Resonant excitation of a quantum anharmonic oscillator

P. N. Pigurov, Nikolai N Rozanov, В. А. Смирнов

Nikolai N Rozanov, В. А. Смирнов

Nikolai N Rozanov, В. А. Смирнов

G. S. Agarwal, Ravinder Rupchand Puri

Ashat M. Basharov

Resonant interactions of a coherent field with an anharmonic oscillator are classified based on the established analogy with multiphoton interactions of light with atoms. It is shown that interference interactions in which the absorption of a single coherent field quantum induces a multiphoton transition in the anharmonic oscillator are superpositions of resonances of the “cascade” and “lambda-V” types, and a general description of these resonances is given. For the third- and fourth-order nonlinearities, the general expressions are applicable to a resonant process with the absorption of a single photon and the double excitation of the oscillator. Resonant processes of the second harmonic generation and “rectification” of radiation are predicted and described; experimental investigation of these processes will provide information about anharmonicity parameters in the proposed model.

Ashat M. Basharov

Abstract The author considers three types of resonance of a classical coherent electromagnetic wave with the same carrier frequency as a quantum anharmonic oscillator, based on algebraic perturbation theory. The corresponding effective operators of the dipole moment of the anharmonic oscillator are obtained, allowing the polarization of the excited medium under the considered resonance conditions to be calculated. Some possibilities are established for the creation of nonlinear effects.