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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

We report a Monte Carlo simulation of the $2D$ Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of size $L^2$ up to $L=48$ are investigated. Once a true groundstate is found, we…

高能物理 - 格点 · 物理学 2015-06-25 B. A. Berg , T. Celik

We introduce the spectrum bifurcation renormalization group (SBRG) as a generalization of the real-space renormalization group for the many-body localized (MBL) system without truncating the Hilbert space. Starting from a disordered…

强关联电子 · 物理学 2016-04-06 Yi-Zhuang You , Xiao-Liang Qi , Cenke Xu

An important challenge in the field of many-body quantum dynamics is to identify non-ergodic states of matter beyond many-body localization (MBL). Strongly disordered spin chains with non-Abelian symmetry and chains of non-Abelian anyons…

无序系统与神经网络 · 物理学 2021-03-31 Brayden Ware , Dmitry Abanin , Romain Vasseur

Recently it has been suggested that many-body localization (MBL) can occur in translation-invariant systems, and candidate 1D models have been proposed. We find that such models, in contrast to MBL systems with quenched disorder, typically…

统计力学 · 物理学 2016-08-08 Z. Papic , E. M. Stoudenmire , Dmitry A. Abanin

We re-examine attempts to study the many-body localization transition using measures that are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using simple scaling arguments and an analysis of various models…

Many-body localized (MBL) systems are often described using their local integrals of motion, which, for spin systems, are commonly assumed to be a local unitary transform of the set of on-site spin-z operators. We show that this assumption…

无序系统与神经网络 · 物理学 2020-07-27 Thorsten B. Wahl , Benjamin Béri

The site-random Ising spin glass model is investigated. We find a rigorous symmetry for the SG correlation and the free energy, which provides some restrictions in the phase diagram. Using the defect energies calculated by the numerical…

凝聚态物理 · 物理学 2009-10-28 Yukiyasu Ozeki , Yoshihiko Nonomura

True ground states are evaluated for a 2d Ising model with random near neighbor interactions and ferromagnetic second neighbor interactions (the Randomly Coupled Ferromagnet). The spin glass stiffness exponent is positive when the absolute…

无序系统与神经网络 · 物理学 2009-10-31 A. K. Hartmann , I. A. Campbell

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

We study the breaking of ergodicity measured in terms of return probability in the evolution of a quantum state of a spin chain. In the non ergodic phase a quantum state evolves in a much smaller fraction of the Hilbert space than would be…

强关联电子 · 物理学 2013-02-28 Andrea De Luca , Antonello Scardicchio

Ultracold atoms are an ideal platform to study strongly correlated phases of matter in and out of equilibrium. Much of the experimental progress in this field crucially relies on the control of the contact interaction between two atoms.…

We present a scalable machine learning (ML) model to predict local electronic properties such as on-site electron number and double occupation for disordered correlated electron systems. Our approach is based on the locality principle, or…

强关联电子 · 物理学 2022-08-31 Yi-Hsuan Liu , Sheng Zhang , Puhan Zhang , Ting-Kuo Lee , Gia-Wei Chern

We study the many-body localization transition in one-dimensional Hubbard chains using exact diagonalization and quantum chaos indicators. We also study dynamics in the delocalized (ergodic) and localized phases and discuss thermalization…

量子气体 · 物理学 2015-12-18 Rubem Mondaini , Marcos Rigol

We present a detailed analysis of the length- and timescales needed to approach the critical region of MBL from the delocalised phase, studying both eigenstates and the time evolution of an initial state. For the eigenstates we show that in…

无序系统与神经网络 · 物理学 2020-02-10 Rajat K. Panda , Antonello Scardicchio , Maximilian Schulz , Scott R. Taylor , Marko Žnidarič

The experiments performed with neutral atoms trapped in optical tweezers and coherently coupled to the Rydberg state allow quantum simulations of paradigmatic Hamiltonians for quantum magnetism. Previous studies have focused mainly on…

无序系统与神经网络 · 物理学 2025-11-21 L. Brodoloni , J. Vovrosh , S. Julià-Farré , A. Dauphin , S. Pilati

We present a framework in which the transition between a many-body localised (MBL) phase and an ergodic one is symmetry breaking. We consider random Floquet spin chains, expressing their averaged spectral form factor (SFF) as a function of…

统计力学 · 物理学 2021-10-26 S. J. Garratt , J. T. Chalker

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

The eigenstates of many-body localized (MBL) Hamiltonians exhibit low entanglement. We adapt the highly successful density-matrix renormalization group method, which is usually used to find modestly entangled ground states of local…

无序系统与神经网络 · 物理学 2016-08-23 Vedika Khemani , Frank Pollmann , S. L. Sondhi

We investigate the phenomenon of spatial many-body localization (MBL) through pairwise correlation measures based on one and two-point correlation functions. The system considered is the Heisenberg spin-1/2 chain with exchange interaction…

无序系统与神经网络 · 物理学 2017-07-26 Jaime L. C. da C. Filho , Andreia Saguia , Lea F. Santos , Marcelo S. Sarandy