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Mobility edge (ME), representing the critical energy that distinguishes between extended and localized states, is a key concept in understanding the transition between extended (metallic) and localized (insulating) states in disordered and…

Disordered Systems and Neural Networks · Physics 2024-05-24 Yaru Liu , Zeqing Wang , Chao Yang , Jianwen Jie , Yucheng Wang

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon…

Disordered Systems and Neural Networks · Physics 2015-12-09 Ranjan Modak , Subroto Mukerjee

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behavior, evading thermal equilibrium that occurs under its own dynamics. Previously, the…

The many-body localization (MBL) transition is a quantum phase transition involving highly excited eigenstates of a disordered quantum many-body Hamiltonian, which evolve from "extended/ergodic" (exhibiting extensive entanglement entropies…

Disordered Systems and Neural Networks · Physics 2018-04-20 Piero Naldesi , Elisa Ercolessi , Tommaso Roscilde

At the quantum many-body level, atom-light interfaces generally remain challenging to solve for or understand in a non-perturbative fashion. Here, we consider a waveguide quantum electrodynamics model, where two-level atoms interact with…

Quantum Physics · Physics 2021-09-15 Nikos Fayard , Loïc Henriet , Ana Asenjo-Garcia , Darrick Chang

We study many-body localization (MBL) in the quasiperiodic $t_1$-$t_2$ model, focusing on the role of next-nearest-neighbor (NNN) hopping $t_2$, which introduces a single-particle mobility edge. The calculated phase diagram can be divided…

Disordered Systems and Neural Networks · Physics 2023-01-23 Ke Huang , DinhDuy Vu , Xiao Li , S. Das Sarma

Many-body localization provides a mechanism to avoid thermalization in isolated interacting quantum systems. The breakdown of thermalization may be complete, when all eigenstates in the many-body spectrum become localized, or partial, when…

Disordered Systems and Neural Networks · Physics 2020-09-02 Pietro Brighi , Dmitry Abanin , Maksym Serbyn

We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is characterized by a mobility edge. We…

Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by a phase transition at which equilibrium…

Disordered Systems and Neural Networks · Physics 2021-05-25 Sarang Gopalakrishnan , S. A. Parameswaran

We analyze many body localization (MBL) in an interacting one-dimensional system with a deterministic aperiodic potential. Below the threshold value of the potential $h < h_c$, the non-interacting system has single particle mobility edges…

Disordered Systems and Neural Networks · Physics 2017-09-06 Sabyasachi Nag , Arti Garg

The nature of the dynamical quantum phase transition between the many-body localized (MBL) phase and the thermal phase remains an open question, and one line of attack on this problem is to explore this transition numerically in finite-size…

Disordered Systems and Neural Networks · Physics 2016-12-21 Liangsheng Zhang , Vedika Khemani , David A. Huse

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

Thermalization of random-field Heisenberg spin chain is probed by time evolution of density correlation functions. Studying the impacts of average energies of initial product states on dynamics of the system, we provide arguments in favor…

Disordered Systems and Neural Networks · Physics 2020-10-13 Titas Chanda , Piotr Sierant , Jakub Zakrzewski

In the presence of disorder, an interacting closed quantum system can undergo many-body localization (MBL) and fail to thermalize. However, over long times even weak couplings to any thermal environment will necessarily thermalize the…

The many-body localization (MBL) proximity effect is an intriguing phenomenon where a thermal bath localizes due to the interaction with a disordered system. The interplay of thermal and non-ergodic behavior in these systems gives rise to a…

Disordered Systems and Neural Networks · Physics 2023-08-16 Pietro Brighi , Marko Ljubotina , Dmitry A. Abanin , Maksym Serbyn

As disorder strength increases in quantum many-body systems a new phase of matter, the so-called anybody localization, emerges across the whole spectrum. This transition is energy dependent, a phenomenon known as mobility edge, such that…

Disordered Systems and Neural Networks · Physics 2023-02-02 Rozhin Yousefjani , Abolfazl Bayat

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

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

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

Disordered Systems and Neural Networks · Physics 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

Recently it has been suggested that many-body localization (MBL) can occur in translation-invariant systems, and candidate 1D models have been proposed. We find that such models, in contrast to MBL systems with quenched disorder, typically…

Statistical Mechanics · Physics 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin
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