We optimize the turning on of a one-dimensional optical potential, VL(x,t)=S(t)V0cos2(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 V0. Specifically, we minimize interband excitations at the end of the turn-on of the optical potential at the final ramp time tr, where S(tr)=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 tr is long compared with the inverse of the band excitation frequency and short in comparison with nonlinear time μ where μ 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 tr on the order of the inverse band excitation frequency.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - 1 Nov 2005|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics