Physical Review A
Nonlinear optical response of cold atoms
Tohya Hiroshima, Y. Yamamoto
Abstract
The third-order optical susceptibility ${\mathrm{\ensuremath{\chi}}}^{(3)}$ is calculated for a system of N cold atoms trapped in a three-dimensional harmonic potential. The dipole-dipole interaction between atoms contributes to ${\mathrm{\ensuremath{\chi}}}^{(3)}$ reflecting quantum statistical properties of atoms. This contribution in Bose condensed systems is proportional to ${\mathit{N}}^{2}$ and is much larger than that in the system of Fermi atoms. \textcopyright{} 1996 The American Physical Society.