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We present a self-consistent theory of Anderson localization that yields a simple algorithm to obtain \emph{typical local density of states} as an order parameter, thereby reproducing the essential features of a phase-diagram of…

无序系统与神经网络 · 物理学 2009-11-07 V. Dobrosavljevic , A. A. Pastor , Branislav K. Nikolic

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

强关联电子 · 物理学 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson - nonlinear…

光学 · 物理学 2015-06-03 M. I. Molina , N. Lazarides , G. P. Tsironis

We study the effect of spatially correlated classical noise on both Anderson and many-body localization of a disordered fermionic chain. By analyzing the evolution of the particle density imbalance following a quench from an initial charge…

无序系统与神经网络 · 物理学 2022-11-02 Stefano Marcantoni , Federico Carollo , Filippo M. Gambetta , Igor Lesanovsky , Ulrich Schneider , Juan P. Garrahan

We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size in contrast to the predictions of the scaling theory of…

介观与纳米尺度物理 · 物理学 2021-04-28 Onuttom Narayan , Harsh Mathur , Richard Montgomery

We experimentally study the effects of coupling one-dimensional Many-Body Localized (MBL) systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we artifically prepare an initial charge density wave in an…

We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors drawn from various ensembles corresponding to different physical situations. For vectors localized on a randomly chosen subset of…

量子物理 · 物理学 2011-11-09 O. Giraud , J. Martin , B. Georgeot

We study the spatial structure of wave functions with exceptionally high local amplitudes in the Anderson model of localisation. By means of exact diagonalisations of finite systems, we obtain and analyse images of these wave functions: we…

无序系统与神经网络 · 物理学 2009-11-07 V. Uski , B. Mehlig , M. Schreiber

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

无序系统与神经网络 · 物理学 2019-09-11 Seulong Kim , Kihong Kim

We consider the multi-particle Anderson model on the lattice with infinite range but sub-exponentially decaying interaction and show the Anderson localization consisting of the spectral exponential and the strong dynamical localization. In…

数学物理 · 物理学 2017-06-28 Trésor Ekanga

Anderson localization is a striking phenomenon wherein transport of light is arrested due to the formation of disorder-induced resonances. Hitherto, Anderson localization has been demonstrated separately in two limits of disorder, namely,…

We investigate numerically the propagation and the Anderson localization of plane waves in a one-dimensional lattice chain, where disorder and saturable nonlinearity are simultaneously present. Using a calculation scheme for solving the…

无序系统与神经网络 · 物理学 2017-08-08 Ba Phi Nguyen , Kihong Kim

We consider diagonal disordered one-dimensional Anderson models with an underlying periodicity. We assume the simplest periodicity, i.e., we have essentially two lattices, one that is composed of the random potentials and the other of…

无序系统与神经网络 · 物理学 2009-10-30 Michael Hilke

We study the dynamics of a monitored single particle in a one-dimensional, Anderson-localized system. The time evolution is governed by Hamiltonian dynamics for fixed time intervals, interrupted by local, projective measurements. The…

无序系统与神经网络 · 物理学 2023-05-24 Paul Pöpperl , Igor V. Gornyi , Yuval Gefen

We investigate the effect of coupling between translational and internal degrees of freedom of composite quantum particles on their localization in a random potential. We show that entanglement between the two degrees of freedom weakens…

量子物理 · 物理学 2021-10-13 Fumika Suzuki , Mikhail Lemeshko , Wojciech H. Zurek , Roman V. Krems

We rigorously analyse the correspondence between the one-dimensional standard Anderson model and a related classical system, the `kicked oscillator' with noisy frequency. We show that the Anderson localization corresponds to a parametric…

无序系统与神经网络 · 物理学 2009-10-31 L. Tessieri , F. M. Izrailev

We explore the use of short-range entanglement measures, such as concurrence and negativity, and global entanglement measures such as geometric entanglement, as indicators of many-body localization (MBL) in the spectra of disordered spin…

量子物理 · 物理学 2018-09-14 Colin G. West , Tzu-Chieh Wei

We investigated numerically the distribution of participation numbers in the 3d Anderson tight-binding model at the localization-delocalization threshold. These numbers in {\em one} disordered system experience strong level-to-level…

无序系统与神经网络 · 物理学 2009-10-31 D. A. Parshin , H. R. Schober

We develop an alternative scaling approach to determine the criteria for Anderson localization in one-dimensional tight-binding models with random site energies having a bandwidth that decays as a power law in space, $H_{ij} \propto |i -…

无序系统与神经网络 · 物理学 2008-10-27 Shimul Akhanjee

Disorder in moire superlattices simultaneously degrades flat-band localization and induces Anderson localization, yet how these two regimes interact has remained unclear. Here, we introduce a combined framework linking localization-length…

无序系统与神经网络 · 物理学 2026-04-23 Qian Liu , Xiaoshuang Xia , Junjie Wang , Peilong Hong , Lei Xu , Lujun Huang , Daohong Song , Yi Liang