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We study two coupled 3D lattices, one of them featuring uncorrelated on-site disorder and the other one being fully ordered, and analyze how the interlattice hopping affects the localization-delocalization transition of the former and how…

Disordered Systems and Neural Networks · Physics 2020-04-20 Andre M. C. Souza , Guilherme M. A. Almeida , Eduardo R. Mucciolo

Localization phenomenon is an important research field in condensed matter physics. However, due to the complexity and subtlety of disordered syestems, new localization phenomena always emerge unexpectedly. For example, it is generally…

Disordered Systems and Neural Networks · Physics 2024-07-16 Tong Liu , Xingbo Wei , Youguo Wang

The generalization of the dimer model on a two-leg ladder is defined and investigated both, analytically and numerically. For the closed system we calculate the Landauer resistance analytically and found the presence of the point of…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Sedrakyan , A. Ossipov

We computationally investigate the active transport of tangentially-driven polymers with varying degrees of flexibility and activity in two-dimensional square lattices of obstacles. Tight periodic confinement induces notable conformational…

Soft Condensed Matter · Physics 2023-10-04 Mohammad Fazelzadeh , Ehsan Irani , Zahra Mokhtari , Sara Jabbari-Farouji

The question of whether interactions can break dynamical localization in quantum kicked rotor systems has been the subject of a long--standing debate. Here, we introduce an extended mapping from the kicked Lieb--Liniger model to a…

Quantum Gases · Physics 2026-03-24 Ang Yang , Zekai Chen , Yanliang Guo , Manuele Landini , Hanns-Christoph Nägerl , Lei Ying

Cellular renewing active matter - assemblies of proliferating and apoptotic cells - underlies tissue homeostasis, morphogenesis, and clonal competition. Previous work in one-dimensional periodic systems identified a fitness advantage…

Soft Condensed Matter · Physics 2025-12-02 Patrick Zimmer , Philip Bittihn , Yoav G. Pollack

We consider the dynamics of lattice random walks with resetting. The walker moving randomly on a lattice of arbitrary dimensions resets at every time step to a given site with a constant probability $r$. We construct a discrete renewal…

Statistical Mechanics · Physics 2022-11-01 Debraj Das , Luca Giuggioli

In reconstituting k-mer models, extended objects which occupy several sites on a one dimensional lattice, undergo directed or undirected diffusion, and reconstitute -when in contact- by transferring a single monomer unit from one k-mer to…

Statistical Mechanics · Physics 2016-08-02 Amit Kumar Chatterjee , Bijoy Daga , P. K. Mohanty

We discuss a two-dimensional system under the perturbation of a Moire potential, which takes the same geometry and lattice constant as the underlying lattices but mismatches up to relative rotation. Such a self-dual model belongs to the…

Quantum Gases · Physics 2019-10-17 Biao Huang , W. Vincent Liu

We numerically study the possibility of many-body localization transition in a disordered quantum dimer model on the honeycomb lattice. By using the peculiar constraints of this model and state-of-the-art exact diagonalization and time…

Disordered Systems and Neural Networks · Physics 2021-02-24 Francesca Pietracaprina , Fabien Alet

We study localization properties of electronic states in one-dimensional lattices with nearest-neighbour interaction. Both the site energies and the hopping amplitudes are supposed to be of arbitrary form. A few cases are considered in…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Tessieri , F. M. Izrailev

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 advances in spin-dependent optical lattices [Meng et al., Nature \textbf{615}, 231 (2023)] have enabled the experimental implementation of two superimposed three-dimensional lattices, presenting new opportunities to investigate…

Quantum Gases · Physics 2025-04-04 Ce Wang , Chao Gao , Zhe-Yu Shi

Competing nonlinearities, such as the cubic (Kerr) and quintic nonlinear terms whose strengths are of opposite signs (the coefficients in front of the nonlinearities), exist in various physical media (in particular, in optical and…

Pattern Formation and Solitons · Physics 2019-10-23 Liangwei Zeng , Jianhua Zeng

We investigate the quantum dynamics of a one-dimensional tight-binding lattice driven by a spatially quadratic and time-periodic potential. Both Hermitian ($J_1 = J_2$) and non-Hermitian ($J_1 \neq J_2$) hopping regimes are analyzed. Within…

Quantum Physics · Physics 2025-12-15 J. Cao , H. Shen , R. Wang , X. Z. Zhang

We study a two-dimensional tight-binding lattice for excitons with on-site disorder, coupled to a thermal environment at infinite temperature. The disorder acts to localise an exciton spatially, while the environment generates dynamics…

Statistical Mechanics · Physics 2014-04-23 Sam Genway , Igor Lesanovsky , Juan P. Garrahan

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. The associated transition is of particular interest, since it occurs not only in…

The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are…

Pattern Formation and Solitons · Physics 2015-05-19 A. Maluckov , Lj. Hadzievski , B. A. Malomed

Here we investigate how the positions of a condensed phase can be controlled by using concentration gradients of a regulator that influences phase separation. We consider a mean field model of a ternary mixture where a concentration…

Soft Condensed Matter · Physics 2018-08-15 Samuel Krüger , Christoph A. Weber , Jens-UweSommer , Frank Jülicher

Exploring the deep insights into localization, disorder, and wave transport in non-Hermitian systems is an emergent area of research of relevance in different areas of physics. Engineered photonic lattices, with spatial regions of optical…

Optics · Physics 2025-04-10 Stefano Longhi