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Closed, interacting, quantum systems have the potential to transition to a many-body localized (MBL) phase under the presence of sufficiently strong disorder, hence breaking ergodicity and failing to thermalize. In this work we study the…

Disordered Systems and Neural Networks · Physics 2020-07-15 Benjamin Villalonga , Bryan K. Clark

We present a large scale exact diagonalization study of the one dimensional spin $1/2$ Heisenberg model in a random magnetic field. In order to access properties at varying energy densities across the entire spectrum for system sizes up to…

Disordered Systems and Neural Networks · Physics 2015-03-05 David J. Luitz , Nicolas Laflorencie , Fabien Alet

In the present study, the interplay among interaction, topology, quasiperiodicity, and non-Hermiticity is studied. The hard-core bosons model on a one-dimensional lattice with asymmetry hoppings and quasiperiodic onsite potentials is…

Disordered Systems and Neural Networks · Physics 2020-08-17 Liang-Jun Zhai , Shuai Yin , Guang-Yao Huang

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

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

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

Disordered Systems and Neural Networks · Physics 2015-05-20 Arijeet Pal , David A. Huse

We first review, following our earlier studies, the critical behavior of the quantum Sherrington-Kirkpatrick (SK) model at finite as well as at zero temperatures. Through the analysis of the Binder cumulant we determined the entire phase…

Statistical Mechanics · Physics 2019-03-08 Sudip Mukherjee , Bikas K Chakrabarti

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

Strongly Correlated Electrons · Physics 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$…

Disordered Systems and Neural Networks · Physics 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

We introduce novel characterizations for many-body phase transitions between delocalized and localized phases based on the system's sensitivity to boundary conditions. In particular, we change boundary conditions from periodic to…

Strongly Correlated Electrons · Physics 2021-01-27 Mohammad Pouranvari , Shiuan-Fan Liou

We investigate quench dynamics across many-body localization (MBL) transition in an interacting one dimensional system of spinless fermions with aperiodic potential. We consider a large number of initial states characterized by the number…

Disordered Systems and Neural Networks · Physics 2022-06-14 Y. Prasad , Arti Garg

Typically, it is assumed that a high-energy eigenstate of a generic interacting quantum many-body Hamiltonian is thermal and obeys the eigenstate thermalization hypothesis. In this work, we show that the paramagnetic phase of a quantum…

Disordered Systems and Neural Networks · Physics 2023-07-06 Shuohang Wu , Zi Cai

We study numerically the Sherrington--Kirkpatrick model as function of the magnetic field h, with fixed temperature T=0.6 Tc. We investigate the finite size scaling behavior of several quantities, such as the spin glass susceptibility,…

Statistical Mechanics · Physics 2009-11-10 Alain Billoire , Barbara Coluzzi

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

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…

Stark many-body localization (SMBL) is a phenomenon observed in interacting systems with a nearly uniform spatial gradient applied field. Contrasting to the traditional many-body localization phenomenon, SMBL does not require disorder. Here…

Disordered Systems and Neural Networks · Physics 2022-02-14 E. Vernek

We show that many-body localization, which exists in tight-binding models, is unstable in a continuum. Irrespective of the dimensionality of the system, many-body localization does not survive the unbounded growth of the single-particle…

Disordered Systems and Neural Networks · Physics 2017-08-02 I. V. Gornyi , A. D. Mirlin , M. Müller , D. G. Polyakov

Topology and many-body localization (MBL) have opened new avenues for preserving quantum information at finite energy density. Resonant delocalization plays a crucial role in destabilizing these phenomena. In this work, we study the…

Disordered Systems and Neural Networks · Physics 2023-09-26 Jared Jeyaretnam , Christopher J. Turner , Arijeet Pal

A prime characterization of many-body localized (MBL) systems is the entanglement of their eigenstates; in contrast to the typical ergodic phase whose eigenstates are volume law, MBL eigenstates obey an area law. In this work, we show that…

Disordered Systems and Neural Networks · Physics 2018-09-12 Xiongjie Yu , Di Luo , Bryan K. Clark

Dynamical many-body freezing occurs in periodic transverse field-driven integrable quantum spin systems. Under freezing conditions, quantum dynamics causes practically infinite hysteresis in the drive response, maintaining its starting…

Statistical Mechanics · Physics 2024-03-29 Mahbub Rahaman , Takashi Mori , Analabha Roy
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