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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…

Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder, allowing quantum systems to prevent thermalization. In this study, we investigate the MBL properties of the fully…

无序系统与神经网络 · 物理学 2024-02-20 Jiameng Hong , Taotao Hu

Building on recent progress in the study of Anderson and many-body localization via the renormalization group (RG), we examine the scaling theory of localization in the quantum Random Energy Model (QREM). The QREM is known to undergo a…

无序系统与神经网络 · 物理学 2026-03-27 Federico Balducci , Giacomo Bracci-Testasecca , Jacopo Niedda , Antonello Scardicchio , Carlo Vanoni

Recent developments in matrix-product-state (MPS) investigations of many-body localization (MBL) are reviewed, with a discussion of benefits and limitations of the method. This approach allows one to explore the physics around the MBL…

无序系统与神经网络 · 物理学 2022-04-29 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin , Dmitry G. Polyakov

We construct a solvable spin chain model of many-body localization (MBL) with a tunable mobility edge. This simple model not only demonstrates analytically the existence of mobility edges in interacting one-dimensional (1D) disordered…

统计力学 · 物理学 2015-07-07 Yichen Huang

Anderson localization on random regular graphs (RRG) serves as a toy-model of many-body localization (MBL). We explore the transition for ergodicity to localization on RRG with large connectivity $m$. In the analytical part, we focus on the…

无序系统与神经网络 · 物理学 2023-10-12 Jan-Niklas Herre , Jonas F. Karcher , Konstantin S. Tikhonov , Alexander D. Mirlin

Many-body localization (MBL) hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this work, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain, finding the multimodal distribution…

无序系统与神经网络 · 物理学 2025-02-12 Adith Sai Aramthottil , Piotr Sierant , Maciej Lewenstein , Jakub Zakrzewski

Nonstabilizerness, also known as ``magic'', quantifies the deviation of quantum states from stabilizer states, capturing the complexity necessary for quantum computational advantage. In this study, we investigate the dynamics of…

量子物理 · 物理学 2025-12-12 Pedro R. Nicácio Falcão , Piotr Sierant , Jakub Zakrzewski , Emanuele Tirrito

Disorder free many-body localization (MBL) can occur in interacting systems that can dynamically generate their own disorder. We address the thermal-MBL phase transition of two isotropic Heisenberg spin chains that are quasi-periodically…

无序系统与神经网络 · 物理学 2024-09-04 K. G. S. H. Gunawardana , Bruno Uchoa

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

Many-body localization has become an important phenomenon for illuminating a potential rift between non-equilibrium quantum systems and statistical mechanics. However, the nature of the transition between ergodic and localized phases in…

无序系统与神经网络 · 物理学 2018-06-04 Johnnie Gray , Sougato Bose , Abolfazl Bayat

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 localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems such as their stability to thermal inclusions and the…

无序系统与神经网络 · 物理学 2018-02-27 Pedro Ponte , C. R. Laumann , David A. Huse , A. Chandran

A one-dimensional system of bosons with short-range repulsion and mid-range attraction is used as a laboratory to explore the evolution of many-body forces by the Similarity Renormalization Group (SRG). The free-space SRG is implemented for…

核理论 · 物理学 2009-02-12 E. D. Jurgenson , R. J. Furnstahl

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…

无序系统与神经网络 · 物理学 2022-07-13 Philip J. D. Crowley , Anushya Chandran

We study a quantum spin system with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we…

统计力学 · 物理学 2016-06-01 James M. Hickey , Sam Genway , Juan P. Garrahan

The Similarity Renormalization Group (SRG) is investigated as a powerful yet practical method to modify nuclear potentials so as to reduce computational requirements for calculations of observables. The key feature of SRG transformations…

核理论 · 物理学 2009-12-16 E. D. Jurgenson

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

Many-body localization (MBL) features are studied here for a large spin chain model with long range interactions. The model corresponds to cold atoms placed inside a cavity and driven by an external laser field with long range interactions…

无序系统与神经网络 · 物理学 2022-02-28 Titas Chanda , Jakub Zakrzewski

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

无序系统与神经网络 · 物理学 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet