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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

We study the signatures of disorder in the production of orbital electron entanglement in quantum wires. Disordered entanglers suffer the effects of localization of the electron wave function and random fluctuations in the entanglement…

介观与纳米尺度物理 · 物理学 2014-03-07 Alberto Aleta , Héctor Villarubia-Rojo , Diego Frustaglia , Víctor A. Gopar

The time evolution of one- and two-dimensional discrete-time quantum walk with increase in disorder is studied. We use spatial, temporal and spatio-temporal broken periodicity of the unitary evolution as disorder to mimic the effect of…

量子物理 · 物理学 2013-05-17 C. M. Chandrashekar

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

无序系统与神经网络 · 物理学 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz

We study the many-body localization problem in the non-abelian SU(2)-invariant random antiferromagnetic exchange model in 1D. Exact and sparse matrix diagonalization methods are used to calculate eigenvalues and eigenvectors of the…

无序系统与神经网络 · 物理学 2025-02-13 Yilun Gao , Rudolf A. Römer

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

强关联电子 · 物理学 2019-02-21 William Witczak-Krempa

The ``band-structure'' of a disordered stripe array is computed and compared, at a qualitative level, to angle resolved photoemission experiments on the cuprate high temperature superconductors. The low-energy states are found to be…

超导电性 · 物理学 2009-11-07 M. Granath , V. Oganesyan , D. Orgad , S. A. Kivelson

We investigate localization properties of electron eigenstates in one-dimensional (1d) systems with long-range correlated diagonal disorder. Numerical studies on the localization length $\xi$ of eigenstates demonstrate the existence of the…

无序系统与神经网络 · 物理学 2009-11-10 H. Shima , T. Nomura , T. Nakayama

Large-scale multimodal contrastive learning has recently achieved impressive success in learning rich and transferable representations, yet it remains fundamentally limited by the uniform treatment of feature dimensions and the neglect of…

机器学习 · 计算机科学 2026-02-11 Jinjin Guo , Yexin Li , Zhichao Huang , Jun Fang , Zhiyuan Liu , Chao Liu , Pengzhang Liu , Qixia Jiang

We consider d dimensional systems which are localized in the absence of interactions, but whose single particle (SP) localization length diverges near a discrete set of (single-particle) energies, with critical exponent \nu. This class…

统计力学 · 物理学 2014-11-19 Rahul Nandkishore , Andrew C. Potter

Comorbidity, the co-occurrence of multiple medical conditions in a single patient, profoundly impacts disease management and outcomes. Understanding these complex interconnections is crucial, especially in contexts where comorbidities…

机器学习 · 计算机科学 2025-10-13 Xihan Qin , Li Liao

We investigate spin correlations in one-dimensional $SU(2)$-invariant Heisenberg chains with exchange disorder for spin lengths $S=1/2$ and $S=1$. In the weak-disorder regime, the eigenmodes of the spin-spin correlation matrix are…

无序系统与神经网络 · 物理学 2025-08-04 Debasmita Giri , Julian Siegl , John Schliemann

We study the transport properties of two electrons in a quasi one-dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two-body interaction. Using the approach developed by Iida et al. […

无序系统与神经网络 · 物理学 2009-11-07 Jean Richert , Hans A. Weidenmuller

We report Anderson localization in two-dimensional optical waveguide arrays with disorder in waveguide separation introduced along one axis of the array, in an uncorrelated fashion for each waveguide row. We show that the anisotropic nature…

We study Anderson localization of the classical lattice waves in a chain with mass impurities distributed randomly through a power-law relation $s^{-(1+\alpha)}$ with $ s $ as the distance between two successive impurities and $\alpha>0$.…

统计力学 · 物理学 2015-03-10 Sepideh S. Zakeri , Stefano Lepri , Diederik S. Wiersma

We investigate the effect of white-noise disorder on the local phase stiffness and thermodynamic properties of a two-dimensional $s$-wave superconductor. Starting from a local attractive model and using path-integral formalism, we derive an…

超导电性 · 物理学 2025-10-13 Sudipta Biswas , A. Taraphder , Sudhansu S. Mandal

We investigate the effect of correlated disorder on the localization transition undergone by a renewal sequence with loop exponent $\alpha$ > 0, when the correlated sequence is given by another independent renewal set with loop exponent…

概率论 · 数学 2019-07-26 Dimitris Cheliotis , Yuki Chino , Julien Poisat

We discuss the scaling of entanglement entropy in the random singlet phase (RSP) of disordered quantum magnetic chains of general spin-S. Through an analysis of the general structure of the RSP, we show that the entanglement entropy scales…

量子物理 · 物理学 2009-11-13 A. Saguia , M. S. Sarandy , B. Boechat , M. A. Continentino

We investigate the effects of disorder and shielding on quantum transports in a two dimensional system with all-to-all long range hopping. In the weak disorder, cooperative shielding manifests itself as perfect conducting channels identical…

无序系统与神经网络 · 物理学 2023-04-14 Si-Si Wang , Kangkang Li , Yi-Ming Dai , Hui-Hui Wang , Yi-Cai Zhang , Yan-Yang Zhang

Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on disorder in the form of random potentials, while many…

量子物理 · 物理学 2022-11-22 Adrian Braemer , Titus Franz , Matthias Weidemüller , Martin Gärttner