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Related papers: Dephasing-induced mobility edges in quasicrystals

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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…

Disordered Systems and Neural Networks · Physics 2020-01-01 Matteo M. Wauters , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro , Lorenzo Privitera

In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive…

Disordered Systems and Neural Networks · Physics 2017-02-22 I. Yusipov , T. Laptyeva , S. Denisov , M. Ivanchenko

Quantum transport and localization are fundamental concepts in condensed matter physics. It is commonly believed that in one-dimensional systems, the existence of mobility edges is highly dependent on disorder. Recently, there has been a…

We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice. The fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted…

Quantum Physics · Physics 2021-03-03 Li Zhang , Yongguan Ke , Wenjie Liu , Chaohong Lee

We demonstrate the existence of generalized Aubry-Andr\'e self-duality in a class of non-Hermitian quasi-periodic lattices with complex potentials. From the self-duality relations, the analytical expression of mobility edges is derived.…

Disordered Systems and Neural Networks · Physics 2020-07-14 Tong Liu , Hao Guo , Yong Pu , Stefano Longhi

We investigate the impact of decoherence and static disorder on the dynamics of quantum particles moving in a periodic lattice. Our experiment relies on the photonic implementation of a one-dimensional quantum walk. The pure quantum…

Quantum Physics · Physics 2011-11-15 A. Schreiber , K. N. Cassemiro , V. Potoček , A. Gábris , I. Jex , Ch. Silberhorn

In a dissipationless linear lattice, spatial disorder or incommensurate modulation induce localization of the lattice eigenstates and block spreading of wave packets. Additionally, incommensurate arrays allow for the metal-insulator…

Chaotic Dynamics · Physics 2014-12-02 T. V. Laptyeva , S. V. Denisov , G. V. Osipov , M. V. Ivanchenko

We show that the magnetization of a single `qubit' spin weakly coupled to an otherwise isolated disordered spin chain exhibits periodic revivals in the localized regime, and retains an imprint of its initial magnetization at infinite time.…

Strongly Correlated Electrons · Physics 2015-05-06 R. Vasseur , S. A. Parameswaran , J. E. Moore

We investigate localization properties in a two-coupled uniform chains with quasiperiodic modulation on interchain coupling strength. We demonstrate that this ladder is equivalent to a Aubry-Andre (AA) chain when two legs are symmetric.…

Disordered Systems and Neural Networks · Physics 2021-06-24 R. Wang , X. M. Yang , Z. Song

Uncorrelated disorder potential in one-dimensional lattice definitely induces Anderson localization, while quasiperiodic potential can lead to both localized and extended phases, depending on the potential strength. We investigate the…

Disordered Systems and Neural Networks · Physics 2021-09-27 R. Wang , K. L. Zhang , Z. Song

In dissipative bosonic systems, dephasing is typically expected to accelerate relaxation and suppress coherent dynamics. However, we show that in networks of coherently coupled bosonic modes with non-uniform local dissipation, the presence…

Quantum Physics · Physics 2025-08-14 Stefano Longhi

In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction $\beta$ of the sites being disordered, while the rest remain clean. It is shown that…

Disordered Systems and Neural Networks · Physics 2024-04-24 Daniil Kochergin , Ivan M. Khaymovich , Olga Valba , Alexander Gorsky

The intricate relationship between electrons and the crystal lattice is a linchpin in condensed matter, traditionally described by the Fr\"ohlich model encompassing the lowest-order lattice-electron coupling. Recently developed quantum…

Strongly Correlated Electrons · Physics 2024-07-02 Yoel Zimmermann , Joonas Keski-Rahkonen , Anton M. Graf , Eric J. Heller

We consider diagonal disordered one-dimensional Anderson models with an underlying periodicity. We assume the simplest periodicity, i.e., we have essentially two lattices, one that is composed of the random potentials and the other of…

Disordered Systems and Neural Networks · Physics 2009-10-30 Michael Hilke

In the absence of decoherence the current of fermionic particles across a finite lattice connecting two reservoirs (leads) with different chemical potentials is known to be ballistic. It is also known that decoherence typically suppresses…

Quantum Physics · Physics 2026-04-15 Andrey R. Kolovsky

We analyze the unusual slow dynamics that emerges in the bad metal delocalized phase preceding the Many-Body Localization transition by using single-particle Anderson Localization on the Bethe lattice as a toy model of many-body dynamics in…

Statistical Mechanics · Physics 2017-12-06 Giulio Biroli , Marco Tarzia

Results of large-scale numerical simulations are reported on the Anderson localization in a two-dimensional square lattice tight-binding model with random flux. Localization lengths, fluctuations of the conductance, and the density of…

Mesoscale and Nanoscale Physics · Physics 2009-01-23 A. Furusaki

We study the mobility edges in a variety of one-dimensional tight binding models with slowly varying quasi-periodic disorders. It is found that the quasi-periodic disordered models can be approximated by an ensemble of periodic models. The…

Disordered Systems and Neural Networks · Physics 2021-07-19 Qiyun Tang , Yan He

We pinpoint the spectral decomposition for the Anderson tight-binding model with an unbounded random potential on the Bethe lattice of sufficiently large degree. We prove that there exist a finite number of mobility edges separating…

Probability · Mathematics 2025-03-13 Amol Aggarwal , Patrick Lopatto

The decoherence of quantum states defines the transition between the quantum world and classical physics. Decoherence or, analogously, quantum mechanical collapse events pose fundamental questions regarding the interpretation of quantum…

Mesoscale and Nanoscale Physics · Physics 2021-09-24 P. Bredol , H. Boschker , D. Braak , J. Mannhart