Few-cycle acoustic solitons in a strained paramagnet

Sazonov, S.V.; Ustinov, N.V.

Авторы: Sazonov S.V., Ustinov N.V.
Журнал: Romanian Reports on Physics
Том: 72
Номер: 4
Год издания: 2020
Издательство: Editura Academiei Romane
Местоположение издательства: Romania
Номер статьи: 508
Аннотация: The theoretical investigation of propagation of few-cycle transverse acoustic solitons in a cubic paramagnetic crystal placed in an external magnetic field and in a field of static deformation is carried out. The self-consistent system of non-linear equations for the spin variables and relative deformation of the acoustic pulse is derived. This system generalizes the system of the reduced Maxwell–Bloch equations, well-known in nonlinear optics, and occurs to be also integrable by the inverse scatter-ing transformation method. The soliton and breather solutions of the obtained system are investigated in detail. It is revealed that the properties of the solitons and breathers depend on the ratio between the frequencies of the Zeeman and quadrupole Stark split-tings of the effective spins of the paramagnet. If the Zeeman splitting exceeds the Stark one, then the short-living pulse of the deformation field, whose dynamics is similar to that of rogue waves, can be formed under the collision of two solitons having different polarities. In the opposite case, the soliton collision does not lead to the appearance of such pulse of the deformation field. Here, the duration of the soliton is limited from be- low by the minimal value at which the profile of relative deformation has a rectangular shape.
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Few-cycle acoustic solitons in a strained paramagnetстатья

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