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A new paradigm of Anderson localization caused by correlations in the long-range hopping along with uncorrelated on-site disorder is considered which requires a more precise formulation of the basic localization-delocalization principles. A…

Disordered Systems and Neural Networks · Physics 2019-03-20 P. Nosov , I. M. Khaymovich , V. E. Kravtsov

We recapitulate the principle enabling the phenomenon of dynamic localization, and provide model calculations for ultracold atoms in driven optical lattices which indicate that the localization effect remains almost unaffected by interband…

Quantum Gases · Physics 2015-03-19 Stephan Arlinghaus , Matthias Langemeyer , Martin Holthaus

We investigate the quantum dynamics in a disordered electronic lattice with Fibonacci sequence of site energy and off-diagonal electron-phonon coupling within a sub-Ohmic bath by the time-dependent density matrix renormalization group…

Disordered Systems and Neural Networks · Physics 2017-04-26 Yao Yao

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko

In this work, we discuss a non-Hermitian system described via a one-dimensional single-particle tight-binding model, where the non-Hermiticity is governed by random nearest-neighbour tunnellings, such that the left-to-right and…

Disordered Systems and Neural Networks · Physics 2026-01-19 Aitijhya Saha , Debraj Rakshit

We show that the tails of the asymptotic density distribution of a quantum wave packet that localizes in the the presence of random or quasiperiodic disorder can be described by the diagonal term of the projection over the eingenstates of…

Quantum Gases · Physics 2014-01-28 Marco Moratti , Michele Modugno

We explore the impact of weak disorder on the dynamics of classical particles in a periodically oscillating lattice. It is demonstrated that the disorder induces a hopping process from diffusive to regular motion i.e. we observe the…

Chaotic Dynamics · Physics 2014-01-29 Thomas Wulf , Benno Liebchen , Peter Schmelcher

We demonstrate that all of the salient features of the Harper-Hofstadter model can be implemented with ultracold atoms trapped in a bichromatic ring-shaped lattice. Using realistic sinusoidal lattice potentials rather than assume the…

Quantum Gases · Physics 2019-09-24 Kunal K. Das , Jacob Christ

The random-dimer model is probably the most popular model for a one-dimensional disordered system where correlations are responsible for delocalization of the wave functions. This is the primary model used to justify the insulator-metal…

Quantum Gases · Physics 2010-04-27 Jean-François Schaff , Zehra Akdeniz , Patrizia Vignolo

We study the one-dimensional nearest neighbor tight binding model of electrons with independently distributed random hopping and no on-site potential (i.e. off-diagonal disorder with particle-hole symmetry, leading to sub-lattice symmetry,…

Disordered Systems and Neural Networks · Physics 2020-06-16 Akshay Krishna , R. N. Bhatt

Two models involving particles moving by ``hopping'' in disordered media are investigated: I) A model glass-forming liquid is investigated by molecular dynamics under (pseudo-) equilibrium conditions. ``Standard'' results such as mean…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas B. Schroeder

One-dimensional superlattices with periodic spatial modulations of onsite potentials or tunneling coefficients can exhibit a variety of properties associated with topology or symmetry. Recent developments of ring-shaped optical lattices…

Quantum Gases · Physics 2018-02-21 Yan He , Kevin Wright , Said Kouachi , Chih-Chun Chien

The existence of Anderson localization, characterized by vanishing diffusion due to strong disorder, has been demonstrated in numerous ways. A systematic approach based on the Anderson quantum model of the Fermi gas in random lattices that…

Disordered Systems and Neural Networks · Physics 2026-03-26 Václav Janiš

We use first-principles computational methods to examine hole trapping in organic molecular crystals. We present a computational scheme based on the tuning of the fraction of exact exchange in hybrid density functional theory to eliminate…

Materials Science · Physics 2011-06-21 Na Sai , Paul F. Barbara , Kevin Leung

We demonstrate the onset of strong on-site localization in a one-dimensional many-particle system. The localization is obtained by constructing, in an explicit form, a bounded sequence of on-site energies that eliminates resonant hopping…

Quantum Physics · Physics 2009-11-10 L. F. Santos , M. I. Dykman , M. Shapiro , F. M. Izrailev

We study the ground state of two-component bosonic atoms in a one-dimensional optical lattice. By applying an external field to the atoms at one end of lattice, the atoms are transported and becomes localized at that site. The holes are…

Quantum Physics · Physics 2015-06-16 H. T. Ng

We investigate quantum tunneling in a translation invariant chain of particles. The particles interact harmonically with their nearest neighbors, except for one bond, which is anharmonic. It is described by a symmetric double well…

Other Condensed Matter · Physics 2009-01-29 V. Fleurov , R. Schilling , B. Bayani

We consider the dynamics of rotational excitations placed on a single molecule in spatially disordered 1D, 2D and 3D ensembles of ultracold molecules trapped in optical lattices. The disorder arises from incomplete populations of optical…

Quantum Gases · Physics 2015-07-14 Tianrui Xu , Roman V. Krems

We numerically study the single particle localization and delocalization phenomena of an initially localized wave packet in the kicked Harper model (KHM) and Harper model subjected to quasi-periodic perturbation composed of $M-$modes. Both…

Disordered Systems and Neural Networks · Physics 2022-07-26 Hiroaki S. Yamada , Kensuke S. Ikeda

Quantum mechanical spreading of a particle hopping on tight binding lattices can be suppressed by the application of an external ac force, leading to periodic wave packet reconstruction. Such a phenomenon, referred to as dynamic…

Quantum Physics · Physics 2014-09-30 Stefano Longhi