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We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a…

数学物理 · 物理学 2025-01-08 Alexander Elgart , Abel Klein

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…

无序系统与神经网络 · 物理学 2018-03-14 Benjamin Villalonga , Xiongjie Yu , David J. Luitz , Bryan K. Clark

We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transition, using shift-invert exact diagonalization. We also…

无序系统与神经网络 · 物理学 2018-11-07 Francesca Pietracaprina , Nicolas Macé , David J. Luitz , Fabien Alet

Models of many-body localization (MBL) can be represented as tight-binding models in the many-body Hilbert space (Fock space). We explore the role of correlations between matrix elements of the effective Fock-space Hamiltonians in the…

无序系统与神经网络 · 物理学 2024-06-12 Thibault Scoquart , Igor V. Gornyi , Alexander D. Mirlin

Many body localization (MBL) represents a unique physical phenomenon, providing a testing ground for exploring thermalization, or more precisely its failure. Here we characterize the MBL regime geometrically by the many-body quantum metric…

无序系统与神经网络 · 物理学 2026-05-14 W. N. Faugno , Tomoki Ozawa

We address the fate of many-body localization (MBL) of mid-spectrum eigenstates of a matter-free $U(1)$ quantum-link gauge theory Hamiltonian with random couplings on ladder geometries. Apart from level spacing distribution indicators like…

无序系统与神经网络 · 物理学 2026-01-27 Indrajit Sau , Debasish Banerjee , Arnab Sen

We study the role of the interaction range on the Hilbert space fragmentation and many-body scar states considering a spin-1/2 many-body Hamiltonian describing a generalized Fredkin spin chain. We show that both scar states and weak…

强关联电子 · 物理学 2023-07-21 Gianluca Francica , Luca Dell'Anna

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an…

Quantum many-body systems with sufficiently strong disorder can exhibit a non-equilibrium phenomenon, known as the many-body localization (MBL), which is distinct from conventional thermalization. While the MBL regime has been extensively…

Investigating many-body localization (MBL) using exact numerical methods is limited by the exponentialgrowth of the Hilbert space. However, localized eigenstates display multifractality and only extend over a vanishing fraction of the…

无序系统与神经网络 · 物理学 2022-01-13 Francesca Pietracaprina , Nicolas Laflorencie

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…

无序系统与神经网络 · 物理学 2019-11-06 Nicolas Macé , Fabien Alet , Nicolas Laflorencie

We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating…

无序系统与神经网络 · 物理学 2018-03-28 Soonwon Choi , Dmitry A. Abanin , Mikhail D. Lukin

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…

无序系统与神经网络 · 物理学 2021-07-14 Giuseppe De Tomasi , Ivan M. Khaymovich , Frank Pollmann , Simone Warzel

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…

无序系统与神经网络 · 物理学 2024-09-05 Maitri Ganguli , Aneek Jana

We study the details of the distribution of the entanglement spectrum (eigenvalues of the reduced density matrix) of a disordered spin chain exhibiting a many-body localization (MBL) transition. In the thermalizing region we identify the…

无序系统与神经网络 · 物理学 2017-11-07 Francesca Pietracaprina , Giorgio Parisi , Angelo Mariano , Saverio Pascazio , Antonello Scardicchio

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…

无序系统与神经网络 · 物理学 2018-04-20 Piero Naldesi , Elisa Ercolessi , Tommaso Roscilde

We generalize the notion of "localization landscape," introduced by M. Filoche and S. Mayboroda [Proc. Natl. Acad. Sci. USA 109, 14761 (2012)] for the single-particle Schrodinger operator, to a wide class of interacting many-body…

无序系统与神经网络 · 物理学 2020-01-15 Shankar Balasubramanian , Yunxiang Liao , Victor Galitski

Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of…

We address the critical properties of the many-body localization (MBL) phase transition in one-dimensional systems subject to spatially correlated disorder. We consider a general family of disorder models, parameterized by how strong the…

无序系统与神经网络 · 物理学 2022-10-18 Zhengyan Darius Shi , Vedika Khemani , Romain Vasseur , Sarang Gopalakrishnan

We are interested in how quantum data can allow for practical solutions to otherwise difficult computational problems. A notoriously difficult phenomenon from quantum many-body physics is the emergence of many-body localization (MBL). So…

无序系统与神经网络 · 物理学 2022-02-21 Alexander Gresch , Lennart Bittel , Martin Kliesch