The dynamical dipole-dipole interaction of atoms and Bragg-scattering of Bose-Einstein condensates in cavities

2005 ◽  
Author(s):  
F. Burgbacher ◽  
J. Audretsch
Keyword(s):  
Dipole Interaction ◽  
Bragg Scattering ◽  
Bose Einstein

scholarly journals Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

2016 ◽  
Vol 19 (5) ◽  
pp. 1141-1166 ◽  
Author(s):  
Weizhu Bao ◽  
Qinglin Tang ◽  
Yong Zhang
Keyword(s):  
Numerical Methods ◽  
Ground State ◽  
High Efficiency ◽  
Three Dimensional ◽  
Ground States ◽  
Dipole Interaction ◽  
Polar Coordinates ◽  
Pitaevskii Equation ◽  
Nonuniform Fft ◽  
Bose Einstein

AbstractWe propose efficient and accurate numerical methods for computing the ground state and dynamics of the dipolar Bose-Einstein condensates utilising a newly developed dipole-dipole interaction (DDI) solver that is implemented with the non-uniform fast Fourier transform (NUFFT) algorithm. We begin with the three-dimensional (3D) Gross-Pitaevskii equation (GPE) with a DDI term and present the corresponding two-dimensional (2D) model under a strongly anisotropic confining potential. Different from existing methods, the NUFFT based DDI solver removes the singularity by adopting the spherical/polar coordinates in the Fourier space in 3D/2D, respectively, thus it can achieve spectral accuracy in space and simultaneously maintain high efficiency by making full use of FFT and NUFFT whenever it is necessary and/or needed. Then, we incorporate this solver into existing successful methods for computing the ground state and dynamics of GPE with a DDI for dipolar BEC. Extensive numerical comparisons with existing methods are carried out for computing the DDI, ground states and dynamics of the dipolar BEC. Numerical results show that our new methods outperform existing methods in terms of both accuracy and efficiency.

PROBING BOSE-EINSTEIN CONDENSATES WITH OPTICAL BRAGG SCATTERING

2000 ◽  
Author(s):  
D. M. STAMPER-KURN ◽  
A. P. CHIKKATUR ◽  
A. GÖRLITZ ◽  
S. GUPTA ◽  
S. INOUYE ◽  
...  
Keyword(s):  
Bragg Scattering ◽  
Bose Einstein

scholarly journals Photoassociation spectroscopy of weakly bound Rb287 molecules near the 5P1/2+5S1/2 threshold by optical Bragg scattering in Bose-Einstein condensates

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Khan Sadiq Nawaz ◽  
Liangchao Chen ◽  
Chengdong Mi ◽  
Zengming Meng ◽  
Lianghui Huang ◽  
...  
Keyword(s):  
Bragg Scattering ◽  
Weakly Bound ◽  
Bose Einstein ◽  
Photoassociation Spectroscopy

Scattering of a discrete soliton by impurity in dipolar Bose–Einstein condensates

2014 ◽  
Vol 28 (30) ◽  
pp. 1450214 ◽  
Author(s):  
S. M. Al-Marzoug
Keyword(s):  
Center Of Mass ◽  
Dipole Interaction ◽  
Einstein Condensate ◽  
Mass Motion ◽  
Trapping Region ◽  
Discrete Soliton ◽  
Bose Einstein Condensate ◽  
Trapping Regions ◽  
Transmission Resonances ◽  
Bose Einstein

Scattering of a discrete soliton by a single impurity in dipolar Bose–Einstein condensate is investigated numerically. The results show that the increase of the strength of dipolar interactions leads to repeated reflection, transmission and trapping regions due to energy exchange between the center of mass motion and the internal modes of the impurity. However, increasing the strength of the attractive nonlocal dipole–dipole interaction will result in different scattering windows. While the dipole–dipole interaction can significantly expand the trapping region of the system, nevertheless transmission resonances through the impurity are still observed.

PROBING BOSE-EINSTEIN CONDENSATES WITH OPTICAL BRAGG SCATTERING

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1621-1640 ◽  
Author(s):  
D. M. STAMPER-KURN ◽  
A. P. CHIKKATUR ◽  
A. GÖRLITZ ◽  
S. GUPTA ◽  
S. INOUYE ◽  
...  
Keyword(s):  
Light Scattering ◽  
Atomic Physics ◽  
Coherence Length ◽  
Condensed Matter ◽  
Bragg Scattering ◽  
Many Body ◽  
Optical Tools ◽  
Matter System ◽  
The Many ◽  
Bose Einstein

Gaseous Bose-Einstein condensates are a macroscopic condensed-matter system which can be understood from a microscopic, atomic basis. We present examples of how the optical tools of atomic physics can be used to probe properties of this system. In particular, we describe how stimulated light scattering can be used to measure the coherence length of a condensate, to measure its excitation spectrum, and to reveal the presence of pair excitations in the many-body condensate wavefunction.

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