## Abstract

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.

Original language | English |
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Article number | 053615 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 72 |

Issue number | 5 |

DOIs | |

State | Published - 1 Nov 2005 |

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics