A second-quantized multi-Lambda cavity model yields an effective Raman beam-splitter Hamiltonian that predicts Hong-Ou-Mandel bunching for both atoms and photons.
On damping of Rabi oscillations in two-photon Raman excitation in cold $^{87}$Rb atoms
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abstract
Two-photon Raman excitation between the ground hyperfine states $|5 \ ^2S_{1/2}, F = 2\rangle$ and $|5 \ ^2S_{1/2}, F = 1\rangle$ of $^{87}$Rb atom has been experimentally studied. The Rabi coupling strengths of various transition involved have been calculated in presence of a weak magnetic field. A density matrix formalism has been developed to understand the experimentally observed damping of Rabi oscillations of population in a hyperfine state of $^{87}$Rb atom during interaction with the Raman laser beams. The observed damping of Rabi oscillations has been attributed to the dephasing during the light atom interaction.
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Multi-Photon Quantum Rabi Models with Center-of-Mass Motion
A second-quantized multi-Lambda cavity model yields an effective Raman beam-splitter Hamiltonian that predicts Hong-Ou-Mandel bunching for both atoms and photons.