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The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

无序系统与神经网络 · 物理学 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

The possibility of observing many body localization of ultracold atoms in a one dimensional optical lattice is discussed for random interactions. In the non-interacting limit, such a system reduces to single-particle physics in the absence…

量子气体 · 物理学 2017-02-15 Piotr Sierant , Dominique Delande , Jakub Zakrzewski

How a closed system thermalizes, especially in the absence of global conservation laws but in the presence of disorder and interactions, is one of the central questions in non-equilibrium statistical mechanics. We explore this for a…

无序系统与神经网络 · 物理学 2025-02-25 Soumya Bera , Ishita Modak , Roderich Moessner

The propensity of water to remain in a metastable liquid state at temperatures below its equilibrium melting point holds significant potential for cryopreserving biological material such as tissues and organs. The benefits conferred are a…

材料科学 · 物理学 2023-12-04 Anthony N. Consiglio , Yu Ouyang , Matthew J. Powell-Palm , Boris Rubinsky

We investigate two one-dimensional tight-binding models with disorder that have extended states at zero energy. We use exact and partial diagonalisation of the Hamiltonian to obtain the eigenmodes and the associated participation ratios,…

无序系统与神经网络 · 物理学 2025-08-27 Luca Schaefer , Barbara Drossel

The dynamics of the highly excited states of a system projected into a single Landau level are analyzed. An analysis of level spacing ratios for finite size systems shows a clear crossover from extend (GUE) to localized (Poisson)…

无序系统与神经网络 · 物理学 2017-02-08 Scott D. Geraedts , R. N. Bhatt

Contrary to the theoretical predictions that all waves in two-dimensional disordered materials are localized, Anderson localization is observed only for sufficiently high frequencies in an isotropically jammed two-dimensional disordered…

软凝聚态物质 · 物理学 2021-03-10 Ling Zhang , Yinqiao Wang , Jie Zheng , Aile Sun , Xulai Sun , Yujie Wang , Walter Schirmacher , Jie Zhang

The predictions of a class of phenomenological trap models of supercooled liquids are tested via computer simulation of a model glass-forming liquid. It is found that a model with a Gaussian distribution of trap energies provides a good…

软凝聚态物质 · 物理学 2007-05-23 R. Aldrin Denny , David R. Reichman , Jean-Philippe Bouchaud

We use quantum information measures to study the local quantum phase transition that occurs for trapped spinless fermions in one-dimensional lattices. We focus on the case of a harmonic confinement. The transition occurs upon increasing the…

统计力学 · 物理学 2018-04-10 Yicheng Zhang , Lev Vidmar , Marcos Rigol

The equilibrium behavior of a system of elastic layers under tension in the presence of correlated disorder is studied using functional renormalization group techniques. The model exhibits many of the features of the Bose glass phase of…

凝聚态物理 · 物理学 2009-10-22 Leon Balents

We study localization properties of continuously monitored dynamics and associated measurement-induced phase transitions in disordered quantum many-body systems on the basis of the quantum trajectory approach. By calculating the fidelity…

统计力学 · 物理学 2023-06-09 Kazuki Yamamoto , Ryusuke Hamazaki

We introduce an exactly solvable model for glassy dynamics with many relaxational modes, each one characterized by a different relaxational time-scale. Analytical solution of the aging dynamics at low temperatures shows that a…

统计力学 · 物理学 2007-05-23 A. Garriga , F. Ritort

A two dimensional model for quantum percolation with variable tunneling range is studied. For this purpose the Lifshitz model is considered where the disorder enters the Hamiltonian via the nondiagonal elements. We employ a numerical method…

凝聚态物理 · 物理学 2007-05-23 M. Letz , K. Ziegler

Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by $D$ incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly…

无序系统与神经网络 · 物理学 2022-04-20 David M. Long , Philip J. D. Crowley , Anushya Chandran

We investigate localization of entanglement of multimode Gaussian states into a pair of modes by local Gaussian measurements on the remaining modes and classical communication. We find that for pure states and for mixed symmetric states…

量子物理 · 物理学 2009-11-13 Jaromir Fiurasek , Ladislav Mista

We consider a many-body localized system coupled globally to a central $d$-level system. Under an appropriate scaling of $d$ and $L$, we find evidence that the localized phase survives. We argue for two possible thermalizing phases,…

无序系统与神经网络 · 物理学 2019-06-24 Nathan Ng , Michael Kolodrubetz

Common belief, confirmed by existing experiments, is that arbitrarily weak disorder should lead to spatial localization of eigenmodes of scalar wave equations when wave propagation is two-dimensional (2D). We predict that contrary to this…

无序系统与神经网络 · 物理学 2026-04-28 Sébastien Lucas , Christian Miniatura , Sergey E. Skipetrov

We study the glassy super-rough phase of a class of solid-on-solid models with a disordered substrate in the limit of vanishing temperature by means of exact ground states, which we determine with a newly developed minimum cost flow…

无序系统与神经网络 · 物理学 2009-10-28 H. Rieger , U. Blasum

Localization phenomena permeate many branches of physics playing a fundamental role on dynamical processes evolving on heterogeneous networks. These localization analyses are frequently grounded, for example, on eigenvectors of adjacency or…

物理与社会 · 物理学 2020-11-24 Diogo H. Silva , Silvio C. Ferreira

The random field S=1/2 Heisenberg chain exhibits a dynamical many body localization transition at a critical disorder strength, which depends on the energy density. At weak disorder, the eigenstate thermalization hypothesis (ETH) is…

无序系统与神经网络 · 物理学 2016-04-06 David J. Luitz