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Recent work has shown that two seemingly different physical mechanisms, namely fracton behavior and confinement, can give rise to non-ergodicity in one-dimensional quantum many-body systems. In this work, we demonstrate an intrinsic link…

Strongly Correlated Electrons · Physics 2020-02-05 Shriya Pai , Michael Pretko

We introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter. Fracton phases are characterized by elementary excitations (fractons) with restricted mobility. The hydrodynamic…

Strongly Correlated Electrons · Physics 2020-07-29 Andrey Gromov , Andrew Lucas , Rahul M. Nandkishore

We review an scenario for the non-equilibrium dynamics of glassy systems that has been motivated by the exact solution of simple models. This approach allows one to set on firmer grounds well-known phenomenological theories. The old ideas…

Statistical Mechanics · Physics 2009-11-07 Leticia F. Cugliandolo

A model glass is considered with one type of fast ($\beta$-type) of processes, and one type of slow processes ($\alpha$-type). On time-scales where the fast ones are in equilibrium, the slow ones have a dynamics that resembles the one of…

Statistical Mechanics · Physics 2009-11-07 Luca Leuzzi , Theo M. Nieuwenhuizen

Dipole-conserving fluids serve as examples of kinematically constrained systems that can be understood on the basis of symmetry. They are known to display various exotic features including glassylike dynamics, subdiffusive transport, and…

Strongly Correlated Electrons · Physics 2023-04-18 Aleksander Głódkowski , Francisco Peña-Benítez , Piotr Surówka

We show the existence of intermittent dynamics in one of the simplest model of a glassy system: the two-state model, which has been used to explain the origin of the violation of the fluctuation-dissipation theorem. The dynamics is analyzed…

Statistical Mechanics · Physics 2009-11-10 M. Naspreda , D. Reguera , A. Perez-Madrid , J. M. Rubi

We study the dynamics of a glassy model with infinite range interactions externally driven by an oscillatory force. We find a well-defined transition in the (Temperature-Amplitude-Frequency) phase diagram between (i) a `glassy' state…

Statistical Mechanics · Physics 2009-10-31 Ludovic Berthier , Leticia F. Cugliandolo , Jose Luis Iguain

In this talk I review some recent developments which shed light on the main connections between structural glasses and mean-field spin glass models with a discontinuous transition. I also discuss the role of quantum fluctuations on the…

Disordered Systems and Neural Networks · Physics 2009-10-28 Felix Ritort

The relaxation dynamics of glass-forming systems shows a multitude of features that are absent in normal liquids, such as non-exponential relaxation and a strong temperature-dependence of the relaxation time. Connecting these dynamic…

Disordered Systems and Neural Networks · Physics 2019-04-03 Zhen Wei Wu , Walter Kob , Wei-Hua Wang , Limei Xu

In this paper we expand our previous investigation of a quantum particle subject to the action of a random potential plus a fixed harmonic potential at a finite temperature T. In the classical limit the system reduces to a well-known…

Condensed Matter · Physics 2009-10-28 Yadin Y. Goldschmidt

We construct a model of short-range interacting Ising spins on a translationally invariant two-dimensional lattice that mimics a reversible circuit that multiplies or factorizes integers, depending on the choice of boundary conditions. We…

Statistical Mechanics · Physics 2019-10-09 Lei Zhang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

We study models of itinerant spinless fermions with random long-range interactions. We motivate such models from descriptions of fermionic atoms in multi-mode optical cavities. The solution of an infinite-range model yields a metallic phase…

Quantum Gases · Physics 2012-08-03 Markus Mueller , Philipp Strack , Subir Sachdev

Recent numerical simulations of a disordered system (Preprint arXiv:condmat/0307554) have shown the existence of two different relaxational processes (called stimulated and spontaneous) characterizing the relaxation observed in structural…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Ritort

The short- and long-time dynamics of model systems undergoing a glass transition with apparent inversion of Kauzmann and dynamical arrest glass transition lines is investigated. These models belong to the class of the spherical mean-field…

Disordered Systems and Neural Networks · Physics 2016-01-06 Corrado Rainone , Ulisse Ferrari , Matteo Paoluzzi , Luca Leuzzi

We introduce a class of dissipative quantum spin models with local interactions and without quenched disorder that show glassy behaviour. These models are the quantum analogs of the classical facilitated spin models. Just like their…

Statistical Mechanics · Physics 2012-07-31 Beatriz Olmos , Igor Lesanovsky , Juan P. Garrahan

We analyze fluctuation-dissipation relations in the Backgammon model: a system that displays glassy behavior at zero temperature due to the existence of entropy barriers. We study local and global fluctuation relations for the different…

Statistical Mechanics · Physics 2015-05-13 A. Garriga , I. Pagonabarraga , F. Ritort

We study the glass and jamming transition of finite-dimensional models of simple liquids: hard- spheres, harmonic spheres and more generally bounded pair potentials that modelize frictionless spheres in interaction. At finite temperature,…

Disordered Systems and Neural Networks · Physics 2013-07-16 Hugo Jacquin

We numerically study the zero-temperature relaxation dynamics of several glass-forming models to their inherent structures, following quenches from equilibrium configurations sampled across a wide range of initial temperatures. In a…

Statistical Mechanics · Physics 2022-04-07 Yoshihiko Nishikawa , Misaki Ozawa , Atsushi Ikeda , Pinaki Chaudhuri , Ludovic Berthier

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima
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