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We study dynamics of isolated quantum many-body systems under periodic driving. We consider a driving protocol in which the Hamiltonian is switched between two different operators periodically in time. The eigenvalue problem of the…

Disordered Systems and Neural Networks · Physics 2015-01-05 Pedro Ponte , Anushya Chandran , Z. Papić , Dmitry A. Abanin

Recent theoretical and numerical evidence suggests that localization can survive in disordered many-body systems with very high energy density, provided that interactions are sufficiently weak. Stronger interactions can destroy…

Disordered Systems and Neural Networks · Physics 2013-04-17 Shankar Iyer , Vadim Oganesyan , Gil Refael , David A. Huse

Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this…

It is expected that a generic closed many-body system prepared in a well-behaved initial state and subjected to a periodic drive will eventually thermalize, i.e. approach the state of maximal entropy. This property, while compatible with…

Statistical Mechanics · Physics 2026-03-17 Anton Kapustin

Dynamical localization is the analog of Anderson localization in momentum space, where the system's energy saturates and the single-particle wave-functions are exponentially localized in momentum space. In the presence of interactions, in…

Quantum Gases · Physics 2021-10-13 Vincent Vuatelet , Adam Rançon

The second law of thermodynamics states that for a thermally isolated system entropy never decreases. Most physical processes we observe in nature involve variations of macroscopic quantities over spatial and temporal scales much larger…

High Energy Physics - Theory · Physics 2017-02-20 Paolo Glorioso , Hong Liu

This work presents a general unifying theoretical framework for quantum non-equilibrium systems. It is based on a re-statement of the dynamical problem as one of inferring the distribution of collision events that move a system toward…

Quantum Physics · Physics 2015-03-30 David M. Rogers

A major part of the many thermally driven processes in our natural environment as well as in engineering solutions of Carnot-type machinery is based on the second law of thermodynamics (or principle of entropy increase). An interesting link…

General Physics · Physics 2010-09-29 Hans R. Moser

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

We study the many-body localization aspects of single-particle mobility edges in fermionic systems. We investigate incommensurate lattices and random disorder Anderson models. Many-body localization and quantum nonergodic properties are…

Statistical Mechanics · Physics 2016-06-07 Xiaopeng Li , J. H. Pixley , Dong-Ling Deng , Sriram Ganeshan , S. Das Sarma

Thermalization in many-body systems can be inhibited by the application of a linearly increasing potential, which is known as Stark many-body localization. Here we investigate the fate of this phenomenon on a two-dimensional disorder-free…

Strongly Correlated Electrons · Physics 2022-04-29 Elmer V. H. Doggen , Igor V. Gornyi , Dmitry G. Polyakov

We study dynamics of a locally conserved energy in ergodic, local many-body quantum systems on a lattice with no additional symmetry. The resulting dynamics is well approximated by a coarse grained, classical linear functional diffusion…

Statistical Mechanics · Physics 2019-02-13 Tom Banks , Andrew Lucas

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

Disordered Systems and Neural Networks · Physics 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

We provide evidence that a clean kicked Bose-Hubbard model exhibits a many-body dynamically localized phase. This phase shows ergodicity breaking up to the largest sizes we were able to consider. We argue that this property persists in the…

Quantum Gases · Physics 2020-02-19 Michele Fava , Rosario Fazio , Angelo Russomanno

We study the effect of many-body quantum interference on the dynamics of coupled periodically kicked systems whose classical dynamics is chaotic and shows an unbounded energy increase. We specifically focus on a $N$ coupled kicked rotors…

Localization transitions as a function of temperature require a many-body mobility edge in energy, separating localized from ergodic states. We argue that this scenario is inconsistent because local fluctuations into the ergodic phase…

Disordered Systems and Neural Networks · Physics 2016-01-26 Wojciech de Roeck , Francois Huveneers , Markus Müller , Mauro Schiulaz

We study if the interplay between dynamical localization and interactions in periodically driven quantum systems can give rise to anomalous thermalization behavior. Specifically, we consider one-dimensional models with interacting spinless…

Statistical Mechanics · Physics 2024-01-08 Sreemayee Aditya , Diptiman Sen

Quantum interference lies at the heart of several surprising equilibrium and non-equilibrium phenomena in many-body Physics. Here we discuss two recently explored non-equilibrium scenarios where external periodic drive applied to closed…

Other Condensed Matter · Physics 2017-08-02 Asmi Haldar , Arnab Das

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

Statistical Mechanics · Physics 2015-05-14 J. M. Deutsch
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