scholarly journals Gap solitons in a dipolar Bose–Einstein condensate on a three-dimensional optical lattice

2011 ◽  
Vol 44 (12) ◽  
pp. 121001 ◽  
Author(s):  
P Muruganandam ◽  
S K Adhikari
Keyword(s):  
Optical Lattice ◽  
Three Dimensional ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Gap Solitons ◽  
Bose Einstein

scholarly journals Resonant demagnetization of a dipolar Bose-Einstein condensate in a three-dimensional optical lattice

2013 ◽  
Vol 87 (5) ◽  
Author(s):  
A. de Paz ◽  
A. Chotia ◽  
E. Maréchal ◽  
P. Pedri ◽  
L. Vernac ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Three Dimensional ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

ON THE ENERGY OF A BOSE–EINSTEIN CONDENSATE IN AN OPTICAL LATTICE

2007 ◽  
Vol 19 (04) ◽  
pp. 371-384 ◽  
Author(s):  
AMANDINE AFTALION
Keyword(s):  
Optical Lattice ◽  
Critical Case ◽  
Periodic Potential ◽  
Einstein Condensate ◽  
Gamma Convergence ◽  
The Third ◽  
Bose Einstein Condensate ◽  
Delta Functions ◽  
Convergence Type ◽  
Bose Einstein

In this paper, we study the Gross–Pitaevskii energy of a Bose–Einstein condensate in the presence of an optical lattice, modeled by a periodic potential V(x3) in the third direction. We study a simple case where the wells of the potential V correspond to regions where V vanishes, and are separated by small intervals of size δ where V is large. According to the intensity of V, we determine the limiting energy as δ tends to 0. In the critical case, the periodic potential approaches a sum of delta functions and the limiting energy has a contribution due to the value of the wave function between the wells. The proof relies on Gamma convergence type techniques.

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