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Bulletin of the American Physical Society

Can a photon saturate an atom without being absorbed

Josiah Sinclair, Daniela Angulo, Kyle Thompson, Kent Bonsma-Fisher, Aephraim M. Steinberg

Published Jun 3, 2020• 0 citations
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Abstract By extending a previously developed method [9] to the case of saturation, the interaction of a nonmonochromatic light beam with a saturable m‐photon‐absorber (m = 1, 2,…) is theoretically investigated for frequency widths of the incident light being small compared to the bandwidth of the absorber. It turns out that by averaging the exact Heisenberg equation of motion of the operator for the slowly varying field amplitude with respect to the atomic relaxation time and by taking the expectation value over the absorbing atomic system a reduced single‐mode equation can be derived, which refers to a mode volume precisely defined in physical terms. The resulting reduced Heisenberg equation of motion for the radiation field is compared to the single‐mode density matrix equation following from the method of SCULLY and LAMB. For ideal laser light and for chaotic light it is used to study the change of photon statistics in dependence on the degree of saturation and on the ratio of inhomogeneous and homogeneous linewidth.