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Physics Letters A

Multi-photon processes in a strong field

Asko Valli, Stig Stenholm

Published Jan 1, 1978• 10 citations
Publisher
DOI
10.1016/0375-9601(78)90679-5

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We present a formalism that enables the analytic calculation of the interaction of a spin-half particle with a polychromatic electromagnetic field. This powerful new approach provides a clear physical picture even for cases with highly degenerate energy levels, which are complicated to interpret in the standard dressed-atom picture. Typically semi-classical methods are used for such problems (leading to equations that are solved by Floquet theory). Our formalism is derived from quantum electrodynamics and thus is more widely applicable. In particular it makes accessible the intermediate regime between quantum and semi-classical dynamics. We give examples of the application to multi-frequency multi-photon processes in strong fields by deriving the Hamiltonians of such systems, and also to the dynamics of weak fields at long times for which semi-classical methods are insufficient.

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Three-Photons interaction in an intense Field

Valeri O. Papanyan, V. I. Ritus

•Oct 1, 1986•0 citations
Theoretical study on the nonlinear absorption of a strong electromagnetic waves in infinite semi-parabolic plus semi-inverse Squared Quantum Wells (ISPPSISQW) by using quantum kinetic equations for electron in the case of electron-acoustic phonon scattering. Analytical expressions for the nonlinear multi-photon absorption coefficient in the ISPPSISQW are obtained for a specific GaAs/GaAsAl in the case off the absence and the case of the presence of an external magnetic field B. A second- order multi-photon process is included in the result. The dependence of the nonlinear multi-photon absorption coefficient on the intensity (E0)(E_0)(E0​) and the frequency (Ω)(\Omega)(Ω) of a strong electromagnetic wave, confinement frequency of ISPPSISQW (Ω)(\Omega)(Ω) and the temperature investigated. The numerical computations for a specific ISPPSISQW GaAs/GaAsAl show that the nonlinear multi-photon absorption coefficient decreases rapidly with increasing ωz\omega_zωz​ or Ω\OmegaΩ and the nonlinear multi-photon absorption coefficient increases rapidly E0E_0E0​ or T. In the case of the presence of an external magnetic field B, numerical calculations indicate the occurrence of magneto-photon-phonon resonances when the resonance conditions are met. As the photon energy changes, the resonance peaks tend to increase with the increase in photon energy.
We present a formalism that enables the analytic calculation of the interaction of a spin-half particle with a polychromatic electromagnetic field. This powerful new approach provides a clear physical picture even for cases with highly degenerate energy levels, which are complicated to interpret in the standard dressed-atom picture. Typically semi-classical methods are used for such problems (leading to equations that are solved by Floquet theory). Our formalism is derived from quantum electrodynamics and thus is more widely applicable. In particular it makes accessible the intermediate regime between quantum and semi-classical dynamics. We give examples of the application to multi-frequency multi-photon processes in strong fields by deriving the Hamiltonians of such systems, and also to the dynamics of weak fields at long times for which semi-classical methods are insufficient.