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Related papers: Stark localization near Aubry-Andr\'e criticality

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We use the inverse participation ratio based on the Husimi function to perform a phase space analysis of the Anderson model in one, two, and three dimensions. Important features of the quantum states remain observable in phase space in the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andre Wobst , Gert-Ludwig Ingold , Peter Hänggi , Dietmar Weinmann

Active, non-parametric peak detection is considered. As a use case, active source localization is examined and an uncertainty-based sampling scheme algorithm to effectively localize the peak from a few energy measurements is designed. It is…

Information Theory · Computer Science 2022-05-06 Praneeth Narayanamurthy , Urbashi Mitra

Pair localization in one-dimensional quasicrystals with nearest-neighbor hopping is independent of whether short-range interactions are repulsive or attractive. We numerically demonstrate that this symmetry is broken when the hopping…

Disordered Systems and Neural Networks · Physics 2022-11-10 G. A. Domínguez-Castro , R. Paredes

Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold atomic gas, we study the transport properties at the critical point of the metal-insulator Anderson transition. We accurately measure the…

Disordered Systems and Neural Networks · Physics 2012-04-16 Gabriel Lemarié , Hans Lignier , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

Quantum information measures are proposed to analyze the structure of near-gap electronic states in HgTe quantum wells in a strip geometry $(x,y)\in (-\infty,\infty)\times [0,L]$ of finite width $L$. This allows us to establish criteria for…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Manuel Calixto , Octavio Castaños

We study thermalization in a disordered one-dimensional interacting bosonic system described by the Aubry-Andre model using full exact diagonalization. We find a broad chaotic energy window where the system's eigenstates satisfy the…

Quantum Physics · Physics 2025-07-18 Javier de la Cruz , Carlos Diaz-Mejia , Sergio Lerma-Hernandez , Jorge G. Hirsch

In this study, we explore the quantum critical phenomena in generalized Aubry-Andr\'{e} models, with a particular focus on the scaling behavior at various filling states. Our approach involves using quantum fidelity susceptibility to…

Quantum Physics · Physics 2024-05-24 Yu-Bin Liu , Wen-Yi Zhang , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You

Localization properties of particles in one-dimensional incommensurate lattices without interaction are investigated with models beyond the tight-binding Aubry-Andr\'e (AA) model. Based on a tight-binding t_1 - t_2 model with finite…

Quantum Physics · Physics 2009-09-08 J. Biddle , B. Wang , D. J. Priour , S. Das Sarma

We study Anderson localisation on high-dimensional graphs with spatial structure induced by long-ranged but distance-dependent hopping. To this end, we introduce a class of models that interpolate between the short-range Anderson model on a…

Disordered Systems and Neural Networks · Physics 2026-04-22 Bibek Saha , Sthitadhi Roy

Critical fluctuations of wave functions and energy levels at the Anderson transition are studied for the family of the critical power-law random banded matrix ensembles. It is shown that the distribution functions of the inverse…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. D. Mirlin , F. Evers

The prevalence of sparsity in interacting many-body systems motivates an investigation into the spectral statistics of sparse random matrices with on-site disorder. We numerically demonstrate that the Anderson transition can be identified…

Disordered Systems and Neural Networks · Physics 2026-03-24 Sagnik Seth , Adway Kumar Das , Anandamohan Ghosh

Reentrant localization (RL), a recently prominent phenomenon, traditionally links to the interplay of staggered correlated disorder and hopping dimerization, as indicated by prior research. Contrary to this paradigm, our present study…

Disordered Systems and Neural Networks · Physics 2025-02-05 Sudin Ganguly , Sourav Chattopadhyay , Kallol Mondal , Santanu K. Maiti

Using the Anderson model for disordered systems the fluctuations in electron spectra near the metal--insulator transition were numerically calculated for lattices of sizes up to 28 x 28 x 28 sites. The results show a finite--size scaling of…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. Kh. Zharekeshev , B. Kramer

Using a quantum map version of one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in comparison with quantum standard map. Existence of…

Disordered Systems and Neural Networks · Physics 2016-01-20 Hiroaki S. Yamada , Fumihiro Matsui , Kensuke S. Ikeda

We investigate the nonequilbrium dynamics of entanglement entropy and out-of-time-order correlator (OTOC) of noninteracting fermions at half-filling starting from a product state to distinguish the delocalized, multifractal (in the limit of…

Strongly Correlated Electrons · Physics 2021-07-06 Nilanjan Roy , Auditya Sharma

Local density fluctuations near the QCD critical point can be probed by intermittency analysis of scaled factorial moments in relativistic heavy-ion collisions. We report the first measurement of intermittency for charged particles in Au +…

Nuclear Experiment · Physics 2022-08-12 Jin Wu

Stark systems in which a linear gradient field is applied across a many-body system have recently been proposed for quantum sensing. Here, we explore sensing capacity of Stark probes, in both single-particle and many-body interacting…

Quantum Physics · Physics 2025-01-13 Rozhin Yousefjani , Xingjian He , Angelo Carollo , Abolfazl Bayat

Anderson localization is a quantum phenomenon in which disorder localizes electronic wavefunctions. In this work, we propose a new approach to study Anderson localization based on the density matrix formalism. Drawing an analogy to the…

Disordered Systems and Neural Networks · Physics 2026-03-31 Ziyue Qi , Yi Zhang , Mingpu Qin , Hongming Weng , Kun Jiang

(Abstract is abridged for arXiv.) Identified mid-rapidity particle spectra and freeze-out properties are presented for 200 GeV pp, 200 GeV dAu and 62.4 GeV Au-Au collisions, measured in the STAR-TPC. Evolution of the identified particle…

Nuclear Experiment · Physics 2009-09-29 Levente Molnar

We present an analytic theory of quantum interference and Anderson localization in the quantum kicked rotor (QKR). The behavior of the system is known to depend sensitively on the value of its effective Planck's constant $\he$. We here show…

Chaotic Dynamics · Physics 2015-05-18 C. Tian , A. Altland