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We study theoretically the superfluidity and stability of a Bose-Einstein condensate (BEC) whose interatomic scattering length is periodically modulated with optical Feshbach resonance. Our numerical study finds that the properties of this…

Quantum Gases · Physics 2013-02-08 Shao-Liang Zhang , Zheng-Wei Zhou , Biao Wu

The equilibrium and stability properties of a coupled two-component BEC is studied using a variational method and the one-dimensional model of Williams and collaborators. The variational parameters are the population fraction, translation…

Condensed Matter · Physics 2009-11-07 Chi-Yong Lin , E. J. V. de Passos , M. S. Hussein , Da-Shin Lee , A. F. R. de Toledo Piza

We study two-dimensional quantum turbulence in miscible binary Bose-Einstein condensates in either a harmonic trap or a steep-wall trap through the numerical simulations of the Gross-Pitaevskii equations. The turbulence is generated through…

We investigate the localized nonlinear matter waves of the quasi-two dimensional Bose-Einstein condensates with spatially modulated nonlinearity in harmonic potential. It is shown that the whole Bose-Einstein condensates, similar to the…

Quantum Gases · Physics 2015-05-14 Deng-Shan Wang , Xing-Hua Hu , Jiangping Hu , W. M. Liu

We study the impact of collisionally inhomogeneous binary and three body interaction on Bose-Einstein condensates (BECs) of a dilute gas in a bichromatic optical lattice. We observe that the localized matter wave density which decreases…

Quantum Gases · Physics 2014-12-05 J. B. Sudharsan , R. Radha , P. Muruganandam

We investigate some aspects of the Bose-Einstein condensation (BEC) of quantum gases in the presence of inhomogeneous conditions. We consider three-dimensional (3D) quantum gases trapped by an external potential when the temperature is…

Quantum Gases · Physics 2017-05-10 Francesco Delfino , Ettore Vicari

This paper presents a novel spatial discretisation method for the reliable and efficient simulation of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the corresponding nonlinear eigenvector problem. The method…

Numerical Analysis · Mathematics 2023-09-22 Daniel Peterseim , Johan Wärnegård , Christoph Zimmer

Based on a unified theoretical treatment of the 1D Bogoliubov-de Genes equations, the superfluidity phenomenon of the Bose-Einstein condensates (BEC) loaded into trapped optical lattice is studied. Within the perturbation regime, an…

We show the possibility of producing matter-wave switching devices by using Manakov interactions between matter wave solitons in two-species Bose-Einstein Condensates (BEC). Our results establish the experimental parameters for three…

Soft Condensed Matter · Physics 2016-08-16 Judit Babarro , María J. Paz-Alonso , Humberto Michinel , David N. Olivieri , José R. Salgueiro

We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting…

Quantum Gases · Physics 2020-07-01 Srivatsa B. Prasad , Brendan C. Mulkerin , Andrew M. Martin

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

Statistical Mechanics · Physics 2015-06-25 Juan Pablo Fernández , William J. Mullin

We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with small random width variation. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate. Our numerical solution…

Strongly Correlated Electrons · Physics 2007-05-23 S. -R. Eric Yang , Q-Han Park , J. Yeo

We investigate geometric resonances in Bose-Einstein condensates by solving the underlying time-dependent Gross-Pitaevskii equation for systems with two- and three-body interactions in an axially-symmetric harmonic trap. To this end, we use…

Quantum Gases · Physics 2013-03-08 Hamid Al-Jibbouri , Ivana Vidanovic , Antun Balaz , Axel Pelster

We study numerically the time-independent vector Gross-Pitaevskii equations (VGPEs) for ground states and time-dependent VGPEs with (or without) an external driven field for dynamics describing a multi-component Bose-Einstein condensate…

Condensed Matter · Physics 2017-01-10 Weizhu Bao

Generation of wave structures by a two-dimensional object (laser beam) moving in a two-dimensional two-component Bose-Einstein condensate with a velocity greater than both sound velocities of the mixture is studied by means of analytical…

Other Condensed Matter · Physics 2009-11-13 Yu. G. Gladush , A. M. Kamchatnov , Z. Shi , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

We study suppression of the collapse and stabilization of matter-wave solitons by means of time-periodic modulation of the effective nonlinearity, using the nonpolynomial Schroedinger equation (NPSE) for BEC trapped in a tight cigar-shaped…

Quantum Gases · Physics 2015-05-13 Giovanni Filatrella , Boris A. Malomed , Luca Salasnich

We systematically construct a series of vector solitary waves in harmonically trapped one-dimensional three-, four-, and five-component Bose-Einstein condensates. These stationary states are continued in chemical potentials from the…

Quantum Gases · Physics 2021-08-04 Wenlong Wang

We consider a gas of N(=6, 10, 15) Bose particles with hard-core repulsion, contained in a quasi-2D harmonic trap and subjected to an overall angular velocity $\Omega$ about the z-axis. Exact diagonalization of the $n\times n$ many-body…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. A. H. Ahsan , N. Kumar

In this work, we explore systematically various SO(2)-rotation-induced multiple dark-dark soliton breathing patterns obtained from stationary and spectrally stable multiple dark-bright and dark-dark waveforms in trapped one-dimensional,…

In this paper, we propose an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose--Einstein condensates (BECs) which is described by coupled Gross--Pitaevskii equations (CGPEs) with an angular…

Numerical Analysis · Mathematics 2013-06-10 Ming Ju , Qinglin Tang , Yanzhi Zhang