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Bose-Einstein condensates (BECs) confined on shell-shaped surfaces have been proposed as a platform for exploring many nontrivial quantum phenomena on curved spaces. However, as the shell-shaped trapping potential generated with the…

Quantum Gases · Physics 2022-12-21 Fan Jia , Zerong Huang , Liyuan Qiu , Rongzi Zhou , Yangqian Yan , Dajun Wang

We report on the creation of a two-dimensional Bose-Einstein condensate of cesium atoms in a gravito-optical surface trap. The condensate is produced a few micrometer above a dielectric surface on an evanescent-wave atom mirror. After…

Soft Condensed Matter · Physics 2007-05-23 D. Rychtarik , B. Engeser , H. -C. Nägerl , R. Grimm

We explore the effect of mutual gravitational interaction between ultra-cold gas atoms on the dynamics of Bose-Einstein condensates (BEC). Small amplitude oscillation of BEC is studied by applying variational technique to reduce the…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Patrick Das Gupta

Motivated by the recent achievement of space-based Bose-Einstein condensates (BEC) with ultracold alkali-metal atoms under microgravity and by the proposal of bubble traps which confine atoms on a thin shell, we investigate the BEC…

Quantum Gases · Physics 2019-10-22 A. Tononi , L. Salasnich

We present a surface trap which allows for studying the coherent interaction of ultracold atoms with evanescent waves. The trap combines a magnetic Joffe trap with a repulsive evanescent dipole potential. The position of the magnetic trap…

Quantum Physics · Physics 2015-05-13 Helmar Bender , Philippe Courteille , Claus Zimmermann , Sebastian Slama

We demonstrate a novel optical trapping scheme for ultracold atoms. Using a combination of evanescent wave, standing wave, and magnetic potentials we create a deeply 2D Bose-Einstein condensate (BEC) at a few microns from a glass surface.…

Other Condensed Matter · Physics 2013-05-29 J. I. Gillen , W. S. Bakr , A. Peng , P. Unterwaditzer , S. Foelling , M. Greiner

Starting from the standard three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a variational approximation, we derive an effective one-dimensional nonpolynomial Schr\"odinger equation (1D-NPSE) governing the axial dynamics of…

Quantum Gases · Physics 2020-01-08 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

Dynamics of the repulsive Bose-Einstein condensate (BEC) in a double-well trap is explored within the 3D time-dependent Gross-Pitaevskii equation. The model avoids numerous common approximations (two-mode treatment, time-space…

Quantum Gases · Physics 2014-02-04 V. O. Nesterenko , A. N. Novikov , E. Suraud

The dynamics of weakly interacting three-dimensional Bose-Einstein condensates (BECs), trapped in external axially symmetric plus anharmonic distortion potential are studied. Within a variational approach and time-dependent Gross-Pitaevskii…

Quantum Gases · Physics 2022-07-01 Hamid Al-Jibbouri

We develop a self-consistent, Gravitoelectromagnetic (GEM) formulation of a slowly rotating, self-gravitating and dilute Bose-Einstein condensate (BEC), intended for astrophysical applications in the context of dark matter halos. GEM…

Astrophysics of Galaxies · Physics 2018-06-06 Souvik Sarkar , Cenalo Vaz , L. C. R. Wijewardhana

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and…

Mathematical Physics · Physics 2017-11-21 Weizhu Bao

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

Recent studies suggest that dark matter could take the form of a Bose-Einstein condensate (BEC), a possibility motivated by anomalies in galactic rotation curves and the missing mass problem in galaxy clusters. We investigate the…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Francisco S. N. Lobo , Tiberiu Harko

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

The characteristic of the angular distributions of accelerated Bose-Einstein condensate (BEC) atoms incidence on the surface is designed using the mathematical modeling method. Here, we proposed the idea to study the retroreflection and…

Quantum Physics · Physics 2022-11-01 Javed Akram , Khan Qasim , Lei Wei

Here we describe a weakly interacting Bose gas on a curved manifold, which is embedded in the three-dimensional Euclidean space.~To this end we start by considering a harmonic trap in the normal direction of the manifold, which confines the…

The Gross-Pitaevskii (GP) equation is a long-wavelength approach widely used to describe the dilute Bose-Einstein condensates (BEC). However, in many physical situations, such as higher densities, this approximation unlikely suffices hence…

Quantum Gases · Physics 2011-09-27 Alexander V. Avdeenkov , Konstantin G. Zloshchastiev

We investigate the interaction of a laser-cooled trapped ion (Ba$^+$ or Rb$^+$) with an optically confined $^{87}$Rb Bose-Einstein condensate (BEC). The system features interesting dynamics of the ion and the atom cloud as determined by…

Quantum Gases · Physics 2015-05-19 Stefan Schmid , Arne Härter , Johannes Hecker Denschlag

Using the axially-symmetric time-dependent Gross-Pitaevskii equation we study the phase coherence in a repulsive Bose-Einstein condensate (BEC) trapped by a harmonic and an one-dimensional optical lattice potential to describe the…

Soft Condensed Matter · Physics 2009-11-07 Sadhan 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
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