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Unraveling the mechanisms of ergodicity breaking in complex quantum systems is a central pursuit in nonequilibrium physics. In this work, we investigate a one-dimensional spin model featuring a tunable long-range hopping term, $H_{n}$,…

Quantum Physics · Physics 2025-12-17 Y. S. Liu , X. Z. Zhang

We analyze the density and size dependence of the relaxation time for kinetically constrained spin models (KCSM) intensively studied in the physical literature as simple models sharing some of the features of a glass transition. KCSM are…

Probability · Mathematics 2007-05-23 Nicoletta Cancrini , Fabio Martinelli , Cyril Roberto , Cristina Toninelli

Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a…

Disordered Systems and Neural Networks · Physics 2021-01-14 Louk Rademaker , Dmitry A. Abanin

Generic quantum many-body systems are expected to thermalize, scrambling initial coherence while local observables relax to equilibrium values. Weak ergodicity breaking, often associated with quantum many-body scarring of homogeneous…

Quantum Physics · Physics 2026-05-25 Aron Kerschbaumer , Jean-Yves Desaules , Maksym Serbyn

We study the stroboscopic dynamics of a periodically driven finite Rydberg chain with staggered ($\Delta$) and time-dependent uniform ($\lambda(t)$) detuning terms using exact diagonalization (ED). We show that at intermediate drive…

Strongly Correlated Electrons · Physics 2022-09-07 Bhaskar Mukherjee , Arnab Sen , K. Sengupta

Rydberg atoms in optical tweezer arrays provide a playground for nonequilibrium quantum many-body physics. The PXP model describes the dynamics of such systems in the strongly interacting Rydberg blockade regime and notably exhibits weakly…

Quantum Gases · Physics 2021-06-11 I-Chi Chen , Thomas Iadecola

The thermalization of isolated quantum many-body systems is deeply related to fundamental questions of quantum information theory. While integrable or many-body localized systems display non-ergodic behavior due to extensively many…

The validity of the ergodic hypothesis in quantum systems can be rephrased in the form of the eigenstate thermalisation hypothesis (ETH), a set of statistical properties for the matrix elements of local observables in energy eigenstates,…

Statistical Mechanics · Physics 2024-10-16 Miha Srdinšek , Tomaž Prosen , Spyros Sotiriadis

Recent realization of a kinetically-constrained chain of Rydberg atoms by Bernien et al. [Nature 551, 579 (2017)] resulted in the observation of unusual revivals in the many-body quantum dynamics. In our previous work [arXiv:1711.03528]…

Quantum Gases · Physics 2018-10-31 C. J. Turner , A. A. Michailidis , D. A. Abanin , M. Serbyn , Z. Papić

We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays \textit{strong} eigenstate thermalization hypothesis (ETH) in the quantum regime. The analysis…

Statistical Mechanics · Physics 2026-05-26 Avadhut V. Purohit , Harshit Sharma , Udaysinh T. Bhosale

Kinetically constrained spin chains serve as a prototype for structured ergodicity breaking in isolated quantum systems. We show that such a system exhibits a hierarchy of degenerate steady states when driven by incoherent pump and loss at…

Statistical Mechanics · Physics 2025-04-02 Apoorv Srivastava , Shovan Dutta

The discovery of Quantum Many-Body Scars (QMBS) both in Rydberg atom simulators and in the Affleck-Kennedy-Lieb-Tasaki (AKLT) spin-1 chain model, have shown that a weak violation of ergodicity can still lead to rich experimental and…

Strongly Correlated Electrons · Physics 2022-07-13 Sanjay Moudgalya , B. Andrei Bernevig , Nicolas Regnault

We present a set of generalized quantum loop models which provably exhibit topologically stable ergodicity breaking. These results hold for both periodic and open boundary conditions, and derive from a one-form symmetry (notably not being…

Statistical Mechanics · Physics 2024-03-12 Charles Stahl , Rahul Nandkishore , Oliver Hart

We study ergodicity breaking in the clean Bose-Hubbard chain for small hopping strength. We see the existence of a non-ergodic regime by means of indicators as the half-chain entanglement entropy of the eigenstates, the average level…

Quantum Gases · Physics 2021-03-04 Angelo Russomanno , Michele Fava , Rosario Fazio

Ergodicity sits at the heart of the connection between statistical mechanics and dynamics of a physical system. By fixing the initial state of the system into the ground state of the Hamiltonian at zero temperature and tuning a control…

Quantum Physics · Physics 2020-04-15 H. Cheraghi , S. Mahdavifar

Strongly interacting quantum many-body systems are expected to thermalize, however, some evade thermalization due to symmetries. Quantum synchronization provides one such example of ergodicity breaking, but previous studies have focused on…

Disordered Systems and Neural Networks · Physics 2026-02-13 Nicolas Loizeau , Berislav Buča

The concept of "deep thermalization" has recently been introduced to characterize moments of an ensemble of pure states, resulting from projective measurements on a subsystem, which lie beyond the purview of conventional Eigenstate…

Quantum Physics · Physics 2023-09-28 Tanmay Bhore , Jean-Yves Desaules , Zlatko Papić

We study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. Using exact diagonalization we introduce a cost function approach to quantitatively compare different scenarios for the…

Disordered Systems and Neural Networks · Physics 2020-08-19 Jan Šuntajs , Janez Bonča , Tomaž Prosen , Lev Vidmar

Quantum many-body scars have attracted much interest as a violation of the eigenstate thermalization hypothesis (ETH) due to recent experimental observation in Rydberg atoms and related theoretical studies. In this paper, we construct a…

Statistical Mechanics · Physics 2020-08-26 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

In the ongoing discussion on thermalization in closed quantum many-body systems, the eigenstate thermalization hypothesis (ETH) has recently been proposed as a universal concept which attracted considerable attention. So far this concept…

Statistical Mechanics · Physics 2014-04-04 Robin Steinigeweg , Abdelah Khodja , Hendrik Niemeyer , Christian Gogolin , Jochen Gemmer