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By direct numerical simulation of the time-dependent Gross-Pitaevskii equation using the split-step Fourier spectral method we study different aspects of the localization of a cigar-shaped interacting binary (two-component) Bose-Einstein…

Quantum Gases · Physics 2015-05-18 Yongshan Cheng , S. K. Adhikari

By numerical simulation of the time-dependent Gross-Pitaevskii equation we show that a weakly interacting or noninteracting Bose-Einstein condensate (BEC) vortex can be localized in a three-dimensional bichromatic quasi-periodic…

Quantum Gases · Physics 2015-05-18 S. K. Adhikari

By direct numerical simulation of the time-dependent Gross-Pitaevskii equation we study different aspects of the localization of a non-interacting ideal Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic…

Quantum Gases · Physics 2015-05-13 S. K. Adhikari , L. Salasnich

We analyze the localization of a Bose-Einstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic optical-lattice potential by numerically solving the 1D Gross-Pitaevskii equation (1D GPE). We first derive the 1D GPE from the…

Quantum Gases · Physics 2016-01-26 L. Salasnich , S. K. Adhikari

By direct numerical simulation and variational solution of the Gross-Pitaevskii equation, we studied the stationary and dynamic characteristics of a cigar-shaped, localized, collisionally inhomogeneous Bose-Einstein condensate trapped in a…

Quantum Gases · Physics 2015-05-27 Yongshan Cheng , S. K. Adhikari

By numerical and variational solution of the Gross-Pitaevskii equation, we studied the localization of a noninteracting and weakly-interacting Bose-Einstein condensate (BEC) in a disordered cold atom lattice and a speckle potential. In the…

Quantum Gases · Physics 2015-05-19 Yongshan Cheng , S. K. Adhikari

We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasi-periodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external…

Quantum Gases · Physics 2020-09-07 Zhen-Xia Niu , Yonghang Tai , Junsheng Shi , Wei Zhang

We study the localization of a noninteracting and weakly interacting Bose-Einstein condensate with spin-orbit coupling loaded in a quasiperiodic bichromatic optical lattice potential using the numerical solution and variational…

Quantum Gases · Physics 2015-06-19 Yongshan Cheng , Gaohui Tang , S. K. Adhikari

We study the localization of a cigar-shaped super-fluid Bose-Fermi mixture in a quasi-periodic bichromatic optical lattice (OL) for inter-species attraction and intra-species repulsion. The mixture is described by the Gross-Pitaevskii…

Quantum Gases · Physics 2015-05-30 Yongshan Cheng , S. K. Adhikari

By numerical simulation and variational analysis of the Gross-Pitaevskii equation we study the localization, with an exponential tail, of a dipolar Bose-Einstein condensate (DBEC) of $^{52}$Cr atoms in a three-dimensional bichromatic…

Quantum Gases · Physics 2015-05-19 P. Muruganandam , R. Kishor Kumar , S. K. Adhikari

We present the eigenmodal analysis techniques enhanced towards calculations of optical and non-interacting Bose-Einstein condensate (BEC) modes formed by random potentials and localized by Anderson effect. The results are compared with the…

Quantum Gases · Physics 2019-03-04 Guanwen Ying , Guennadi Kouzaev

We consider the Gross-Pitaevskii (GP) equation in the presence of periodic and quasiperiodic superlattices to study cigar-shaped Bose-Einstein condensates (BECs) in such potentials. We examine spatially extended wavefunctions in the form of…

Pattern Formation and Solitons · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis

By numerical solution and variational approximation of the Gross-Pitaevskii equation, we studied the localization of a noninteracting and weakly-interacting Bose-Einstein condensate in a weakly perturbed optical lattice in one and three…

Quantum Gases · Physics 2015-06-03 Yongshan Cheng , S. K. Adhikari

We consider a Bose-Einstein condensate (BEC) loaded into a one-dimensional optical cavity under the combined action of an external potential and atom-cavity coupling with mutually incommensurate periods. Such configuration enables the…

Quantum Gases · Physics 2026-02-23 Pedro S. Gil , Vladimir V. Konotop

We investigate numerically the momentum density and phase maps $-$in coordinate and momentum space$-$ of a two dimensional Bose-Einstein condensate (BEC) excited by a moving red-detuned laser potential. The BEC is confined in a harmonic…

Quantum Gases · Physics 2021-07-27 Roger R. Sakhel , Asaad R. Sakhel , Humam B. Ghassib

We study localized modes in binary mixtures of Bose-Einstein condensates embedded in one-dimensional optical lattices. We report a diversity of asymmetric modes and investigate their dynamics. We concentrate on the cases where one of the…

Other Condensed Matter · Physics 2009-11-13 H. A. Cruz , V. A. Brazhnyi , V. V. Konotop , G. L. Alfimov , M. Salerno

We consider a Bose-Einstein condensate (BEC), which is characterized by long-range and anisotropic dipole-dipole interactions and vanishing s-wave scattering length, in a double-well potential. The properties of this system are investigated…

Quantum Gases · Physics 2015-05-14 M. Asad-uz-Zaman , D. Blume

We have performed a number of experiments with a Bose-Einstein condensate (BEC) in a one dimensional optical lattice. Making use of the small momentum spread of a BEC and standard atom optics techniques a high level of coherent control over…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J Hecker Denschlag , J E Simsarian , H Haeffner , C McKenzie , A Browaeys , D Cho , K Helmerson , S L Rolston , W D Phillips

We discuss typical experimental signatures for the Bose-Einstein condensation (BEC) of an ultracold Bose gas in an inhomogeneous optical lattice at finite temperature. Applying the Hartree-Fock-Bogoliubov-Popov formalism, we calculate…

Quantum Gases · Physics 2014-09-08 Ke-Ji Chen , Jingkun Wang , Wei Yi , Wei Zhang

We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed
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