Transitions between stationary states of systems of magnons with parametric excitation
E. V. Gol’dshteinA. M. Gor’kii State University, Khar’kov and Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kovV. M. TsukernikA. M. Gor’kii State University, Khar’kov and Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Khar’kov
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The quantum characteristics of a system of magnons in a magnetically ordered crystal with parametric excitation are studied. Exact expressions are obtained with the help of the representation of the coherent states (independently of the nature of the excitation) for the probability of transitions between stationary states of the unperturbed system under the action of pumping, as well as for the population of the levels (the statistical distribution of the probabilities over the magnon occupation numbers). In finding the explicit time-dependence of these characteristics the excitation by a sinusoidal field is studied in the resonance approximation.
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