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We review the physics of many-body localization in models with incommensurate potentials. In particular, we consider one-dimensional quasiperiodic models with single-particle mobility edges. Although a conventional perspective suggests that…

Strongly Correlated Electrons · Physics 2017-08-02 Dong-Ling Deng , Sriram Ganeshan , Xiaopeng Li , Ranjan Modak , Subroto Mukerjee , J. H. Pixley

We present results from molecular dynamics simulations exploring the supercooled dynamics of the Gaussian Core Model in the low- and intermediate-density regimes. In particular, we discuss the transition from the low-density…

Soft Condensed Matter · Physics 2024-03-18 Vittoria Sposini , Christos N. Likos , Manuel Camargo

We numerically investigate 1D Bose-Hubbard chains with onsite disorder by means of exact diagonalization. A primary focus of our work is on characterizing Fock-space localization in this model from the single-particle perspective. For this…

Strongly Correlated Electrons · Physics 2020-07-20 Miroslav Hopjan , Fabian Heidrich-Meisner

Molecular anisotropy plays an important role in the glass transition of a liquid. Recently, a novel bulk glass state has been discovered by optical microscopy experiments on suspensions of ellipsoidal colloids. 'Liquid glass' is a…

Soft Condensed Matter · Physics 2024-05-16 Mohammed Alhissi , Andreas Zumbusch , Matthias Fuchs

We study theoretically a BEC loaded into an optical lattice in the tight-binding regime, with a second, weak incommensurate lattice acting as a perturbation. We find, using direct diagonalization of small systems and a large scale, number…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nir Bar-Gill , Rami Pugatch , Eitan Rowen , Nadav Katz , Nir Davidson

The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous…

Disordered Systems and Neural Networks · Physics 2015-05-28 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

We formulate a theory of the many-body localization transition based on a novel real space renormalization group (RG) approach. The results of this theory are corroborated and intuitively explained with a phenomenological effective…

Disordered Systems and Neural Networks · Physics 2015-09-21 Ronen Vosk , David A. Huse , Ehud Altman

The thermodynamic formalism expresses chaotic properties of dynamical systems in terms of the Ruelle pressure $\psi(\beta)$. The inverse-temperature like variable $\beta$ allows one to scan the structure of the probability distribution in…

chao-dyn · Physics 2017-09-20 C. Appert , H. van Beijeren , M. H. Ernst , J. R. Dorfman

We consider the overdamped dynamics of a paradigmatic long-range system of particles residing on the sites of a one-dimensional lattice, in the presence of thermal noise. The internal degree of freedom of each particle is a periodic…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , Alessandro Campa , Stefano Ruffo

We revisit the $t154$ variant of the Biroli-Mezard lattice glass, complementing previous studies by studying statics and dynamics under periodic boundary conditions as well as systems confined in cavities with amorphous boundaries. We…

Disordered Systems and Neural Networks · Physics 2016-11-22 Alejandro Seif , Tomas S. Grigera

Glasses are traditionally characterized by their rugged landscape of disordered low-energy states and their slow relaxation towards thermodynamic equilibrium. Far from equilibrium, dynamical forms of glassy behavior with anomalous algebraic…

Disordered Systems and Neural Networks · Physics 2026-04-17 Zachary G. Nicolaou , Hangjun Cho , Yuanzhao Zhang , J. Nathan Kutz , Steven L. Brunton

We introduce an approach to describe quantum-coherent evolution of a system of cold atoms in an optical lattice triggered by a change in superlattice potential. Using a time-dependent mean field description, we map the problem to a strong…

Strongly Correlated Electrons · Physics 2008-06-30 M. B. Hastings , L. S. Levitov

Lattice models are crucial for studying thermodynamic properties in many physical, biological and chemical systems. We investigate Lattice Restricted Primitive Model (LRPM) of electrolytes with different discretization parameters in order…

Statistical Mechanics · Physics 2009-11-11 Maxim N. Artyomov , Anatoly B. Kolomeisky

The dynamics of a one-dimensional two-component Fermi gas in the presence of a quasi-periodic optical lattice (OL) is investigated by means of a Density Functional Theory approach. Inspired by the protocol implemented in recent cold-atom…

Quantum Gases · Physics 2018-04-11 Francesco Ancilotto , Davide Rossini , Sebastiano Pilati

A recent experiment by P. Bordia et al. (Periodically Driving a Many Body Localized Quantum System, Nat Phys, Jan 2017) has demonstrated that periodically modulating the potential of a localised many-body quantum system described by the…

Quantum Physics · Physics 2018-07-31 Donato Romito , Carlos Lobo , Alessio Recati

We consider weakly interacting bosons in a 1D quasiperiodic potential (Aubry-Azbel-Harper model) in the regime where all single-particle states are localized. We show that the interparticle interaction may lead to the many-body…

Disordered Systems and Neural Networks · Physics 2015-06-18 V. P. Michal , B. L. Altshuler , G. V. Shlyapnikov

When a free Fermi gas on a lattice is subject to the action of a linear potential it does not drift away, as one would naively expect, but it remains spatially localized. Here we revisit this phenomenon, known as Stark localization, within…

Statistical Mechanics · Physics 2023-08-09 Luca Capizzi , Carlo Vanoni , Pasquale Calabrese , Andrea Gambassi

We propose to observe many-body localization in cold atomic gases by realizing a Bose-Hubbard chain with binary disorder and studying its non-equilibrium dynamics. In particular, we show that measuring the difference in occupation between…

Disordered Systems and Neural Networks · Physics 2014-11-19 F. Andraschko , T. Enss , J. Sirker

We consider a ladder system where one leg, referred to as the ``bath", is governed by an Aubry-Andr\'{e} (AA) type Hamiltonian, while the other leg, termed the ``subsystem", follows a standard tight-binding Hamiltonian. We investigate the…

Statistical Mechanics · Physics 2025-11-04 Arpita Goswami , Pallabi Chatterjee , Ranjan Modak , Shaon Sahoo

We develop a mean-field theory of the metallic phase near the many-body localization (MBL) transition, using the observation that a system near the MBL transition should become an increasingly slow heat bath for its constituent parts. As a…

Disordered Systems and Neural Networks · Physics 2014-12-31 Sarang Gopalakrishnan , Rahul Nandkishore
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