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We consider the dynamics of strongly localized systems subject to dephasing noise with arbitrary correlation time. Although noise inevitably induces delocalization, transport in the noise-induced delocalized phase is subdiffusive in a…

Disordered Systems and Neural Networks · Physics 2017-07-28 Sarang Gopalakrishnan , K. Ranjibul Islam , Michael Knap

Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet…

Disordered Systems and Neural Networks · Physics 2016-08-23 C. W. von Keyserlingk , Vedika Khemani , S. L. Sondhi

Flatbands feature the distortion-free storage of compact localized states of tailorable shape. Their reliable storage sojourn is, however, limited by disorder potentials, which generically cause uncontrolled coupling into dispersive bands.…

Quantum Physics · Physics 2018-11-13 Clemens Gneiting , Zhou Li , Franco Nori

Quantum coherence and phase transitions are studied in a finite one-dimensional Bose--Hubbard model using exact diagonalization under thermal fluctuations, a Stark potential, and disorder. The condensate fraction, superfluid fraction,…

Dissipation is traditionally regarded as a disruptive factor in quantum systems because it often leads to decoherence and delocalization. However, recent insights into engineered dissipation reveal that it can be tuned to facilitate various…

Quantum Physics · Physics 2026-02-03 Shilpi Roy , Jiangbin Gong

The energy transition towards an increased supply of renewable energy raises concerns that existing electricity grids, built to connect few centralized large power plants with consumers, may become more difficult to control and stabilized…

Chaotic Dynamics · Physics 2016-12-23 S. Kettemann

Topological order is a promising basis for quantum error correction, a key milestone towards large-scale quantum computing. Floquet codes provide a dynamical scheme for this while also exhibiting Floquet-enriched topological order (FET)…

Quantum Physics · Physics 2025-06-09 Cory T. Aitchison , Benjamin Béri

In this paper, we study periodic linear systems on periodic time scales which include not only discrete and continuous dynamical systems but also systems with a mixture of discrete and continuous parts (e.g. hybrid dynamical systems). We…

Dynamical Systems · Mathematics 2009-01-27 Jeffrey J. DaCunha , John M. Davis

Driving a quantum system periodically in time can profoundly alter its long-time correlations and give rise to exotic quantum states of matter. The complexity of the combination of many-body correlations and dynamic manipulations has the…

Strongly Correlated Electrons · Physics 2019-06-04 Shaon Sahoo , Imke Schneider , Sebastian Eggert

Localization may survive in periodically driven (Floquet) quantum systems, but is generally unstable for aperiodic drives. In this work, we identify a hidden conservation law originating from a chiral symmetry in a disordered spin-1/2 XX…

Disordered Systems and Neural Networks · Physics 2022-06-22 Hongzheng Zhao , Florian Mintert , Johannes Knolle , Roderich Moessner

We study light propagation in an array of periodically curved waveguides consisting of pairs of waveguides with out-of-phase oscillations of waveguide centers. We compute the corresponding Floquet propagation constants and find…

Optics · Physics 2025-10-01 Yaroslav V. Kartashov , Dmitry A. Zezyulin

The fate of many-body localization in long-range interacting systems is not fully settled. For instance, the phase boundary between ergodic and many-body localized regimes is still under debate. Here, we use Floquet dynamics which can…

Quantum Physics · Physics 2023-02-14 Rozhin Yousefjani , Sougato Bose , Abolfazl Bayat

Quasiperiodic systems in one dimension can host non-ergodic states, e.g. localized in position or momentum. Periodic quenches within localized phases yield Floquet eigenstates of the same nature, i.e. spatially localized or ballistic.…

Disordered Systems and Neural Networks · Physics 2023-09-15 Miguel Gonçalves , Pedro Ribeiro , Ivan M. Khaymovich

Topological band structures can be designed by subjecting lattice systems to time-periodic modulations, as was recently demonstrated in cold atoms and photonic crystals. However, changing the topological nature of Floquet Bloch bands from…

Quantum Gases · Physics 2017-09-22 A. Dauphin , D. -T. Tran , M. Lewenstein , N. Goldman

The impact of weak disorder and its spatial correlation on the topology of a Floquet system is not well understood so far. In this study, we investigate a model closely related to a two-dimensional Floquet system that has been realized in…

Quantum Physics · Physics 2024-06-26 Jun-Hui Zheng , Arijit Dutta , Monika Aidelsburger , Walter Hofstetter

We describe an explicit mechanism for the emergence of a dynamical holographic bulk from the structure of entanglement in a quantum state. We start with a generic system in complete isolation, assuming it has a classical limit involving…

High Energy Physics - Theory · Physics 2020-06-25 Josh Kirklin

We point out that even at the absolute zero of temperature environmental decoherence limits the destructive interference between time-reversed paths for an electron in a disordered metal, and thus causes the leading (`weak localization')…

Condensed Matter · Physics 2008-02-03 Maxim Vavilov , Vinay Ambegaokar

We dedicate this paper to the topological analysis of subwavelength solutions in Floquet metamaterials. This work should be considered as a basis for further investigation on whether topological properties of the bulk materials are linked…

Analysis of PDEs · Mathematics 2022-09-09 Habib Ammari , Thea Kosche

We present a concise review and perspective on noise-induced synchronization and coherence protection in open quantum systems, with emphasis on recent work involving coupled spins, oscillators, and anyons. When local environments exhibit…

Quantum Physics · Physics 2025-07-28 Eric R. Bittner , Bhavay Tyagi

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…

Statistical Mechanics · Physics 2023-06-09 Kazuki Yamamoto , Ryusuke Hamazaki