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We consider disordered many-body systems with periodic time-dependent Hamiltonians in one spatial dimension. By studying the properties of the Floquet eigenstates, we identify two distinct phases: (i) a many-body localized (MBL) phase, in…

Disordered Systems and Neural Networks · Physics 2015-04-16 Pedro Ponte , Z. Papić , François Huveneers , Dmitry A. Abanin

We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to a strong electric field. In the non-interacting case, due to Wannier-Stark localization, the single-particle wave…

Disordered Systems and Neural Networks · Physics 2019-03-20 M. Schulz , C. A. Hooley , R. Moessner , F. Pollmann

Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the…

Disordered Systems and Neural Networks · Physics 2015-10-14 Philipp Hauke , Markus Heyl

We discover a novel localization transition that alters the dynamics of coherence in disordered many-body spin systems subject to Markovian dissipation. The transition occurs in the middle spectrum of the Lindbladian super-operator whose…

Disordered Systems and Neural Networks · Physics 2022-06-08 Ryusuke Hamazaki , Masaya Nakagawa , Taiki Haga , Masahito Ueda

We investigate dynamical many-body localization and delocalization in an integrable system of periodically-kicked, interacting linear rotors. The Hamiltonian we investigate is linear in momentum, and its Floquet evolution operator is…

Disordered Systems and Neural Networks · Physics 2016-08-17 Aydin Cem Keser , Sriram Ganeshan , Gil Refael , Victor Galitski

In dynamical systems of few degrees of freedom, periodic solutions consist the backbone of the phase space and the determination and computation of their stability is crucial for understanding the global dynamics. In this paper we study the…

Earth and Planetary Astrophysics · Physics 2014-07-29 Kyriaki I. Antoniadou , George Voyatzis , Harry Varvoglis

We study the breaking of ergodicity measured in terms of return probability in the evolution of a quantum state of a spin chain. In the non ergodic phase a quantum state evolves in a much smaller fraction of the Hilbert space than would be…

Strongly Correlated Electrons · Physics 2013-02-28 Andrea De Luca , Antonello Scardicchio

When pushed out of equilibrium, generic interacting quantum systems equilibrate locally and are expected to evolve towards a locally thermal description despite their unitary time evolution. Systems in which disorder competes with…

Disordered Systems and Neural Networks · Physics 2019-05-29 Marcel Goihl , Jens Eisert , Christian Krumnow

Periodically driven systems are a common topic in modern physics. In optical lattices specifically, driving is at the origin of many interesting phenomena. However, energy is not conserved in driven systems, and under periodic driving,…

Statistical Mechanics · Physics 2017-11-27 Anton Quelle , Cristiane Morais Smith

We consider from the localization perspective the new critical phenomena discovered recently for perturbed random regular graphs (RRG) and constrained Erd\H{o}s-R\'enyi networks (CERN) \cite{crit2}. At some critical value of the chemical…

Disordered Systems and Neural Networks · Physics 2018-04-10 V. Avetisov , A. Gorsky , S. Nechaev , O. Valba

Due to the presence of phonons, many body localization (MBL) does not occur in disordered solids, even if disorder is strong. Local conservation laws characterizing an underlying MBL phase decay due to the coupling to phonons. Here we show…

Strongly Correlated Electrons · Physics 2019-01-02 Zala Lenarčič , Ehud Altman , Achim Rosch

In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive…

Disordered Systems and Neural Networks · Physics 2017-02-22 I. Yusipov , T. Laptyeva , S. Denisov , M. Ivanchenko

Experiments performed on strongly interacting Rydberg atoms have revealed surprising persistent oscillations of local observables. These oscillations have been attributed to a special set of non-ergodic states, referred to as quantum…

Quantum Gases · Physics 2021-09-29 Ian Mondragon-Shem , Maxim G. Vavilov , Ivar Martin

Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars. Recently, ergodicity breaking has been observed in systems…

We study a simple and tractable model of many-body localization. The main idea is to take a renormalization group perspective in which local entanglement is removed to reach a product state. The model is built from a random local unitary…

Disordered Systems and Neural Networks · Physics 2013-07-03 Brian Swingle

This paper provides a comprehensive analysis of stability and long-time behaviour of a coupled system constituted by two rigid bodies separated by a thin layer of lubricant. We show that permanent rotations of the whole system, with the…

Dynamical Systems · Mathematics 2023-08-08 Evan Arsenault , Giusy Mazzone

We explore the limitations of using imbalance dynamics as a diagnostic tool for many-body localization (MBL) and show that spatial averaging can mask important microscopic features. Focusing on the strongly disordered regime of the…

Disordered Systems and Neural Networks · Physics 2026-01-09 Asmi Haldar , Thibault Scoquart , Fabien Alet , Nicolas Laflorencie

We generalize Page's result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long range interactions. This extension leads to two principal conclusions:…

Disordered Systems and Neural Networks · Physics 2021-07-21 Felipe Monteiro , Masaki Tezuka , Alexander Altland , David A. Huse , Tobias Micklitz

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited…

Disordered Systems and Neural Networks · Physics 2015-07-27 E. J. Torres-Herrera , Lea F. Santos

We numerically study stochastic resonance in the unzipping of a model double-stranded DNA by a periodic force. We observe multiple peaks in stochastic resonance in the output signal as the driving force frequency is varied for different…

Soft Condensed Matter · Physics 2023-08-22 Ramu Kumar Yadav , M. Suman Kalyan , Rajeev Kapri , Abhishek Chaudhuri