scholarly journals Dimensional Reduction and Localization of a Bose-Einstein Condensate in a Quasi-1D Bichromatic Optical Lattice

2015 ◽  
Vol 128 (6) ◽  
pp. 979-982 ◽  
Author(s):  
L. Salasnich ◽  
S.K. Adhikari

2007 ◽  
Vol 19 (04) ◽  
pp. 371-384 ◽  
Author(s):  
AMANDINE AFTALION

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.









2012 ◽  
Vol 376 (32) ◽  
pp. 2200-2205 ◽  
Author(s):  
S.K. Adhikari ◽  
P. Muruganandam




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