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The many-body localised (MBL) to thermal crossover observed in exact diagonalisation studies remains poorly understood as the accessible system sizes are too small to be in an asymptotic scaling regime. We develop a model of the crossover…

Disordered Systems and Neural Networks · Physics 2022-07-13 Philip J. D. Crowley , Anushya Chandran

The article reviews the physics of Anderson localization on random regular graphs (RRG) and its connections to many-body localization (MBL) in disordered interacting systems. Properties of eigenstate and energy level correlations in…

Disordered Systems and Neural Networks · Physics 2021-10-15 K. S. Tikhonov , A. D. Mirlin

We chart out the ground state phase diagram and demonstrate the presence of a many-body localized (MBL) phase for an experimentally realizable one-dimensional (1D) constrained dipole boson model in the presence of an Aubry-Andre (AA)…

Strongly Correlated Electrons · Physics 2018-10-31 Anirban Dutta , Subroto Mukerjee , K. Sengupta

We study numerically the formation of entanglement clusters across the many-body localization phase transition. We observe a crossover from strong many-body entanglement in the ergodic phase to weak local correlations in the localized…

Disordered Systems and Neural Networks · Physics 2019-04-24 Loïc Herviou , Soumya Bera , Jens H. Bardarson

We study many-body localization in a hardcore boson model in the presence of random disorder on finite generation fractal lattices with different Hausdorff dimensions and different local lattice structures. In particular, we consider the…

Disordered Systems and Neural Networks · Physics 2024-05-30 Sourav Manna , Błażej Jaworowski , Anne E. B. Nielsen

Following the field theoretic approach of Basko et al., Ann. Phys. 321, 1126 (2006), we study in detail the real-time dynamics of a system expected to exhibit many-body localization. In particular, for time scales inaccessible to exact…

Disordered Systems and Neural Networks · Physics 2014-07-02 Yevgeny Bar Lev , David R. Reichman

The combination of strong disorder and interactions in closed quantum systems can lead to many-body localization (MBL). However this quantum phase is not stable when the system is coupled to a thermal environment. We investigate how MBL is…

Strongly Correlated Electrons · Physics 2020-08-12 Elisabeth Wybo , Michael Knap , Frank Pollmann

We experimentally study the effects of coupling one-dimensional Many-Body Localized (MBL) systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we artifically prepare an initial charge density wave in an…

Stark many-body localized (SMBL) systems have been shown both numerically and experimentally to have Bloch many-body oscillations, quantum many-body scars, and fragmentation in the large field tilt limit. Likewise, they are believed to show…

Disordered Systems and Neural Networks · Physics 2022-01-20 Thivan Gunawardana , Berislav Buča

Many-body localization provides a generic mechanism of ergodicity breaking in quantum systems. In contrast to conventional ergodic systems, many-body localized (MBL) systems are characterized by extensively many local integrals of motion…

Disordered Systems and Neural Networks · Physics 2015-03-05 Anushya Chandran , Isaac H. Kim , Guifre Vidal , Dmitry A. Abanin

The characterizing feature of a many-body localized phase is the existence of an extensive set of quasi-local conserved quantities with an exponentially localized support. This structure endows the system with the signature logarithmic in…

Quantum Physics · Physics 2020-04-08 Fabio Anza , Francesca Pietracaprina , John Goold

The nature of the many-body localization (MBL) transition and even the existence of the MBL phase in random many-body quantum systems have been actively debated in recent years. In spatial dimension $d>1$, there is some consensus that the…

Disordered Systems and Neural Networks · Physics 2022-10-05 Utkarsh Agrawal , Romain Vasseur , Sarang Gopalakrishnan

Elements of eigenvectors obtained by exact diagonalization can be considered as two dimensional lattice sites, in which dynamics of a given initial state is seen as a percolating procedure on the lattice sites. Then one can use the…

Disordered Systems and Neural Networks · Physics 2021-03-02 Xiaolong Deng

In contrast with Anderson localization where a genuine localization is observed in real space, the many-body localization (MBL) problem is much less understood in the Hilbert space, support of the eigenstates. In this work, using exact…

Disordered Systems and Neural Networks · Physics 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

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

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

Recent numerical and experimental works have revealed a disorder-free many-body localization (MBL) in an interacting system subjecting to a linear potential, known as the Stark MBL. The conventional MBL, induced by disorder, has been widely…

Quantum Physics · Physics 2023-02-10 Yong-Yi Wang , Zheng-Hang Sun , Heng Fan

We argue that the quenched ultracold plasma presents an experimental platform for studying quantum many-body physics of disordered systems in the long-time and finite energy-density limits. We consider an experiment that quenches a plasma…

Plasma Physics · Physics 2018-03-21 John Sous , Edward Grant

We numerically study the possibility of many-body localization transition in a disordered quantum dimer model on the honeycomb lattice. By using the peculiar constraints of this model and state-of-the-art exact diagonalization and time…

Disordered Systems and Neural Networks · Physics 2021-02-24 Francesca Pietracaprina , Fabien Alet

Many-body localization (MBL) is a novel prototype of ergodicity breaking due to the emergence of local integrals of motion (LIOMs) in a disordered interacting quantum system. To better understand the role played by the existence of such…

Disordered Systems and Neural Networks · Physics 2022-08-10 S. Adami , M. Amini , M. Soltani