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We study two mobile bosonic impurities immersed in a one-dimensional optical lattice and interacting with a bosonic bath. We employ the exact diagonalization method for small periodic lattices to study stationary properties and dynamics. We…

Quantum Gases · Physics 2024-08-06 Felipe Isaule , Abel Rojo-Francàs , Bruno Juliá-Díaz

We experimentally observe many-body localization of interacting fermions in a one-dimensional quasi-random optical lattice. We identify the many-body localization transition through the relaxation dynamics of an initially-prepared charge…

We numerically examine a binary system of particles with repulsive interactions, where one species is driven by a rotating drive and the other is subjected either to a constant drive in a fixed direction or to a rotating drive that is out…

Soft Condensed Matter · Physics 2026-05-07 C. Reichhardt , C. J. O. Reichhardt

Many-body localized phases retain memory of their initial conditions in disordered interacting systems with unitary dynamics. The stability of the localized phase due to the breakdown of unitarity is of relevance to experiment in the…

Disordered Systems and Neural Networks · Physics 2024-03-19 József Mák , M. J. Bhaseen , Arijeet Pal

We study the disorder-to-order transition in a collection of polar self-propelled particles interacting through a distance dependent alignment interaction. Strength of the interaction, $a^{d}$ ($0<a<1$) decays with metric distance $d$…

Statistical Mechanics · Physics 2018-04-02 Sudipta Pattanayak , Shradha Mishra

Uncorrelated disorder in generalized 3D Lieb models gives rise to the existence of bounded mobility edges, destroys the macroscopic degeneracy of the flat bands and breaks their compactly-localized states. We now introduce a mix of order…

Disordered Systems and Neural Networks · Physics 2023-03-30 Jie Liu , Carlo Danieli , Jianxin Zhong , Rudolf A. Römer

We study the effects of local perturbations on the dynamics of disordered fermionic systems in order to characterize time-irreversibility. We focus on three different systems, the non-interacting Anderson and Aubry-Andr\'e-Harper (AAH-)…

Disordered Systems and Neural Networks · Physics 2017-07-12 Shreya Vardhan , Giuseppe De Tomasi , Markus Heyl , Eric J. Heller , Frank Pollmann

We consider the so-called frog model with random initial configurations. The dynamics of this model is described as follows: Some particles are randomly assigned on any site of the multidimensional cubic lattice. Initially, only particles…

Probability · Mathematics 2026-01-14 Naoki Kubota

We investigate quench dynamics across many-body localization (MBL) transition in an interacting one dimensional system of spinless fermions with aperiodic potential. We consider a large number of initial states characterized by the number…

Disordered Systems and Neural Networks · Physics 2022-06-14 Y. Prasad , Arti Garg

We systematically study the effect of disorder and interactions on a quasi-one dimensional diamond chain possessing flat bands. Disorder localizes all the single particle eigenstates, while at low disorder strengths we obtain weak flat-band…

Disordered Systems and Neural Networks · Physics 2020-12-24 Nilanjan Roy , Ajith Ramachandran , Auditya Sharma

The flow of motor proteins on a filamental track is modelled within the the framework of lattice driven diffusive systems. Motors, considered as hopping particles, perform a highly biased asymmetric exclusion process when bound to the…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Modjtaba Salehi , Mostafa Yadegari

We investigate dynamics of a single mobile impurity immersed in a bath of Anderson localized particles and focus on the regime of relatively strong disorder and interactions. In that regime, the dynamics of the system is particularly slow,…

Disordered Systems and Neural Networks · Physics 2024-03-07 Piotr Sierant , Titas Chanda , Maciej Lewenstein , Jakub Zakrzewski

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

Disordered Systems and Neural Networks · Physics 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

We investigate real-space localization in the few-particle regime of the XXZ spin-$1/2$ chain with a random magnetic field. Our investigation focuses on the time evolution of the spatial variance of non-equilibrium densities, as resulting…

Strongly Correlated Electrons · Physics 2017-04-13 Daniel Schmidtke , Robin Steinigeweg , Jacek Herbrych , Jochen Gemmer

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

The zero temperature localization of interacting electrons coupled to a two-dimensional quenched random potential, and constrained to move on a fluctuating one-dimensional string embedded in the disordered plane, is studied using a…

Strongly Correlated Electrons · Physics 2009-11-11 U. London , T. Giamarchi , D. Orgad

We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the…

Strongly Correlated Electrons · Physics 2009-11-13 Birger Horstmann , Juan Ignacio Cirac , Tommaso Roscilde

Bound states in the continuum (BICs), referring to spatially localized bound states with energies falling within the range of extended modes, have been extensively investigated in single-particle systems, leading to diverse applications in…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Na Sun , Weixuan Zhang , Hao Yuan , Xiangdong Zhang

We present a detailed numerical study of the dynamics of a disordered one-dimensional Bose-Einstein condensates in position and momentum space. We particularly focus on the region where non-linearity and disorder simultaneously effect the…

Mesoscale and Nanoscale Physics · Physics 2011-01-18 Chaitanya Joshi , Sankalpa Ghosh

We experimentally study the effects of coupling one-dimensional Many-Body Localized (MBL) systems with identical disorder. Using a gas of ultracold fermions in an optical lattice, we artifically prepare an initial charge density wave in an…