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The ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. Quantum many-body scarring has recently opened a window…

Many physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger than microscopic molecular collision scales and can be considered as in local thermal equilibrium. In…

High Energy Physics - Theory · Physics 2018-02-14 Ping Gao , Hong Liu

The eigenstate thermalization hypothesis describes how isolated many-body quantum systems reach thermal equilibrium. However, quantum many-body scars and Hilbert space fragmentation violate this hypothesis and cause nonthermal behavior. We…

Strongly Correlated Electrons · Physics 2024-08-06 Pieter H. Harkema , Michael Iversen , Anne E. B. Nielsen

A disordered material that cannot relax to equilibrium, such as an amorphous or glassy solid, responds to deformation in a way that depends on its past. In experiments we train a 2D athermal amorphous solid with oscillatory shear, and show…

Soft Condensed Matter · Physics 2020-01-28 Nathan C. Keim , Jacob Hass , Brian Kroger , Devin Wieker

We reveal a feature of quantum scarring in systems with many particles: Quantum scars, living densely near an unstable periodic orbit, must be compensated by corresponding antiscarred states suppressed there to establish the uniformity of…

Quantum Physics · Physics 2025-10-22 Zhongling Lu , Anton M. Graf , Eric J. Heller , Joonas Keski-Rahkonen , Ceren B. Dag

Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by…

Strongly Correlated Electrons · Physics 2016-06-21 Emanuele Levi , Markus Heyl , Igor Lesanovsky , Juan P. Garrahan

Novel cluster spin model with interactions and disorder is introduced and studied. In specific type of interactions, we find an extensive number of local integrals of motion (LIOMs), which are a modified version of the stabilizers in…

Disordered Systems and Neural Networks · Physics 2022-07-27 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

Unstable periodic orbits (UPOs) play a key role in the theory of chaos, constituting the "skeleton" of classical chaotic systems and "scarring" the eigenstates of the corresponding quantum system. Recently, nonthermal many-body eigenstates…

Quantum Gases · Physics 2024-11-26 Bertrand Evrard , Andrea Pizzi , Simeon I. Mistakidis , Ceren B. Dag

We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics. We cover topics such as equilibration and thermalisation in pure state…

Quantum Physics · Physics 2018-06-14 C. Gogolin , J. Eisert

Ergodicity breaking is observed in the blockade regime of Rydberg atoms arrays, in the form of low entanglement eigenstates known as scars, which fail to thermalize. The signature of these states persists in periodically driven systems,…

Quantum Physics · Physics 2022-10-12 Kevissen Sellapillay , Alberto Verga , Giuseppe Di Molfetta

We construct a complete set of local integrals of motion that characterize the many-body localized (MBL) phase. Our approach relies on the assumption that local perturbations act locally on the eigenstates in the MBL phase, which is…

Disordered Systems and Neural Networks · Physics 2013-09-19 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

A recent experiment on a 51-atom Rydberg blockaded chain observed anomalously long-lived temporal oscillations of local observables after quenching from an antiferromagnetic initial state. This coherence is surprising as the initial state…

Strongly Correlated Electrons · Physics 2019-04-11 Vedika Khemani , Chris R. Laumann , Anushya Chandran

Rydberg atom arrays are powerful platforms for studying quantum many-body systems. We consider the Rydberg-Ising Hamiltonian on periodic chains and numerically study ensembles of states generated by random global pulse sequences subject to…

Quantum Physics · Physics 2026-04-21 Edison S. Carrera , Grégoire Misguich

Understanding mechanisms for the breakdown of thermalization in closed quantum systems is a central problem in quantum many-body physics. We demonstrate strong non-ergodic behavior in the XX model on coupled chains, where domain-wall…

Quantum Physics · Physics 2026-04-20 Pavel Kos , Dominik S. Wild , Kristian Knakkergaard Nielsen

The eigenstate thermalization hypothesis (ETH) provides a powerful framework for understanding thermalization in isolated quantum many-body systems, yet a complete and conceptually transparent derivation has remained elusive. In this work,…

Statistical Mechanics · Physics 2025-12-23 Yucheng Wang

We study a mechanism whereby quantum information present in the initial state of a quantum many-body system can be protected for arbitrary times due to a combination of symmetry and spatial locality. Remarkably, the mechanism is…

Quantum Physics · Physics 2022-06-16 Julia Wildeboer , Thomas Iadecola , Dominic J. Williamson

Thermalization in isolated quantum systems is governed by the eigenstate thermalization hypothesis, while strong disorder can induce its breakdown via many-body localization. Here we show that disorder can also generate a narrow band of…

Strongly Correlated Electrons · Physics 2025-09-18 Yule Ma , Qianqian Chen , Mingyang Li , Zlatko Papić , Zheng Zhu

We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band systems. The key idea of our construction is to make use of…

Quantum Gases · Physics 2021-01-04 Yoshihito Kuno , Tomonari Mizoguchi , Yasuhiro Hatsugai

We study the impact of quenched disorder on the dynamics of locally constrained quantum spin chains, that describe 1D arrays of Rydberg atoms in both frozen (Ising-type) and dressed (XY-type) regime. Performing large-scale numerical…

Disordered Systems and Neural Networks · Physics 2021-09-22 Piotr Sierant , Eduardo Gonzalez Lazo , Marcello Dalmonte , Antonello Scardicchio , Jakub Zakrzewski

We discuss the properties of the dynamics of purely memristive circuits using a recently derived consistent equation for the internal memory variables of the involved memristors. In particular, we show that the number of independent memory…

Disordered Systems and Neural Networks · Physics 2017-07-11 Francesco Caravelli
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