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Isolated quantum systems typically follow the eigenstate thermalization hypothesis, but there are exceptions, such as many-body localized (MBL) systems and quantum many-body scars. Here, we present the study of a weak violation of MBL due…

Disordered Systems and Neural Networks · Physics 2022-12-02 Michael Iversen , N. S. Srivatsa , Anne E. B. Nielsen

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

Using the non-interacting Anderson tight-binding model on the Bethe lattice as a toy model for the many-body quantum dynamics, we propose a novel and transparent theoretical explanation of the anomalously slow dynamics that emerges in the…

Disordered Systems and Neural Networks · Physics 2020-09-02 Giulio Biroli , Marco Tarzia

Many-body localization (MBL) is a result of the balance between interference-based Anderson localization and many-body interactions in an ultra-high dimensional Fock space. It is usually expected that dissipation is blurring interference…

Disordered Systems and Neural Networks · Physics 2018-07-25 I. Vakulchyk , I. Yusipov , M. Ivanchenko , S. Flach , S. Denisov

The many-body localization (MBL) phase transition is not a conventional thermodynamic phase transition. Thus to define the phase transition one should allow the possibility of taking the limit of an infinite system in a way that is not the…

Statistical Mechanics · Physics 2019-04-24 Sarang Gopalakrishnan , David A. Huse

Many-body localized (MBL) systems fail to reach thermal equilibrium under their own dynamics, even though they are interacting, nonintegrable, and in an extensively excited state. One instability towards thermalization of MBL systems is the…

Statistical Mechanics · Physics 2023-06-27 Hyunsoo Ha , Alan Morningstar , David A. Huse

Isolated quantum systems at strong disorder can display many-body localization (MBL), a remarkable phenomena characterized by an absence of conduction even at finite temperatures. As the ratio of interactions to disorder is increased, one…

Disordered Systems and Neural Networks · Physics 2014-05-08 Tarun Grover

Active matter, whose motion is driven, and glasses, whose dynamics are arrested, seem to lie at opposite ends of the spectrum in nonequilibrium systems. In spite of this, both classes of systems exhibit a multitude of stable states that are…

Statistical Mechanics · Physics 2014-06-10 K. R. Pilkiewicz , J. D. Eaves

We reveal a topological burning glass effect, where the local response of a system exhibits a topological quantization that is enhanced by an integer due to its environmental coupling. As a paradigmatic platform for this intriguing…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Simon Körber , Lorenzo Privitera , Jan Carl Budich , Björn Trauzettel

Many-body localization (MBL) is understood theoretically through the existence of an extensive number of local integrals of motion (LIOMs). These conserved quantities are related to the microscopic quantum degrees of freedom that are…

Disordered Systems and Neural Networks · Physics 2025-12-11 Ben Craps , Oleg Evnin , Dmitry Kovrizhin , Gabriele Pascuzzi

We analyse the relationship between dynamics and configuration space structure of Ising spin glass systems. The exact knowledge of the structure of the low--energy landscape is used to study the relaxation of the system by random walk in…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Kobe , J. Krawczyk

Ensembles of alkali or noble-gas atoms at room temperature and above are widely applied in quantum optics and metrology owing to their long-lived spins. Their collective spin states maintain nonclassical nonlocal correlations, despite the…

Quantum Physics · Physics 2020-08-04 Roy Shaham , Or Katz , Ofer Firstenberg

We study energy landscape and dynamics of the three-dimensional Heisenberg Spin Glass model in the paramagnetic phase, i.e. for temperature $T$ larger than the critical temperature $T_\mathrm{c}$. The landscape is non-trivially related to…

Disordered Systems and Neural Networks · Physics 2019-09-24 Marco Baity-Jesi , Victor Martin-Mayor

We study the Blume-Emery-Griffiths spin glass model in presence of an attractive coupling between real replicas, and evaluate the effective potential as a function of the density overlap. We find that there is a region, above the first…

Statistical Mechanics · Physics 2009-11-07 A. de Candia

As approaching the glass transition, particle motion in liquids becomes highly heterogeneous and regions with virtually no mobility coexist with liquid-like domains. This complex dynamics is believed to be responsible for different…

Soft Condensed Matter · Physics 2018-03-28 F. Puosi , N. Jakse , A. Pasturel

Eigenstate Thermalization Hypothesis(ETH) has played a pivotal role in understanding ergodicity and its breaking in isolated quantum many-body systems. Recent experiment on 51-atom Rydberg quantum simulator and subsequent theoretical…

Quantum Physics · Physics 2021-09-02 Bhaskar Mukherjee , Zi Cai , W. Vincent Liu

The law of statistical physics dictates that generic closed quantum many-body systems initialized in nonequilibrium will thermalize under their own dynamics. However, the emergence of many-body localization (MBL) owing to the interplay…

We consider the long-ranged Ising spin-glass with random couplings decaying as a power-law of the distance, in the region of parameters where the spin-glass phase exists with a positive droplet exponent. For the Metropolis single-spin-flip…

Disordered Systems and Neural Networks · Physics 2014-08-22 Cecile Monthus

The low-temperature phase of discontinuous mean-field spin glasses is generally described by a one-step replica symmetry breaking (1RSB) Ansatz. The Gardner transition, i.e. a very-low-temperature phase transition to a full replica symmetry…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Montanari , Federico Ricci-Tersenghi

Many-body localized phases may not only be characterized by their ergodicity breaking, but can also host ordered phases such as the many-body localized spin-glass (MBL-SG). The MBL-SG is challenging to access in a dynamical measurement and…

Strongly Correlated Electrons · Physics 2019-04-10 Younes Javanmard , Soumya Bera , Markus Heyl
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