Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic Films
In this paper, we theoretically investigate the stability of spin-wave solitons in Bose-Einstein condensates of repulsive magnons, confined by an inhomogeneous external magnetic field described by a Gaussian well. For this purpose, we use the quasi-one-dimensional Gross-Pitaevskii equation to descri...
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| Format: | Article |
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MDPI AG
2022-03-01
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| Online Access: | https://www.mdpi.com/1996-1944/15/7/2551 |
| _version_ | 1797438629631492096 |
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| author | Lucas Carvalho Pereira Valter Aragão do Nascimento |
| author_facet | Lucas Carvalho Pereira Valter Aragão do Nascimento |
| author_sort | Lucas Carvalho Pereira |
| collection | DOAJ |
| description | In this paper, we theoretically investigate the stability of spin-wave solitons in Bose-Einstein condensates of repulsive magnons, confined by an inhomogeneous external magnetic field described by a Gaussian well. For this purpose, we use the quasi-one-dimensional Gross-Pitaevskii equation to describe the behavior of the condensate. In order to solve the Gross-Pitaevskii equation, we used two different approaches: one analytical (variational method) and another numerical (split-step Crank-Nicolson method). The stability of the solutions and the validation of the numerical results were confirmed, respectively, through the anti-VK criterion and the virial theorem. Furthermore, the simulations described the behavior of physical quantities of interest such as chemical potential, energy per magnon and central density as a function of the nonlinearity of the model (magnon-magnon interactions). The theoretical results provide subsidies for a better understanding of the nonlinear phenomena related to the Bose-Einstein condensates of magnons in ferromagnetic films. |
| first_indexed | 2024-03-09T11:40:49Z |
| format | Article |
| id | doaj.art-fcff814ba4f84888b8b556e3d12488f3 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T11:40:49Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-fcff814ba4f84888b8b556e3d12488f32023-11-30T23:33:42ZengMDPI AGMaterials1996-19442022-03-01157255110.3390/ma15072551Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic FilmsLucas Carvalho Pereira0Valter Aragão do Nascimento1Postgraduation Program in Materials Science, Institute of Physics, Federal University of Mato Grosso do Sul, Campo Grande 79070-900, Mato Grosso do Sul, BrazilGroup of Spectroscopy and Bioinformatics Applied to Biodiversity and Health, School of Medicine, Postgraduation Program in Health and Development in the Midwest Region, Faculty of Medicine, Federal University of Mato Grosso do Sul, Campo Grande 79070-900, Mato Grosso do Sul, BrazilIn this paper, we theoretically investigate the stability of spin-wave solitons in Bose-Einstein condensates of repulsive magnons, confined by an inhomogeneous external magnetic field described by a Gaussian well. For this purpose, we use the quasi-one-dimensional Gross-Pitaevskii equation to describe the behavior of the condensate. In order to solve the Gross-Pitaevskii equation, we used two different approaches: one analytical (variational method) and another numerical (split-step Crank-Nicolson method). The stability of the solutions and the validation of the numerical results were confirmed, respectively, through the anti-VK criterion and the virial theorem. Furthermore, the simulations described the behavior of physical quantities of interest such as chemical potential, energy per magnon and central density as a function of the nonlinearity of the model (magnon-magnon interactions). The theoretical results provide subsidies for a better understanding of the nonlinear phenomena related to the Bose-Einstein condensates of magnons in ferromagnetic films.https://www.mdpi.com/1996-1944/15/7/2551Bose-Einstein condensates of magnonsGross-Pitaevskii equationspin-wave solitonsferromagnetic films |
| spellingShingle | Lucas Carvalho Pereira Valter Aragão do Nascimento Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic Films Materials Bose-Einstein condensates of magnons Gross-Pitaevskii equation spin-wave solitons ferromagnetic films |
| title | Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic Films |
| title_full | Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic Films |
| title_fullStr | Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic Films |
| title_full_unstemmed | Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic Films |
| title_short | Stability of Spin-Wave Solitons in Bose-Einstein Condensates of Magnons: A Possible Application in Ferromagnetic Films |
| title_sort | stability of spin wave solitons in bose einstein condensates of magnons a possible application in ferromagnetic films |
| topic | Bose-Einstein condensates of magnons Gross-Pitaevskii equation spin-wave solitons ferromagnetic films |
| url | https://www.mdpi.com/1996-1944/15/7/2551 |
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