Eur. Phys. J. D 39, 67-74 (2006)
https://doi.org/10.1140/epjd/e2006-00082-6

A nonadiabatic semi-classical method for dynamics of atoms in optical lattices

Department of Physics, Umeå University, 901 87 Umeå, Sweden

Corresponding author: ^a jonsell@tp.umu.se

Received: 16 December 2005
Revised: 25 January 2006
Published online: 11 April 2006

Abstract

We develop a semi-classical method to simulate the motion of atoms in a dissipative optical lattice. Our method treats the internal states of the atom quantum mechanically, including all nonadiabatic couplings, while position and momentum are treated as classical variables. We test our method in the one-dimensional case. Excellent agreement with fully quantum mechanical simulations is found. Our results are much more accurate than those of earlier semi-classical methods based on the adiabatic approximation.