsen

Quantum many-body scars provide a controlled form of weak ergodicity breaking, in which structured nonthermal eigenstates coexist with a thermalizing many-body spectrum. We introduce a qubit-level route to exact scars based on the intrinsic…

Quantum Physics · Physics 2026-05-19 Han-Ze Li , Jian-Xin Zhong

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

Quantum many-body scars (QMBS) appear in a flat-band model with interactions on the saw-tooth lattice. The flat-band model includes a compact support localized eigenstates, called compact localized state (CLS). Some characteristic many-body…

Statistical Mechanics · Physics 2021-08-25 Yoshihito Kuno , Tomonari Mizoguchi , Yasuhiro Hatsugai

Quantum many-body scars are atypical nonthermal states embedded in the chaotic spectrum that evade conventional ergodicity. We show that asymptotically AdS mini-boson stars provide a holographic realization of scar-like states. Their…

High Energy Physics - Theory · Physics 2026-05-05 Yan Liu , Ya-Wen Sun , Yuan-Tai Wang

Disorder can prevent many-body quantum systems from reaching thermal equilibrium, leading to a many-body localized phase. Recent works suggest that nonperturbative effects caused by rare regions of low disorder may destabilize the localized…

Disordered Systems and Neural Networks · Physics 2025-11-12 Viktor Berger , Andrea Nava , Jens H. Bardarson , Claudia Artiaco

The presence of frozen uncorrelated random on-site potential in interacting quantum systems can induce a transition from an ergodic phase to a localized one, the so-called many-body localization. Here we numerically study the effects of…

Disordered Systems and Neural Networks · Physics 2023-01-05 Isaías Vallejo-Fabila , E. Jonathan Torres-Herrera

We construct asymptotic quantum many-body scars (AQMBS) in one-dimensional SU($N$) Hubbard chains ($N\geq 3$) by embedding the scar subspace into an auxiliary Hilbert subspace $\mathcal{H}_P$ and identifying a parent Hamiltonian within it,…

Statistical Mechanics · Physics 2026-04-22 Daiki Hashimoto , Masaya Kunimi , Tetsuro Nikuni

The most recent manifestation of cold Rydberg atom quantum simulators that employs tailored optical tweezer arrays enables the study of many-body dynamics under so-called facilitation conditions. We show how the facilitation mechanism…

Quantum Physics · Physics 2018-02-05 Maike Ostmann , Matteo Marcuzzi , Jiri Minar , Igor Lesanovsky

Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in which rare "scarred" eigenstates mediate weak ergodicity breaking. One open question is to understand the most general setting in which these states arise. In this…

Strongly Correlated Electrons · Physics 2022-02-09 Christopher M. Langlett , Zhi-Cheng Yang , Julia Wildeboer , Alexey V. Gorshkov , Thomas Iadecola , Shenglong Xu

We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on a regime of large system sizes and a long time evolution. This regime is relevant for observation of many-body localization (MBL), a phenomenon that is expected…

Disordered Systems and Neural Networks · Physics 2022-08-02 Piotr Sierant , Jakub Zakrzewski

The presence of quantum scars, athermal eigenstates of a many-body Hamiltonian with finite energy density, leads to absence of ergodicity and long-time coherent dynamics in closed quantum systems starting from simple initial states. Such…

Quantum Physics · Physics 2020-06-02 Bhaskar Mukherjee , Sourav Nandy , Arnab Sen , Diptiman Sen , K. Sengupta

Partial solvability plays an important role in the context of statistical mechanics, since it has turned out to be closely related to the emergence of quantum many-body scar states, i.e., exceptional energy eigenstates which do not obey the…

Statistical Mechanics · Physics 2025-01-09 Chihiro Matsui , Naoto Tsuji

The existence of Quantum Many-Body Scars, which prevents thermalization from certain initial states after a long time, has been established across different quantum many-body systems. These include gauge theories corresponding to spin-1/2…

High Energy Physics - Lattice · Physics 2024-09-04 Thea Budde , Marina Krstić Marinković , Joao C. Pinto Barros

We investigate a one-dimensional correlated-hopping model of spinless fermions with an East constraint. We first analytically unravel the complete fragmentation structure of this model by labeling each fragment by a unique root…

Statistical Mechanics · Physics 2025-01-13 Maitri Ganguli , Sreemayee Aditya , Diptiman Sen

We study a model of Rydberg atoms in a nearest-neighbor Rydberg blockaded regime, introduced by Lesanovsky in Phys. Rev. Lett. 108, 105301 (2012). This many-body model (which has one parameter $z$) has an exactly known gapped liquid ground…

Quantum Gases · Physics 2020-05-21 Daniel K. Mark , Cheng-Ju Lin , Olexei I. Motrunich

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