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Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

Long-term quantum treatment of the spontaneous emission of an atom interacting with a strongly populated mode

Guy Oliver, Elisabeth Ressayre, Andree A. Tallet

Published Oct 1, 1971• 42 citations
Publisher
DOI
10.1007/bf02789642

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We present a theoretical treatment of the problem of a Rydberg atom near-resonantly coupled to a mode in a microwave cavity. We analyze the properties of cavity-induced spontaneous emission in the case of the cavity being driven by one or two near-resonant microwave fields. We find that the spontaneous emission of the atom can be turned off by one strong field (dynamical suppression) and that the addition of a second strong field can break this dynamical suppression and allow the atom to fluoresce in the presence of both fields. The analysis is cast both in a full master-equation treatment and in a Floquet treatment of an atom driven bichromatically in vacuum, the latter allowing for an interpretation of the full calculation. The calculations are performed in the intermediately strong coupling limit, in which both atomic and cavity dynamics must be considered.

Physical Review A•Aug 1, 1994•9 citations
We solve the spontaneous-emission problem for an atom coupled to a standing-wave cavity mode. The interaction between the atom and the cavity mode is treated nonperturbatively with the quantized motion of the atom along the cavity axis included. Results are presented for the spontaneous-emission spectrum and the final momentum distribution of the atom. For equal atomic and cavity linewidths analytical results are obtained using a Bloch-state basis (eigenstates of the coupled atom and cavity mode); these are compared with results calculated in the Raman-Nath approximation. The case of unequal linewidths may be solved numerically using the eigenstates of the uncoupled atom and cavity mode as a basis, or analytically by making a secular approximation in the Bloch-state basis. The distribution of final atomic momentum shows that under strong-coupling conditions the atom is diffracted by its radiation reaction field. We compare the spontaneous emission spectra with spectra calculated by treating the motion of the atom classically. Generally there is good agreement when the classical results are averaged over the quantum-mechanical uncertainty in the initial position of the atom. The agreement is lost for sufficiently strong dipole coupling or sufficiently light atoms. Then, spectra that are symmetric in the classical treatment are asymmetric in the quantum treatment due to energy exchange between the internal degrees of freedom and center-of-mass degrees of freedom of the atom.
We present a theoretical treatment of the problem of a Rydberg atom near-resonantly coupled to a mode in a microwave cavity. We analyze the properties of cavity-induced spontaneous emission in the case of the cavity being driven by one or two near-resonant microwave fields. We find that the spontaneous emission of the atom can be turned off by one strong field (dynamical suppression) and that the addition of a second strong field can break this dynamical suppression and allow the atom to fluoresce in the presence of both fields. The analysis is cast both in a full master-equation treatment and in a Floquet treatment of an atom driven bichromatically in vacuum, the latter allowing for an interpretation of the full calculation. The calculations are performed in the intermediately strong coupling limit, in which both atomic and cavity dynamics must be considered.