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Related papers: Reentrant delocalization transition in one-dimensi…

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In their Letter[Phys. Rev. Lett. 126, 106803 (2021)], the authors found an interesting reentrant localization phenomenon in a one-dimensional dimerized lattice with quasiperiodic disorder, i.e., the system undergoes a second localization…

Disordered Systems and Neural Networks · Physics 2021-06-16 Longyan Gong , Hui Lu , Weiwen Cheng

Systems with quasiperiodic disorder are known to exhibit localization transition in low dimension. After a critical strength of disorder all the states of the system become localized, thereby ceasing the particle motion in the system.…

Quantum Gases · Physics 2021-03-17 Shilpi Roy , Tapan Mishra , B. Tanatar , Saurabh Basu

In classical mechanics, a particle cannot escape from an unbounded potential well. Naively, one would expect a similar result to hold in wave mechanics, since high barriers make tunneling difficult. However, this is not always the case and…

Optics · Physics 2025-04-10 Stefano Longhi

Anderson localization, i.e. the suppression of diffusion in lattices with random or incommensurate disorder, is a fragile interference phenomenon which is spoiled out in the presence of dephasing effects or fluctuating disorder. As a…

Optics · Physics 2025-04-10 Stefano Longhi

Reentrant localization transitions, that is, the transitions of a portion of the eigenspectrum from localized to critical and then again to localized as the disorder strength is increased, have been recently unveiled in various…

Mesoscale and Nanoscale Physics · Physics 2025-01-29 Thomas F. Allard , Guillaume Weick

Common belief, confirmed by existing experiments, is that arbitrarily weak disorder should lead to spatial localization of eigenmodes of scalar wave equations when wave propagation is two-dimensional (2D). We predict that contrary to this…

Disordered Systems and Neural Networks · Physics 2026-04-28 Sébastien Lucas , Christian Miniatura , Sergey E. Skipetrov

A re-entrant localization transition has been predicted recently in a one-dimensional quasiperiodic lattice with dimerized hopping between the nearest-neighbour sites (Phys. Rev. Lett. {\bf 126} 106803 (2021)) \cite{PhysRevLett.126.106803}.…

Disordered Systems and Neural Networks · Physics 2022-06-22 Shilpi Roy , Sourav Chattopadhyay , Tapan Mishra , Saurabh Basu

We study the localization and scattering of a single photon in a waveguide coupled to qubit arrays with quasiperiodic spacings. As the quasiperiodic strength increases, localized subradiant states with extremely long lifetime appear around…

Quantum Physics · Physics 2026-01-30 Xinyin Zhang , Yongguan Ke , Zhengzhi Peng , Zuorui Chen , Wenjie Liu , Li Zhang , Chaohong Lee

We investigate the localization properties of a one-dimensional bichromatic optical lattice in the tight binding regime, by discussing how exponentially localized states emerge upon changing the degree of commensurability. We also review…

Other Condensed Matter · Physics 2015-02-26 Michele Modugno

Quasicrystals are ubiquitous in nature. Beyond crystalline solids, they can be created as optically induced or technologically fabricated structures in photonic and phononic systems, as potentials for cold atoms and Bose-Einstein…

Moire lattices consist of two identical periodic structures overlaid with a relative rotation angle. Present even in everyday life, moire lattices have been also produced, e.g., with coupled graphene-hexagonal boron nitride monolayers,…

The localization of waves in non-periodic media is a universal phenomenon, occurring in a variety of different quantum and classical systems, including condensed-matter, Bose-Einstein condensates in optical lattices, quantum chaotic…

Disordered Systems and Neural Networks · Physics 2010-12-09 Y. Lahini , R. Pugatch , F. Pozzi , M. Sorel , R. Morandotti , N. Davidson , Y. Silberberg

We study quantum dynamics of a wave packet on a class of one dimensional decorated aperiodic lattices, described within a tight binding formalism. We look for the possibility of finding extended single particle states even in the absence of…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Sougata Biswas , Arunava Chakrabarti

Recent studies have revealed reentrant localization transitions in quasi-periodic one-dimensional lattices, where the competition between dimerized hopping and staggered disorder plays a central role. Yet the extent to which such reentrant…

Disordered Systems and Neural Networks · Physics 2025-09-30 Pei-Jie Chang , Dong Ruan , Gui-Lu Long

A mixture of light and heavy atoms is considered. We study the kinetics of the light atoms, scattered by the heavy ones, the latter undergoing slow diffusive motion. In three-dimensional space we claim the existence of a crossover region…

Disordered Systems and Neural Networks · Physics 2015-01-06 E. Kogan

Theoretical prediction of antilocalization of light in ultracold atomic gas samples, in the weak localization regime, is reported. Calculations and Monte-Carlo simulations show that, for selected spectral ranges in the vicinity of atomic…

Quantum Physics · Physics 2009-11-10 D. V. Kupriyanov , I. M. Sokolov , M. D. Havey

Critical behavior of solitonic waveforms of Bose-Einstein condensates in optical lattices (OL) has been studied in the framework of continuous mean-field equation. In 2D and 3D OLs bright matter-wave solitons undergo abrupt delocalization…

Soft Condensed Matter · Physics 2009-11-10 B. B. Baizakov , M. Salerno

Random defects do not constitute the unique source of electron localization in two dimensions. Lattice quasidisorder generated from two inplane superimposed rotated, main and secondary, square lattices, namely monolayers where moir\'e…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Christian Madroñero , Gustavo Alexis Dominguez Castro , Rosario Paredes

We study experimentally light localization at phase-slip waveguides and at the intersection of phase-slips in a two-dimensional (2D) square photonic lattice. Such system allows to observe a variety of effects, including the existence of…

Pattern Formation and Solitons · Physics 2015-05-18 Alexander Szameit , Mario I. Molina , Matthias Heinrich , Felix Dreisow , Robert Keil , Stefan Nolte , Yuri S. Kivshar

Light localization and intensity enhancement in a woodpile layer-by-layer photonic crystal, whose interlayer distance along the propagation direction is gradually varied, has been theoretically predicted and experimentally demonstrated. The…

Optics · Physics 2017-07-17 Zeki Hayran , Hamza Kurt , Kestutis Staliunas
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