Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices

Details Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices

2005-04-18

arxiv.org/abs/cond-mat/0504456v2

Phys. Rev. A 72 (2005) 033617

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.72.033617

We discuss localized ground states of Bose-Einstein condensates in optical lattices with attractive and repulsive three-body interactions in the framework of a quintic nonlinear Schr\"odinger equation which extends the Gross-Pitaevskii equation to the one dimensional case. We use both a variational method and a self-consistent approach to show the existence of unstable localized excitations which are similar to Townes solitons of the cubic nonlinear Schr\"odinger equation in two dimensions. These solutions are shown to be located in the forbidden zones of the band structure, very close to the band edges, separating decaying states from stable localized ones (gap-solitons) fully characterizing their delocalizing transition. In this context usual gap solitons appear as a mechanism for arresting collapse in low dimensional BEC in optical lattices with attractive real three-body interaction. The influence of the imaginary part of the three-body interaction, leading to dissipative effects on gap solitons and the effect of atoms feeding from the thermal cloud are also discussed. These results may be of interest for both BEC in atomic chip and Tonks-Girardeau gas in optical lattices.

Affiliated with

Also associated with

No associations

Rating

Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39410