Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-05-29
Opt. Commun., 282, 1472 (2009)
Physics
Condensed Matter
Quantum Gases
Scientific paper
Approximate solutions of the Gross-Pitaevskii (GP) equation, obtained upon neglection of the kinetic energy, are well known as Thomas-Fermi solutions. They are characterized by the compensation of the local potential by the collisional energy. In this article we consider exact solutions of the GP-equation with this property and definite values of the kinetic energy, which suggests the term "kinetic Thomas-Fermi" (KTF) solutions. We point out that a large class of light-shift potentials gives rise to KTF-solutions. As elementary examples, we consider one-dimensional and two-dimensional optical lattice scenarios, obtained by means of the superposition of two, three and four laser beams, and discuss the stability properties of the corresponding KTF-solutions. A general method is proposed to excite two-dimensional KTF-solutions in experiments by means of time-modulated light-shift potentials.
Hemmerich Andreas
Ölschläger Matthias
Smith Christopher M.
Wirth Georg
No associations
LandOfFree
Kinetic Thomas-Fermi solutions of the Gross-Pitaevskii equation 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 Kinetic Thomas-Fermi solutions of the Gross-Pitaevskii equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinetic Thomas-Fermi solutions of the Gross-Pitaevskii equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-161232