scholarly journals Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice

2003 ◽  
Vol 68 (3) ◽  
Author(s):  
P. G. Kevrekidis ◽  
R. Carretero-González ◽  
G. Theocharis ◽  
D. J. Frantzeskakis ◽  
B. A. Malomed
Keyword(s):  
Optical Lattice ◽  
Einstein Condensate ◽  
Dark Solitons ◽  
Bose Einstein Condensate ◽  
Bose Einstein

Erratum: Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice [Phys. Rev. A68, 035602 (2003)]

2005 ◽  
Vol 72 (6) ◽  
Author(s):  
P. G. Kevrekidis ◽  
R. Carretero-González ◽  
G. Theocharis ◽  
D. J. Frantzeskakis ◽  
B. A. Malomed
Keyword(s):  
Optical Lattice ◽  
Einstein Condensate ◽  
Dark Solitons ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document