scholarly journals Two-dimensional dipolar Bose–Einstein condensate bright and vortex solitons on a one-dimensional optical lattice

2012 ◽  
Vol 45 (4) ◽  
pp. 045301 ◽  
Author(s):  
S K Adhikari ◽  
P Muruganandam
Keyword(s):  
Optical Lattice ◽  
Einstein Condensate ◽  
Two Dimensional ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Vortex Solitons ◽  
Bose Einstein

scholarly journals Ground states of a Bose-Einstein Condensate in a one-dimensional laser-assisted optical lattice

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Qing Sun ◽  
Jie Hu ◽  
Lin Wen ◽  
W.-M. Liu ◽  
G. Juzeliūnas ◽  
...  
Keyword(s):  
Optical Lattice ◽  
Ground States ◽  
Einstein Condensate ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Stability analysis of three-dimensional breather solitons in a Bose–Einstein condensate

2005 ◽  
Vol 461 (2063) ◽  
pp. 3561-3574 ◽  
Author(s):  
M Matuszewski ◽  
E Infeld ◽  
G Rowlands ◽  
M Trippenbach
Keyword(s):  
Three Dimensional ◽  
Einstein Condensate ◽  
Dimensional Case ◽  
Two Dimensional ◽  
One Dimensional ◽  
Stability Properties ◽  
Bose Einstein Condensate ◽  
The Stability ◽  
Bose Einstein ◽  
Dimensional Soliton

We investigated the stability properties of breather soliton trains in a three-dimensional Bose–Einstein condensate (BEC) with Feshbach-resonance management of the scattering length. This is done so as to generate both attractive and repulsive interaction. The condensate is confined only by a one-dimensional optical lattice and we consider strong, moderate and weak confinement. By strong confinement we mean a situation in which a quasi two-dimensional soliton is created. Moderate confinement admits a fully three-dimensional soliton. Weak confinement allows individual solitons to interact. Stability properties are investigated by several theoretical methods such as a variational analysis, treatment of motion in effective potential wells, and collapse dynamics. Armed with all the information forthcoming from these methods, we then undertake a numerical calculation. Our theoretical predictions are fully confirmed, perhaps to a higher degree than expected. We compare regions of stability in parameter space obtained from a fully three-dimensional analysis with those from a quasi two-dimensional treatment, when the dynamics in one direction are frozen. We find that in the three-dimensional case the stability region splits into two parts. However, as we tighten the confinement, one of the islands of stability moves toward higher frequencies and the lower frequency region becomes more and more like that for the quasi two-dimensional case. We demonstrate these solutions in direct numerical simulations and, importantly, suggest a way of creating robust three-dimensional solitons in experiments in a BEC in a one-dimensional lattice.

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