Influence of the dipole–dipole interaction on the interference between Bose–Einstein condensates

2019 ◽  
Vol 33 (07) ◽  
pp. 1950048 ◽  
Author(s):  
Guoquan Yang ◽  
Juan Guo ◽  
Suying Zhang
Keyword(s):  
Dipole Interaction ◽  
Normal Direction ◽  
Polarization Direction ◽  
Temporal Control ◽  
Interference Fringes ◽  
Central Regions ◽  
Effective Polarization ◽  
Bose Einstein ◽  
Double Well Potential

We have investigated the interference of the dipolar Bose–Einstein condensates (DBECs) released from a double-well potential and studied the effects of dipole–dipole interaction (DDI) on the interference phenomena. We find that the DDI plays an important role in the interference process. When the effective polarization direction of the dipolar atoms is in the normal direction of the condensate plane, with the increasing of the strength of DDI, the visibility of fringes reduces and the width of fringes becomes larger. When the strength of DDI is fixed and the effective polarization direction of the dipolar atoms deviates from the normal direction of the condensate plane, the interference fringes become bent. Especially, for the situation of polarization parallel to the condensate plane, the interference fringes in the central regions become wave-shaped and vortex–antivortex pairs can be formed due to the anisotropic DDI. In addition, vortex–antivortex pairs could also be created by the spatial and temporal control of the DDI.

scholarly journals Bose Einstein condensation in a magnetic double-well potential

2003 ◽  
Vol 5 (2) ◽  
pp. S119-S123 ◽  
Author(s):  
T G Tiecke ◽  
M Kemmann ◽  
Ch Buggle ◽  
I Shvarchuck ◽  
W von Klitzing ◽  
...  
Keyword(s):  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Double Well Potential

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.

scholarly journals Atom Interferometry with Bose-Einstein Condensates in a Double-Well Potential

2004 ◽  
Vol 92 (5) ◽  
Author(s):  
Y. Shin ◽  
M. Saba ◽  
T. A. Pasquini ◽  
W. Ketterle ◽  
D. E. Pritchard ◽  
...  
Keyword(s):  
Atom Interferometry ◽  
Bose Einstein ◽  
Double Well Potential

Josephson dynamics of strongly interacting superfluid Fermi gases in double-well potentials

2020 ◽  
pp. 2150002
Author(s):  
Ji Li ◽  
Wen Wen ◽  
Yuke Zhang ◽  
Xiaodong Ma
Keyword(s):  
Einstein Condensate ◽  
Interaction Terms ◽  
Bose Einstein Condensate ◽  
Strongly Interacting ◽  
Fermi Superfluids ◽  
The Cross ◽  
Bose Einstein ◽  
Double Well Potential ◽  
Zero Phase ◽  
Superfluid Fermi

In this work, we study the nonlinear Josephson dynamics of Fermi superfluids in the crossover from Bardeen–Cooper–Schrieffer (BCS) superfluid to a molecular Bose-Einstein condensate (BEC) in a double-well potential. Under a two-mode approximation, we derive a full two-mode (fTM) model including all interaction energy terms. By solving the fTM model numerically, we study the zero-phase and [Formula: see text]-phase modes of Josephson oscillations in the BCS–BEC crossover. We find that in the strongly interacting regime the cross interaction terms not appearing in the two-mode model cannot be easily ignored. The cross interactions can alter the behaviors of Josephson dynamics substantially, and interestingly the alterations for the zero-phase and [Formula: see text]-phase modes are just opposite.

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