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We study a canonical many-body-localized (MBL) system with power-law-correlated disorders: $s=\frac{1}{2}$ spin chain in a random magnetic field. The power-law-correlated disorder can control the critical regime between the MBL and thermal…

Statistical Mechanics · Physics 2020-10-20 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

Strong disorder in interacting quantum systems can give rise to the phenomenon of Many-Body Localization (MBL), which defies thermalization due to the formation of an extensive number of quasi local integrals of motion. The one particle…

Disordered Systems and Neural Networks · Physics 2018-03-14 Benjamin Villalonga , Xiongjie Yu , David J. Luitz , Bryan K. Clark

We investigate localization properties of electron eigenstates in one-dimensional (1d) systems with long-range correlated diagonal disorder. Numerical studies on the localization length $\xi$ of eigenstates demonstrate the existence of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 H. Shima , T. Nomura , T. Nakayama

We study the ergodic properties of excited states in a model of interacting fermions in quasi-one-dimensional chains subjected to a random vector potential. In the noninteracting limit, we show that arbitrarily small values of this complex…

Quantum Gases · Physics 2016-11-23 Chen Cheng , Rubem Mondaini

Many-body localized (MBL) phases of disordered quantum many-particle systems have a number of unique properties, including failure to act as a thermal bath and protection of quantum coherence. Studying MBL is complicated by the effects of…

Disordered Systems and Neural Networks · Physics 2022-01-03 Michael Sonner , Alessio Lerose , Dmitry A. Abanin

Understanding the nature of the transition from the delocalized to the many-body localized (MBL) phase is an important unresolved issue. To probe the nature of the MBL transition, we investigate the universal properties of single-particle…

Disordered Systems and Neural Networks · Physics 2024-06-28 Atanu Jana , V. Ravi Chandra , Arti Garg

Can localization persist when interaction grows infinitely stronger than randomness? If so, is it many-body Anderson localization? How about the associated localization transition in the infinite-interaction limit? To tackle these…

Disordered Systems and Neural Networks · Physics 2022-12-06 Chun Chen , Yan Chen , Xiaoqun Wang

We explore the high-temperature dynamics of the disordered, one-dimensional XXZ model near the many-body localization (MBL) transition, focusing on the delocalized (i.e., "metallic") phase. In the vicinity of the transition, we find that…

Disordered Systems and Neural Networks · Physics 2015-04-29 Kartiek Agarwal , Sarang Gopalakrishnan , Michael Knap , Markus Mueller , Eugene Demler

Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the…

Disordered Systems and Neural Networks · Physics 2015-10-14 Philipp Hauke , Markus Heyl

We identify a new "order parameter" for the disorder driven many-body localization (MBL) transition by leveraging artificial intelligence. This allows us to pin down the transition, as the point at which the physics changes qualitatively,…

Quantum Physics · Physics 2019-11-19 Patrick Huembeli , Alexandre Dauphin , Peter Wittek , Christian Gogolin

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

The many-body localization transition (MBLT) between ergodic and many-body localized phase in disordered interacting systems is a subject of much recent interest. Statistics of eigenenergies is known to be a powerful probe of crossovers…

Disordered Systems and Neural Networks · Physics 2016-02-03 Maksym Serbyn , Joel E. Moore

We consider a one dimensional spin $1/2$ chain with Heisenberg interaction in a disordered parallel magnetic field. This system is known to exhibit the many body localization (MBL) transition at critical strength of disorder. We analyze the…

Disordered Systems and Neural Networks · Physics 2017-03-01 Canran Xu , Maxim G. Vavilov

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

Disordered Systems and Neural Networks · Physics 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

Many-body localization (MBL) in a one-dimensional Fermi Hubbard model with random on-site interactions is studied. While for this model all single-particle states are trivially delocalized, it is shown that for sufficiently strong…

Disordered Systems and Neural Networks · Physics 2016-11-22 Yevgeny Bar Lev , David R. Reichman , Yoav Sagi

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 examine the standard model of many-body localization (MBL), i.e., the disordered chain of interacting spinless fermions, by representing it as the network in the many-body (MB) basis of noninteracting localized Anderson states. By…

Strongly Correlated Electrons · Physics 2021-02-04 P. Prelovšek , M. Mierzejewski , J. Krsnik , O. S. Barišić

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

We characterize the Many-Body Localization (MBL) phase transition using the dynamics of spread complexity and inverse participation ratio in the Krylov space starting from different initial states. Our analysis of the disordered Heisenberg…

Disordered Systems and Neural Networks · Physics 2024-09-05 Maitri Ganguli , Aneek Jana

Models of many-body localization (MBL) exhibit slow numerical drifts towards delocalization with increasing system size, for which no satisfactory theory exists. Numerics indicates that these drifts are driven by the proliferation of…

Disordered Systems and Neural Networks · Physics 2026-05-08 Carlo Vanoni , David M. Long , Anushya Chandran