Loading Bose-Einstein-condensed atoms into the ground state of an optical lattice
- Atomic Physics Division, 100 Bureau Drive Stop 8423, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8423 (United States)
- Departments of Chemistry, Electro-Optics, and The Ilse Katz Center for Nano Science, Ben-Gurion University of the Negev, Beer-Sheva 84105 (Israel)
- Institute for Theoretical Physics, Optics Division, Warsaw University, ul. Hoza 69, Warsaw 00-681 (Poland)
We optimize the turning on of a one-dimensional optical potential, V{sub L}(x,t)=S(t)V{sub 0} cos{sup 2}(kx) to obtain the optimal turn-on function S(t) so as to load a Bose-Einstein condensate into the ground state of the optical lattice of depth V{sub 0}. Specifically, we minimize interband excitations at the end of the turn-on of the optical potential at the final ramp time t{sub r}, where S(t{sub r})=1, given that S(0)=0. Detailed numerical calculations confirm that a simple unit cell model is an excellent approximation when the turn-on time t{sub r} is long compared with the inverse of the band excitation frequency and short in comparison with nonlinear time ({Dirac_h}/2{pi})/{mu} where {mu} is the chemical potential of the condensate. We demonstrate using the Gross-Pitaevskii equation with an optimal turn-on function S(t) that the ground state of the optical lattice can be loaded with no significant excitation even for times t{sub r} on the order of the inverse band excitation frequency.
- OSTI ID:
- 20786561
- Journal Information:
- Physical Review. A, Vol. 72, Issue 5; Other Information: DOI: 10.1103/PhysRevA.72.053615; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Rotating trapped Bose-Einstein condensates
Beyond-mean-field results for atomic Bose-Einstein condensates at interaction strengths near Feshbach resonances: A many-body dimensional perturbation-theory calculation