Bose-Einstein condensate in a rotating double-well potential: Hidden vortices and Feynman rule

2014 ◽  
Author(s):  
T. Mithun ◽  
K. Porsezian ◽  
Bishwajyoti Dey
Keyword(s):  
Feynman Rule ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
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.

Nonlinear localized eigenmodes for a Bose–Einstein condensate in a double-well potential

2015 ◽  
Vol 29 (25) ◽  
pp. 1550150
Author(s):  
Qiongtao Xie ◽  
Xiaoliang Liu ◽  
Shiguang Rong
Keyword(s):  
Einstein Condensate ◽  
Localized Modes ◽  
Exact Analytical Solutions ◽  
Bose Einstein Condensate ◽  
Specific Choice ◽  
Asymmetric Distributions ◽  
The Stability ◽  
Bose Einstein ◽  
Double Well Potential ◽  
Potential Parameters

In this paper, we investigate the nonlinear localized eigenmodes for a Bose–Einstein condensate in a double-well potential. For a specific choice of the potential parameters, certain exact analytical solutions for nonlinear localized eigenmodes are presented. By applying the linear stability analysis, the stability regions of these exact nonlinear localized eigenmodes are obtained numerically. It is shown that under certain conditions, the unstable nonlinear localized modes display the breathing behavior characterized by repeated appearance of symmetric and asymmetric distributions in the two potentials. This breathing behavior is shown to arise from the symmetry breaking for these nonlinear localized eigenmodes.

Energy levels of a spin–orbit-coupled Bose–Einstein condensate in a double-well potential

Laser Physics ◽  
2014 ◽  
Vol 25 (2) ◽  
pp. 025501 ◽  
Author(s):  
Wen-Yuan Wang ◽  
Hui Cao ◽  
Shi-Liang Zhu ◽  
Jie Liu ◽  
Li-Bin Fu
Keyword(s):  
Energy Levels ◽  
Einstein Condensate ◽  
Spin Orbit ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Double Well Potential

Bose-Einstein condensate in a double well potential in the vicinity of a critical point

Laser Physics ◽  
2010 ◽  
Vol 20 (3) ◽  
pp. 671-677 ◽  
Author(s):  
B. Oleś ◽  
P. Ziń ◽  
J. Chwedeńczuk ◽  
K. Sacha ◽  
M. Trippenbach
Keyword(s):  
Critical Point ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Double Well Potential

scholarly journals Symmetry breaking and tunneling dynamics of a dipolar Bose–Einstein condensate in a double-well potential

2018 ◽  
Vol 96 (6) ◽  
pp. 622-626 ◽  
Author(s):  
Yuan Sheng Wang ◽  
Ping Long ◽  
Bo Zhang ◽  
Hong Zhang
Keyword(s):  
Symmetry Breaking ◽  
Long Range ◽  
Three Dimensional ◽  
Dipolar Interaction ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Symmetry Properties ◽  
Tunneling Dynamics ◽  
Bose Einstein ◽  
Double Well Potential

We investigate the properties of a three-dimensional (3D) dipolar Bose–Einstein condensate (BEC) in a double-well potential (DWP). Symmetry breaking and tunneling dynamics phenomena are demonstrated for 164Dy atoms in the 3D DWP using an effective two-mode model. The results show that the symmetry properties of the dynamics are affected markedly by the long-range nature and anisotropy of the dipolar interaction and the isotropic contact interaction.

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