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In a recent study, (Jain et al 2007 Phys. Rev. Lett. 99 190601), a symmetric exclusion process with time-dependent hopping rates was introduced. Using simulations and a perturbation theory, it was shown that if the hopping rates at two…

Statistical Mechanics · Physics 2008-11-17 Rahul Marathe , Kavita Jain , Abhishek Dhar

We study particle hopping on a two-leg ladder where a particle can jump to their immediate neighbours, one at a time, with rates that depend on the occupation of the departure site and a neighbouring site on the other leg. For specific…

Statistical Mechanics · Physics 2021-09-29 Indranil Mukherjee

Theory of weak localization is developed for two-dimensional holes in semiconductor heterostructures. Ballistic regime of weak localization where the backscattering occurs from few impurities is studied with account for anisotropic momentum…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 F. V. Porubaev , L. E. Golub

Anderson localization is known to be inevitable in one dimension for generic disordered models. Since localization leads to Poissonian energy level statistics, we ask if localized systems possess "additional" integrals of motion as well, so…

Disordered Systems and Neural Networks · Physics 2016-03-23 Ranjan Modak , Subroto Mukerjee , Emil A. Yuzbashyan , B. Sriram Shastry

Electron orbits are calculated in solitary two-dimensional axisymmetric electrostatic potential structures, typical of plasma electron holes, in order to establish the conditions for the particles to remain trapped. Analytic calculations of…

Space Physics · Physics 2020-08-10 I H Hutchinson

We investigate the scaling properties of the two-dimensional (2D) Anderson model of localization with purely off-diagonal disorder (random hopping). Using the transfer-matrix method and finite-size scaling we compute the infinite-size…

Disordered Systems and Neural Networks · Physics 2015-06-24 Andrzej Eilmes , Rudolf A. Roemer

We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical coordinates. We study the antagonistic interplay between…

Statistical Mechanics · Physics 2009-11-10 D. Brockmann , T. Geisel

We report on phenomenon of Anderson-type localization of walking solitons in optical lattices with random frequency modulation, manifested as dramatic enhancement of soliton trapping probability on lattice inhomogeneities with growth of the…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov Victor A. Vysloukh

We consider the one-dimensional partially asymmetric exclusion process with random hopping rates, in which a fraction of particles (or sites) have a preferential jumping direction against the global drift. In this case the accumulated…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. Juhasz , L. Santen , F. Igloi

We present and compare different versions of a simple particle pump-model that describes average directed current of repulsively interacting particles in a narrow channel, due to time-varying local potentials. We analyze the model on…

Statistical Mechanics · Physics 2015-09-16 Debasish Chaudhuri

We study Anderson localisation on high-dimensional graphs with spatial structure induced by long-ranged but distance-dependent hopping. To this end, we introduce a class of models that interpolate between the short-range Anderson model on a…

Disordered Systems and Neural Networks · Physics 2026-04-22 Bibek Saha , Sthitadhi Roy

We provide a complete thermodynamic solution of a 1D hopping model in the presence of a random potential by obtaining the density of states. Since the partition function is related to the density of states by a Laplace transform, the…

Quantitative Methods · Quantitative Biology 2009-11-13 Gelio Alves , Yi-Kuo Yu

We consider the one-dimensional partially asymmetric zero range process where the hopping rates as well as the easy direction of hopping are random variables. For this type of disorder there is a condensation phenomena in the thermodynamic…

Statistical Mechanics · Physics 2009-11-11 Róbert Juhász , Ludger Santen , Ferenc Iglói

We show that, in contrast to immediate intuition, Anderson localization of noninteracting particles induced by a disordered potential in free space can increase (i.e., the localization length can decrease) when the particle energy…

Quantum Gases · Physics 2012-06-19 Marie Piraud , Alain Aspect , Laurent Sanchez-Palencia

We consider the Bose-Hubbard model with particle losses at one lattice site. For the non-interacting case, we find that half of the bosons of an initially homogeneous particle distribution, are not affected by dissipation that only acts on…

Quantum Gases · Physics 2015-06-04 Kosmas Kepesidis , Michael J. Hartmann

If the number of lattice sites is odd, a quantum particle hopping on a bipartite lattice with random hopping between the two sublattices only is guaranteed to have an eigenstate at zero energy. We show that the localization length of this…

Disordered Systems and Neural Networks · Physics 2009-11-07 P. W. Brouwer , E. Racine , A. Furusaki , Y. Hatsugai , Y. Morita , C. Mudry

We numerically study the expansion dynamics of ultracold atoms in a one-dimensional disordered potential in the presence of a weak position measurement of the atoms. We specifically consider this position measurement to be realized by a…

Quantum Gases · Physics 2015-06-05 Boris Nowak , Jami J. Kinnunen , Murray J. Holland , Peter Schlagheck

We study the behavior of a quantum particle, trapped in localized potential, when the trapping potential starts suddenly to move with constant velocity. In one dimension we have reproduced the results obtained by Granot and Marchewka, Ref.…

Quantum Physics · Physics 2019-09-27 Miguel Ahumada-Centeno , Paolo Amore , Francisco M Fernández , Jesus Manzanares

Harnessing multimode waves allows high information capacity through modal expansions. Although passive multimode devices including waveguides, couplers, and multiplexers have been demonstrated for broadband responses in momentum or…

Optics · Physics 2017-11-15 Sunkyu Yu , Xianji Piao , Namkyoo Park

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

Disordered Systems and Neural Networks · Physics 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz
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