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Optics Communications

Kinetic description of the field–gas interaction in intense optical lattices

Mikhail N. Shneider, P. F. Barker

Published Nov 5, 2010• 9 citations
Publisher
DOI
10.1016/j.optcom.2010.10.063

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In this paper the effects of coupling a non‐resonant optical lattice to a gas is studied. When the lattice induces a periodic modulation of the gas density, strong Bragg diffraction of light can occur. If a significant fraction of the light used to make the periodic structure is diffracted it can potentially limit the achievable intensities inside the lattice limiting the ability to manipulate the gas with the light. We calculate the evolution of the light fields by finding solutions to the wave equation with a periodic refractive index induced by the lattice. The local gas density perturbation induced by the lattice is determined by solution of the Boltzmann kinetic equation in the collisional regime. This allows us to predict the limits of gas transport within optical lattice. We discuss the maximum energy and momentum transfer to the gas from the lattice.
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Based on the Gross-Pitaevskii theory, for a Bose-condensed gas confined in a harmonic trap and in a one-dimensional (1D) optical lattice, the relationship of the Gaussian width of the sub-condenses and the intensity of 1D-optical lattices potential is studied by using the G-P energy functional and the variational method. For the ideal non-interacting model, the Gaussian width of the sub-condenses is analyzed. Concerning interacting Bose-condensed atoms, the Gaussian approximate model is advanced and the analytic expression of the Gaussian width with the intensity of optical lattices potential is obtained. And then, those analytical results are compared with the straightforward numerical calculation. It indicates that the Gaussian approximate model is closer to the results of the numerical solution, and both are reaching unanimity with the intensity of ID-optical lattices potential increasing.