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An optical speckle potential is used to investigate the static and dynamic properties of a Bose-Einstein condensate in the presence of disorder. For strong disorder the condensate is localized in the deep wells of the potential. With…

Other Condensed Matter · Physics 2009-11-10 J. E. Lye , L. Fallani , M. Modugno , D. Wiersma , C. Fort , M. Inguscio

We investigate the one-dimensional expansion of a Bose-Einstein condensate in an optical guide in the presence of a random potential created with optical speckles. With the speckle the expansion of the condensate is strongly inhibited. A…

Other Condensed Matter · Physics 2015-02-26 C. Fort , L. Fallani , V. Guarrera , J. Lye , M. Modugno , D. S. Wiersma , M. Inguscio

The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlation length of the disorder is smaller than the healing length…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

We investigate the dynamical instability of Bose-Einstein condensates (BECs) with higher-order interactions immersed in an optical lattice with weak driving harmonic potential. For this, we compute both analytically and numerically a…

Pattern Formation and Solitons · Physics 2015-06-19 E. Wamba , S. Sabari , K. Porsezian , A. Mohamadou , T. C. Kofané

We investigate the combined effects of weak disorder and a two-dimensional (2D) optical lattice on the collective excitations of a harmonically trapped Bose-Einstein condensate (BEC) at zero temperature. Accordingly, we generalize the…

Quantum Gases · Physics 2015-05-18 Ying Hu , Zhaoxin Liang , Bambi Hu

We study the non-equilibrium evolution of binary Bose-Einstein condensates in the presence of weak random potential with a Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a…

Disordered Systems and Neural Networks · Physics 2021-12-28 Abdelaali Boudjemaa

We study the expansion of a Bose-Einstein condensate trapped in a combined optical-lattice and axially-symmetric harmonic potentials using the numerical solution of the mean-field Gross-Pitaevskii equation. First, we consider the expansion…

Soft Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

We theoretically study the influence of weak interactions on the diffusive expansion of a Bose-Einstein condensate in a three-dimensional random potential. For this purpose we develop a perturbative approach and calculate analytically the…

Quantum Gases · Physics 2009-06-28 N. Cherroret , S. E. Skipetrov

We investigate the elastic scattering of Bose-Einstein condensates at shallow periodic and disorder potentials. We show that the collective scattering of the macroscopic quantum object couples to internal degrees of freedom of the…

We investigate the properties of a three-dimensional homogeneous dipolar Bose gas in a weak random potential with a Gaussian correlation function at finite temperature. Using the Bogoliubov theory (beyond the mean field), we calculate the…

Disordered Systems and Neural Networks · Physics 2015-08-26 Abdelaali Boudjemaa

We study dynamical behaviors of the weakly interacting Bose-Einstein condensate in the one-dimensional optical lattice with an overall double-well potential by solving the time-dependent Gross-Pitaevskii equation. It is observed that the…

Quantum Gases · Physics 2022-03-23 Hanlei Zheng , Qiang Gu

We study the effect of lower dimensional geometry on the frequencies of the collective oscillations of a Bose-Einstein condensate confined in a trap. To study the effect of two dimensional geometry we consider a pancake-shaped condensate…

Other Condensed Matter · Physics 2009-11-10 Arup Banerjee

We study the dissipation of the centre of mass oscillation of a harmonically confined condensate in the presence of a disorder potential. An extension of the Generalized Harmonic Theorem allows one to formulate the dynamics from the point…

Quantum Gases · Physics 2014-03-14 Z. Wu , E. Zaremba

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

We investigate properties of two-dimensional bilayered dipolar Bose condensed gases in a weak random potential with Gaussian correlation at zero temperature. Here the dipoles are oriented perpendicularly to the layers and in…

Disordered Systems and Neural Networks · Physics 2020-09-01 Abdelaali Boudjemaa , Redaouia Keltoum

We present a detailed numerical study of the effect of a disordered potential on a confined one-dimensional Bose-Einstein condensate, in the framework of a mean-field description. For repulsive interactions, we consider the Thomas-Fermi and…

Other Condensed Matter · Physics 2009-11-11 Eric Akkermans , Sankalpa Ghosh , Ziad Musslimani

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

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

The emergence of a Bose-glass region in a quasi one-dimensional Bose-Einstein-condensed gas in a harmonic trapping potential with an additional delta-correlated disorder potential at zero temperature is studied using three approaches. At…

Quantum Gases · Physics 2016-06-03 Tama Khellil , Antun Balaz , Axel Pelster

We study the stationary and dynamical properties of three-dimensional trapped Bose-Einstein condensates with attractive interactions subjected to a random potential. To this end, a variational method is applied to solve the underlying…

Quantum Gases · Physics 2024-11-27 Madjda Kamel , Abdelaali Boudjemaa
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