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We generalize the definition of localization length to disordered systems driven by a time-periodic potential using a Floquet-Green function formalism. We study its dependence on the amplitude and frequency of the driving field in a…

无序系统与神经网络 · 物理学 2009-11-11 Dario F. Martinez , Rafael A. Molina

We investigate the electric-field driven power-law random banded matrix(PLRBM) model where a variation in the power-law exponent $\alpha$ yields a delocalization-to-localization phase transition. We examine the periodically driven PLRBM…

无序系统与神经网络 · 物理学 2025-05-15 Vatsana Tiwari , Devendra Singh Bhakuni , Auditya Sharma

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

无序系统与神经网络 · 物理学 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko

We study a periodically driven central site coupled to a disordered environment. In comparison to the static model, transport features are either enhanced or reduced, depending on the frequency of the drive. We demonstrate this by analyzing…

无序系统与神经网络 · 物理学 2019-07-17 Daniel Hetterich , Gabriel Schmitt , Lorenzo Privitera , Björn Trauzettel

We investigate the transition induced by disorder in a periodically-driven one-dimensional model displaying quantized topological transport. We show that, while instantaneous eigenstates are necessarily Anderson localized, the periodic…

无序系统与神经网络 · 物理学 2020-01-01 Matteo M. Wauters , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro , Lorenzo Privitera

We propose an explanation of the bands of extended states appearing in random one dimensional models with correlated disorder, focusing on the Continuous Random Dimer model [A.\ S\'{a}nchez, E.\ Maci\'a, and F.\ Dom\'\i nguez-Adame, Phys.\…

凝聚态物理 · 物理学 2009-10-22 A. Sanchez , F. Dominguez-Adame , G. Berman , F. Izrailev

We study the strong disorder regime of Floquet topological systems in dimension two, that describe independent electrons on a lattice subject to a periodic driving. In the spectrum of the Floquet propagator we assume the existence of an…

数学物理 · 物理学 2019-06-26 Jacob Shapiro , Clément Tauber

Localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by the quasi-periodic harmonic oscillations of $M$ colors is investigated systematically, which has been partly reported by the…

无序系统与神经网络 · 物理学 2022-05-11 Hiroaki S. Yamada , Kensuke S. Ikeda

Motivated by the recent experiment by Bordia et al [Nat. Phys. 13, 460 (2017)], we study single particle delocalization phenomena of Aubry-Andr\'e (AA) model subjected to periodic drives. In two distinct cases we construct an equivalent…

量子气体 · 物理学 2018-01-10 S. Ray , A. Ghosh , S. Sinha

The topological phases of periodically-driven, or Floquet systems, rely on a perfectly periodic modulation of system parameters in time. Even the smallest deviation from periodicity leads to decoherence, causing the boundary (end) states to…

介观与纳米尺度物理 · 物理学 2019-01-14 M. -T. Rieder , L. M. Sieberer , M. H. Fischer , I. C. Fulga

We study localization and charge dynamics in a monochromatically driven one-dimensional Anderson insulator focussing on the low-frequency, strong-driving regime. We study this problem using a mapping of the Floquet Hamiltonian to a hopping…

无序系统与神经网络 · 物理学 2017-07-19 Kartiek Agarwal , Sriram Ganeshan , R. N. Bhatt

The quest for nonequilibrium quantum phase transitions is often hampered by the tendency of driving and dissipation to give rise to an effective temperature, resulting in classical behavior. Could this be different when the dissipation is…

无序系统与神经网络 · 物理学 2021-06-30 Alon Beck , Moshe Goldstein

We show how local periodic driving can be used to control dissipation in a structured environment in a highly selective manner. As a minimal setting, we consider two discrete levels coupled to a one-dimensional tight-binding continuum with…

量子物理 · 物理学 2026-05-12 Hidemasa Yamane

This thesis presents original results in two domains of disordered statistical physics: logarithmic correlated Random Energy Models (logREMs), and localization transitions in long-range random matrices. In the first part devoted to logREMs,…

无序系统与神经网络 · 物理学 2017-05-22 Xiangyu Cao

Engineering dissipative dynamics in open quantum systems is under active focus, especially in topological settings where resilient edge modes are expected to exhibit decay rates distinct from the bulk. In this letter, we propose an…

介观与纳米尺度物理 · 物理学 2025-12-01 Koustav Roy , Shahroze Shahab , Saurabh Basu

We present an extension of the functional renormalization group to Floquet space, which enables us to treat the long time behavior of interacting time periodically driven quantum dots. It is one of its strength that the method is neither…

强关联电子 · 物理学 2016-12-21 Anna Katharina Eissing , Volker Meden , Dante Marvin Kennes

Periodically driven systems offer a perfect breeding ground for out-of-equilibrium engineering of topological boundary states at zero energy ($0$-mode), as well as finite energy ($\pi$-mode), with the latter having no static analog. The…

介观与纳米尺度物理 · 物理学 2024-12-18 Arnob Kumar Ghosh , Rodrigo Arouca , Annica M. Black-Schaffer

We investigate the effect of a periodic electric field drive on the generalized Aubry-Andr\'e model, also known as the Ganeshan-Pixley-Das Sarma (GPD) model, which is well known as a host of mobility edges. Our study of the Floquet spectrum…

无序系统与神经网络 · 物理学 2026-04-27 Jayashis Das , Vatsana Tiwari , Manish Kumar , Auditya Sharma

We present a theory of periodically driven, many-body localized (MBL) systems. We argue that MBL persists under periodic driving at high enough driving frequency: The Floquet operator (evolution operator over one driving period) can be…

无序系统与神经网络 · 物理学 2017-01-30 Dmitry Abanin , Wojciech De Roeck , François Huveneers

Anderson localization is the ubiquitous phenomenon of inhibition of transport of classical and quantum waves in a disordered medium. In dimension one, it is well known that all states are localized, implying that the distribution of an…

无序系统与神经网络 · 物理学 2022-06-14 Clément Hainaut , Jean-François Clément , Pascal Szriftgiser , Jean Claude Garreau , Adam Rançon , Radu Chicireanu
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