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Subsequent to the ideas presented in our previous papers [J.Phys.: Condens. Matter {\bf 14} (2002) 13777 and Eur. Phys. J. B {\bf 42} (2004) 529], we discuss here in detail a new analytical approach to calculating the phase-diagram for the…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. N. Kuzovkov , W. von Niessen

We theoretically study the propagation of light through a cold atomic medium, where the effects of motion, laser intensity, atomic density, and polarization can all modify the properties of the scattered light. We present two different…

Quantum Physics · Physics 2016-08-24 Bihui Zhu , John Cooper , Jun Ye , Ana Maria Rey

In two dimensional disordered lattices, presence of interaction makes particles less localized than the non-interacting ones within the range of disorder strength $W \le 4$ and interaction strength $V \le 4$. If the interaction strength is…

Disordered Systems and Neural Networks · Physics 2018-08-21 Tirthaprasad Chattaraj

We explore the potential of a static electric field to induce Anderson localization of light in a large three-dimensional (3D) cloud of randomly distributed, immobile atoms with a degenerate ground state (total angular momentum $J_g = 0$)…

Disordered Systems and Neural Networks · Physics 2019-04-04 S. E. Skipetrov , I. M. Sokolov

In these proceedings, we first summarize some general properties of phase transitions in the presence of quenched disorder, with emphasis on the following points: the need to distinguish typical and averaged correlations, the possible…

Disordered Systems and Neural Networks · Physics 2008-03-12 Cecile Monthus , Thomas Garel

We investigate the dynamics of a single tracer particle performing Brownian motion in a two-dimensional course of randomly distributed hard obstacles. At a certain critical obstacle density, the motion of the tracer becomes anomalous over…

Soft Condensed Matter · Physics 2010-11-19 Teresa Bauer , Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

We propose a scheme for two-dimensional (2D) atom localization in a four-level tripod system under an influence of two orthogonal standing-wave fields. Position information of the atom is retained in the atomic internal states by an…

Atomic Physics · Physics 2012-09-17 Vladimir Ivanov , Yuri Rozhdestvensky

Deflection of atoms in \Lambda-type configuration passing through two crossed standing light waves is proposed for probing and visualization of atomic superposition states. For this goal, we use both the large-dispersive and Raman-resonant…

Quantum Physics · Physics 2013-07-23 Gor A. Abovyan , Gagik P. Djotyan , Gagik Yu. Kryuchkyan

We study numerically the disorder-induced localization-delocalization phase transitions that occur for mass and spring constant disorder in a three-dimensional cubic lattice with harmonic couplings. We show that, while the phase diagrams…

Disordered Systems and Neural Networks · Physics 2012-10-02 Sebastian D. Pinski , Walter Schirmacher , Terry Whall , Rudolf A. Römer

Localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by the quasi-periodic harmonic oscillations of $M$ colors is investigated systematically, which has been partly reported by the…

Disordered Systems and Neural Networks · Physics 2022-05-11 Hiroaki S. Yamada , Kensuke S. Ikeda

Diffusion has been widely used to describe a random walk of particles or waves, and it requires only one parameter -- the diffusion constant. For waves, however, diffusion is an approximation that disregards the possibility of interference.…

Optics · Physics 2014-01-23 Alexey G. Yamilov , Raktim Sarma , Brandon Redding , Ben Payne , Heeso Noh , Hui Cao

In three dimensions, dipole-dipole interactions which alter atomic level shifts and spontaneous decay rates only persist over distances comparable to the wavelength of the emitted light. In this paper we show that it is possible to…

Quantum Physics · Physics 2025-01-30 Nicholas Furtak-Wells , Benjamin Dawson , Thomas Mann , Gin Jose , Almut Beige

Light localization by scattering is a fundamental mechanism driving phase transitions of wave transport in disordered systems. Characterizing the localization length in scattering systems is crucial yet challenging. In this Letter, we…

According to the scaling theory of localization, all quantum electronic states are localized in two-dimensional (2D) systems. One consequence of the theory is that there is no quantum percolation transition in 2D. However, in a real system…

Disordered Systems and Neural Networks · Physics 2007-05-23 Junren Shi , Song He , X. C. Xie

We predict a photon Hall effect in the optical cross-section of atomic hydrogen, which is caused by the interference between an electric quadrupole transition and an electric dipole transition from the ground state to $3D_{3/2}$ and…

Optics · Physics 2013-08-09 Bart Van Tiggelen , Geert L. J. A. Rikken , Andreas Nussle

Schemes for two-dimensional (2D) and three-dimensional (3D) atomic states localization in a five level M-type system using standing-wave laser fields are presented. In the upper two levels of the system we see a `coupled' localization for…

Atomic Physics · Physics 2015-06-09 Nilesh Chaudhari , Amarendra K. Sarma

Electron transport through disordered quasi one-dimensional quantum systems is studied. Decoherence is taken into account by a spatial distribution of virtual reservoirs, which represent local interactions of the conduction electrons with…

Quantum Physics · Physics 2014-02-06 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

It is generally assumed that the detection of a single photon as part of an interference pattern erases all possible which-path information. However, recent insights suggest that weak interactions can provide non-trivial experimental…

Quantum Physics · Physics 2026-03-31 Ryuya Fukuda , Masataka Iinuma , Yuto Matsumoto , Holger F. Hofmann

Localization phenomena during transport are typically driven by disordered scalar potentials. Here, we predict a universal pseudospin localization phenomenon induced by a disordered vectorial potential and demonstrate it experimentally in…

Optics · Physics 2025-01-07 Shani Izhak , Aviv Karnieli , Ofir Yesharim , Shai Tsesses , Ady Arie

We present the first experimental evidence for the existence of strongly localized photonic modes due to random two dimensional fluctuations in the dielectric constant. In one direction, the modes are trapped by ordered Bragg reflecting…

Mesoscale and Nanoscale Physics · Physics 2010-04-20 Y. Kodriano , D. Gershoni , E. Linder , B. Shapiro , M. E. Raikh , J. P. Reithmaier , S. Reitzenstein , A. Löffler , A. Forchel