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The Anderson transition on random graphs draws interest through its resemblance to the many-body localization (MBL) transition with similarly debated properties. In this Letter, we construct a unitary Anderson model on Small-World graphs to…

无序系统与神经网络 · 物理学 2025-02-25 Weitao Chen , Ignacio García-Mata , John Martin , Jiangbin Gong , Bertrand Georgeot , Gabriel Lemarié

Many-body localization (MBL) has been widely investigated for both fermions and bosons, it is, however, much less explored for anyons. Here we numerically calculate several physical characteristics related to MBL of a one-dimensional…

无序系统与神经网络 · 物理学 2020-08-14 Guo-Qing Zhang , Dan-Wei Zhang , Zhi Li , Z. D. Wang , Shi-Liang Zhu

Many-body localization (MBL) appears to be a robust example of ergodicity breaking in many-body interacting systems. Here, we review different aspects of MBL, concentrating on various ways the disorder may be introduced into the system…

无序系统与神经网络 · 物理学 2026-01-15 Konrad Pawlik , Maksym Prodius , Pedro R. Nicácio Falcão , Jakub Zakrzewski

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

无序系统与神经网络 · 物理学 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

We propose a two-dimensional (2d) quantum breakdown model of hardcore bosons interacting with disordered spins which would be classical without the bosons. It resembles particles incident into supersaturated vapor. The model exhibits a set…

强关联电子 · 物理学 2025-02-14 Xinyu Liu , Biao Lian

A key signature of MBL (many-body localization) is the slow rate at which information spreads. It is shown that the infinite random Heisenberg XXZ spin-$\frac12$ chain exhibits slow propagation of information (logarithmic light cone) in any…

数学物理 · 物理学 2026-03-10 Alexander Elgart , Abel Klein

We study the $t{-}V$ disordered spinless fermionic chain in the strong coupling regime, $t/V\rightarrow 0$. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many blocks in system…

无序系统与神经网络 · 物理学 2020-01-01 Giuseppe De Tomasi , Daniel Hetterich , Pablo Sala , Frank Pollmann

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 study the critical level statistics at the many-body localization (MBL) transition region in random spin systems. By employing the inter-sample randomness as indicator, we manage to locate the MBL transition point in both orthogonal and…

无序系统与神经网络 · 物理学 2021-03-02 Wen-Jia Rao

We explore the limitations of using imbalance dynamics as a diagnostic tool for many-body localization (MBL) and show that spatial averaging can mask important microscopic features. Focusing on the strongly disordered regime of the…

无序系统与神经网络 · 物理学 2026-01-09 Asmi Haldar , Thibault Scoquart , Fabien Alet , Nicolas Laflorencie

We introduce the numerical linked cluster (NLC) expansion as a controlled numerical tool for the study of the many-body localization (MBL) transition in a disordered system with continuous non-perturbative disorder. Our approach works…

强关联电子 · 物理学 2015-10-29 Trithep Devakul , Rajiv R. P. Singh

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 numerically investigate the dynamics of entanglement in a chain of spinless fermions with nonrandom but long-range hopping and interactions, and with random on-site energies. For moderate disorder in the absence of interactions, the…

无序系统与神经网络 · 物理学 2017-03-29 Rajeev Singh , Roderich Moessner , Dibyendu Roy

Many-body localization (MBL) is an emergent phase in correlated quantum systems with promis- ing applications, particularly in quantum information. Here, we unveil the existence and analyse this phase in a chiral multiferroic model system.…

无序系统与神经网络 · 物理学 2017-08-29 S. Stagraczyński , L. Chotorlishvili , M. Schüler , M. Mierzejewski , J. Berakdar

We discuss the problem of localization in two dimensional electron systems in the quantum Hall (single Landau level) regime. After briefly summarizing the well-studied problem of Anderson localization in the non-interacting case, we…

无序系统与神经网络 · 物理学 2021-04-06 R. N. Bhatt , Akshay Krishna

We introduce the cut averaged entanglement entropy in disordered periodic spin chains and prove it to be a concave function of subsystem size for individual eigenstates. This allows us to identify the entanglement scaling as a function of…

强关联电子 · 物理学 2016-11-21 Xiongjie Yu , David J. Luitz , Bryan K. Clark

Many-body-localization (MBL) transitions are studied in a family of single-spin-flip spin-$\frac12$ models, including the one-dimensional (1D) chain with nearest-neighbor interactions, the quantum dot (QD) model with all-to-all pair…

无序系统与神经网络 · 物理学 2025-08-19 Thibault Scoquart , Igor V. Gornyi , Alexander D. Mirlin

It has recently been established that quantum many-body scarring can prevent the thermalisation of some isolated quantum systems, starting from certain initial states. One of the first models to show this was the so-called PXP Hamiltonian,…

量子物理 · 物理学 2022-04-27 Shane Dooley , Graham Kells

Nonequilibrium dynamics in isolated quantum many-body systems displays a number of intriguing features, such as many-body localization (MBL) and prethermalization. Here we investigate a simple ladder system with disorder, in which various…

量子物理 · 物理学 2020-09-23 Yang Zhao , Rajesh Narayanan , Jaeyoon Cho

We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with {\it correlated} nearest-neighbor $XY$ interaction. We show that this spin model can be exactly mapped onto the 1D disordered tight-binding model of…

无序系统与神经网络 · 物理学 2022-12-16 Murod S. Bahovadinov , Wouter Buijsman , Aleksey K. Fedorov , Vladimir Gritsev , Denis V. Kurlov