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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

We study systems which are close to or within the many-body localized (MBL) regime and are driven by strong electric field. In the ergodic regime, the disorder extends applicability of the equilibrium linear--response theory to stronger…

Strongly Correlated Electrons · Physics 2016-07-06 Maciej Kozarzewski , Peter Prelovsek , Marcin Mierzejewski

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions decaying as power-law $V_{ij}/(r_i-r_j)^\alpha$ with distance and…

Disordered Systems and Neural Networks · Physics 2021-02-09 Yogeshwar Prasad , Arti Garg

In this work we study the many-body localization (MBL) transition and relate it to the eigenstate structure in the Fock space. Besides the standard entanglement and multifractal probes, we introduce the radial probability distribution of…

Disordered Systems and Neural Networks · Physics 2021-07-14 Giuseppe De Tomasi , Ivan M. Khaymovich , Frank Pollmann , Simone Warzel

We investigate the effect of a periodic electric field drive on the generalized Aubry-Andr\'e model, also known as the Ganeshan-Pixley-Das Sarma (GPD) model, which is well known as a host of mobility edges. Our study of the Floquet spectrum…

Disordered Systems and Neural Networks · Physics 2026-04-27 Jayashis Das , Vatsana Tiwari , Manish Kumar , Auditya Sharma

An interacting quantum system can transition from an ergodic to a many-body localized (MBL) phase under the presence of sufficiently large disorder. Both phases are radically different in their dynamical properties, which are characterized…

Disordered Systems and Neural Networks · Physics 2020-05-29 Benjamin Villalonga , Bryan K. Clark

Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifractal and ergodic properties of the fictitious time series of…

In the presence of quasiperiodic potentials, the celebrated Kitaev chain presents an intriguing phase diagram with ergodic, localized and and multifractal states. In this work, we generalize these results by studying the localization…

Disordered Systems and Neural Networks · Physics 2022-07-28 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Maciej Lewenstein , Alexandre Dauphin

For strongly correlated quantum systems, fundamental questions about the formation and stability of Floquet-Bloch sidebands (FBs) upon periodic driving remain unresolved. Here, we investigate the impact of electron-electron interactions and…

Strongly Correlated Electrons · Physics 2025-10-29 Karun Gadge , Salvatore R. Manmana

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

We study the dynamics and timescales of a periodically driven Fermi-Hubbard model in a three-dimensional hexagonal lattice. The evolution of the Floquet many-body state is analyzed by comparing it to an equivalent implementation in undriven…

Periodically driven, or Floquet, disordered quantum systems have generated many unexpected discoveries of late, such as the anomalous Floquet Anderson insulator and the discrete time crystal. Here, we report the emergence of an entire band…

Disordered Systems and Neural Networks · Physics 2018-05-22 Sthitadhi Roy , Ivan M. Khaymovich , Arnab Das , Roderich Moessner

We study the combined effect of quasiperiodic disorder, driven and interaction in the periodically kicked Aubry-Andr\'{e} model. In the non-interacting limit, by analyzing the quasienergy spectrum statistics, we verify the existence of a…

Disordered Systems and Neural Networks · Physics 2022-08-26 Yu Zhang , Bozhen Zhou , Haiping Hu , Shu Chen

In this work, we develop a self-consistent Hartree-Fock approach to theoretically study the far-from-equilibrium quantum dynamics of interacting fermions, and apply this approach to explore the onset of many-body localization (MBL) in these…

Disordered Systems and Neural Networks · Physics 2018-12-31 Simon A. Weidinger , Sarang Gopalakrishnan , Michael Knap

We theoretically investigate criticality and multifractal states in a one-dimensional Aubry-Andre-Harper model coupled to electromagnetic cavities. We focus on two specific cases where the phonon frequencies are $\omega_{0}=1$ and…

Disordered Systems and Neural Networks · Physics 2025-08-05 Thales F. Macedo , Julián Faúndez , Raimundo R. dos Santos , Natanael C. Costa , Felipe A. Pinheiro

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many-body localization (MBL), which shows subexponential relaxation of local observables, subdiffusive transport and sublinear spreading of the…

Disordered Systems and Neural Networks · Physics 2017-06-02 David J. Luitz , Yevgeny Bar Lev

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 investigate the fate of a many-body localized phase in a non-Hermitian quasiperiodic model of hardcore bosons subjected to periodic driving. While in general, the many-body localized system is known to thermalize with increasing driving…

Disordered Systems and Neural Networks · Physics 2025-09-19 Sanchayan Banerjee , Ayan Banerjee , Tapan Mishra , Flore K. Kunst

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko

Many-body localization (MBL) provides a mechanism by which interacting quantum systems evade thermalization, leading to persistent memory of initial conditions and slow entanglement growth. Probing these dynamical signatures in large…

Quantum Physics · Physics 2026-03-16 Kazuma Nagao , Tomonori Shirakawa , Rongyang Sun , Peter Prelovšek , Seiji Yunoki