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We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme…

无序系统与神经网络 · 物理学 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

We investigate the effect of ergodic inclusions in putative many-body localized systems. To this end, we consider the random field Heisenberg chain, which is many-body localized at strong disorder and we couple it to an ergodic bubble,…

无序系统与神经网络 · 物理学 2024-07-08 Luis Colmenarez , David J. Luitz , Wojciech De Roeck

Recent work by De Roeck et al. [Phys. Rev. B 95, 155129 (2017)] has argued that many-body localization (MBL) is unstable in two and higher dimensions due to a thermalization avalanche triggered by rare regions of weak disorder. To examine…

无序系统与神经网络 · 物理学 2019-05-29 Ionut-Dragos Potirniche , Sumilan Banerjee , Ehud Altman

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…

无序系统与神经网络 · 物理学 2020-07-15 Benjamin Villalonga , Bryan K. Clark

Some interacting disordered many-body systems are unable to thermalize when the quenched disorder becomes larger than a threshold value. Although several properties of nonzero energy density eigenstates (in the middle of the many-body…

无序系统与神经网络 · 物理学 2020-09-09 Abhisek Samanta , Kedar Damle , Rajdeep Sensarma

We introduce a multi-scale diagonalization scheme to study the transition between the many-body localized and the ergodic phase in disordered quantum chains. The scheme assumes a sharp dichotomy between subsystems that behave as localized…

统计力学 · 物理学 2017-11-28 Thimothée Thiery , Markus Müller , Wojciech De Roeck

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…

无序系统与神经网络 · 物理学 2017-06-02 David J. Luitz , Yevgeny Bar Lev

Localization transitions as a function of temperature require a many-body mobility edge in energy, separating localized from ergodic states. We argue that this scenario is inconsistent because local fluctuations into the ergodic phase…

无序系统与神经网络 · 物理学 2016-01-26 Wojciech de Roeck , Francois Huveneers , Markus Müller , Mauro Schiulaz

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

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon…

无序系统与神经网络 · 物理学 2015-12-09 Ranjan Modak , Subroto Mukerjee

Strongly disordered systems in the many-body localized (MBL) phase can exhibit ground state order in highly excited eigenstates. The interplay between localization, symmetry, and topology has led to the characterization of a broad landscape…

无序系统与神经网络 · 物理学 2021-03-17 Rahul Sahay , Francisco Machado , Bingtian Ye , Chris R. Laumann , Norman Y. Yao

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

无序系统与神经网络 · 物理学 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

Quantum many-body systems can exhibit distinct regimes where dynamics is either ergodic, dynamically exploring an extensive region of available state-space, or non-ergodic, where the dynamics may be restricted. An example is the many-body…

量子物理 · 物理学 2026-03-12 Venelin P. Pavlov , Peter A. Ivanov , Diego Porras , Charlie Nation

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…

无序系统与神经网络 · 物理学 2020-09-02 Pietro Brighi , Dmitry Abanin , Maksym Serbyn

We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's…

无序系统与神经网络 · 物理学 2015-12-25 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

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

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…

强关联电子 · 物理学 2016-07-06 Maciej Kozarzewski , Peter Prelovsek , Marcin Mierzejewski

Many-body localization (MBL) behavior is analyzed {in an extended Bose-Hubbard model with quasiperiodic infinite-range interactions. No additional disorder is present. Examining level statistics and entanglement entropy of eigenstates we…

无序系统与神经网络 · 物理学 2021-06-02 Piotr Kubala , Piotr Sierant , Giovanna Morigi , Jakub Zakrzewski

Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this…

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
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