𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exactly formulated Bose–Einstein condensates in optical lattices

✍ Scribed by Wenhua Hai; Chaohong Lee; Ximing Fang; Kelin Gao

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
450 KB
Volume
335
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.

✦ Synopsis

In light of the recent experimental observation of Bose-Einstein condensates held in 1D, 2D and 3D optical lattice potentials, we derive several families of exact solutions of the Gross-Pitaevskii equation from some balance conditions between the optical potentials and interaction energies. The exact solutions in same dimension possess same norm but di erent phases, which describe the condensed atoms with same spatial distribution and average number of atoms per well but di erent transport velocities and atomic current densities.

📜 SIMILAR VOLUMES

Band structure and dynamic behaviors of
Band structure and dynamic behaviors of Bose–Einstein condensates in Fourier-Synthesized optical lattices
✍ Yan Chen; Li-Bin Fu; Yong Chen 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 839 KB

By employing a nonlinear three-mode model, we study the band structure of Bose-Einstein condensates in Fourier-Synthesized optical lattices, where the nonlinearity comes from the mean field treatment of interaction between atoms. In linear case, we present the band structure of the system. It is dem

Rotating Bose–Einstein condensate in an
Rotating Bose–Einstein condensate in an optical lattice: Formulation of vortex configuration for the ground state
✍ Y. Azizi; A. Valizadeh 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 276 KB

We consider a rotating Bose-Einstein condensate in an optical lattice in the regime in which the system Hamiltonian can be mapped onto a Josephson junction array. In an approximate scheme where the couplings are assumed uniform, the ground state energy is formulated in terms of the vortex configurat

Bose-Einstein condensates in fast rotati
Bose-Einstein condensates in fast rotation
✍ S. Stock; B. Battelier; V. Bretin; Z. Hadzibabic; J. Dalibard 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 255 KB

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an atomic gas in rotation and briefly discuss the physics of cond

Wave turbulence in Bose–Einstein condens
Wave turbulence in Bose–Einstein condensates
✍ Yuri Lvov; Sergey Nazarenko; Robert West 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 186 KB

The kinetics of nonequilibrium Bose-Einstein condensates (BEC) are considered within the framework of the Gross-Pitaevskii (GP) equation. A systematic derivation is given for weak small-scale perturbations of a steady confined condensate state. This approach combines a wavepacket WKB description wit