Nonlinear magnetization dynamics in Bose-Einstein condensation of magnons

A. D. Gasanov; Гасанов А. Д.; A. A. Matveev; Матвеев А. А.; A. R. Safin; Сафин А. Р.; S. A. Nikitov; Никитов С. А.

doi:10.31857/S0033849425040078

Nonlinear magnetization dynamics in Bose-Einstein condensation of magnons

Авторлар: Gasanov A.D.¹^,2, Matveev A.A.¹^,2, Safin A.R.¹^,3, Nikitov S.A.¹^,2^,4
Мекемелер:
1. Kotelnikov Institute of Radioengineering and Electronics of RAS
2. Moscow Institute of Physics and Technology (National Research University)
3. National Research University “Moscow Power Engineering Institute”
4. Saratov National Research State University named after N.G. Chernyshevsky
Шығарылым: Том 70, № 4 (2025)
Беттер: 376-383
Бөлім: TO THE 70th ANNIVERSARY OF S.A. NIKITOV
URL: https://vietnamjournal.ru/0033-8494/article/view/687501
DOI: https://doi.org/10.31857/S0033849425040078
EDN: https://elibrary.ru/FSHHOC
ID: 687501

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Аннотация

An equation for the dynamics of a Bose-Einstein condensate of magnons in a ferromagnetic film is presented, derived from quantum mechanical theory. The main interactions influencing the evolution of the condensed state are considered. An autonomous system of first-order differential equations describing the amplitude and phase of condensed magnons is obtained from the equation for their annihilation operator. The phase trajectories of such a system are investigated using the method of constructing phase portraits and determining the stability of stationary points.

Негізгі сөздер

Bose-Einstein condensation, magnon, parametric pumping, phase portrait, nonlinearity

Толық мәтін

Авторлар туралы

A. Gasanov

Kotelnikov Institute of Radioengineering and Electronics of RAS; Moscow Institute of Physics and Technology (National Research University)

Хат алмасуға жауапты Автор.
Email: gasanov.ad@phystech.edu
Ресей, Mokhovaya Str. 11, build. 7, Moscow, 125009; Institutskiy lane, 9, Dolgoprudny, Moscow region, 141701

A. Matveev

Kotelnikov Institute of Radioengineering and Electronics of RAS; Moscow Institute of Physics and Technology (National Research University)

Email: gasanov.ad@phystech.edu
Ресей, Mokhovaya Str. 11, build. 7, Moscow, 125009; Institutskiy lane, 9, Dolgoprudny, Moscow region, 141701

A. Safin

Kotelnikov Institute of Radioengineering and Electronics of RAS; National Research University “Moscow Power Engineering Institute”

Email: gasanov.ad@phystech.edu
Ресей, Mokhovaya Str. 11, build. 7, Moscow, 125009; Krasnokazarmennaya Str., 14, Moscow, 111250

S. Nikitov

Kotelnikov Institute of Radioengineering and Electronics of RAS; Moscow Institute of Physics and Technology (National Research University); Saratov National Research State University named after N.G. Chernyshevsky

Email: gasanov.ad@phystech.edu
Ресей, Mokhovaya Str. 11, build. 7, Moscow, 125009; Institutskiy lane, 9, Dolgoprudny, Moscow region, 141701; Astrakhanskaya Str., 83, Saratov, 410004

Әдебиет тізімі

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Holstein T., Primakoff H. // Phys. Rev. 1940. V. 58. № 12. P. 1098. http://dx.doi.org/10. 1103/PhysRev.58.1098
Bogoljubov N.N. // Il Nuovo Cimento. 1958. V. 7. № 6. P. 794. http://dx.doi.org/10.1007/BF02745585.
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Әрекет

1. JATS XML

Жүктеу

2. Fig. 1. Schematic diagram of the sample under consideration in an external magnetic field. Magnons are pumped by antenna 1, located in the center of the sample, to which alternating current is supplied. The signal is picked up from two antennas 2 and 3 at the edges of the ferromagnetic film.

Жүктеу (81KB)

Метадеректер

3. Fig. 2. Graph of the dependence of the square of the amplitude in the equilibrium position on the interaction coefficient. The inset shows an enlarged fragment. The solid curve is the stability region, the dashed curve is the instability region.

Жүктеу (243KB)

Метадеректер

4. Fig. 3. Dependences of the real (a) and imaginary (b) parts of the first eigenvalue of the linearized matrix of the system on the interaction coefficient.

Жүктеу (93KB)

Метадеректер

5. Fig. 4. Dependences of the real (a) and imaginary (b) parts of the second eigenvalue of the linearized matrix of the system on the interaction coefficient.