Loading Bose condensed atoms into the ground state of an optical lattice

Details Loading Bose condensed atoms into the ground state of an optical lattice Loading Bose condensed atoms into the ground state of an optical lattice

2004-12-22

arxiv.org/abs/cond-mat/0412639v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.72.053615

We optimize the turning on of a one-dimensional optical potential, V_L(x,t) = S(t) V_0 cos^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_0. Specifically, we minimize interband excitations at the end of the turn-on of the optical potential at the final ramp time t_r, where S(t_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_r is long compared with the inverse of the band excitation frequency and short in comparison with nonlinear time \hbar/\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 very little excitation even for times t_r on the order of the inverse band excitation frequency.

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