Dynamics of quasi-one-dimensional quantum droplets in Bose-Bose mixtures
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910521318440960 |
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| author | Otajonov, Sherzod R. Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. |
| author_facet | Otajonov, Sherzod R. Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. |
| contents | The properties of quasi-one-dimensional quantum droplets of Bose-Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum fluctuations. Through the development of a variational approach employing the super-Gaussian function, we identify stationary parameters for the quantum droplets. The frequency of breathing mode oscillations in these quantum droplets is estimated. Moreover, the study reveals that periodic modulation in time of the atomic scattering length induces resonance oscillations in quantum droplet parameters or the emission of linear waves, contingent on the amplitude of the external modulation. A similar analysis is conducted for the Lee-Huang-Yang fluid, confined in a parabolic potential. Theoretical predictions are corroborated through direct numerical simulations of the governing extended Gross-Pitaevskii equation. Additionally, we study the collision dynamics of quasi-one-dimensional quantum droplets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07384 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics of quasi-one-dimensional quantum droplets in Bose-Bose mixtures Otajonov, Sherzod R. Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. Quantum Gases Pattern Formation and Solitons The properties of quasi-one-dimensional quantum droplets of Bose-Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum fluctuations. Through the development of a variational approach employing the super-Gaussian function, we identify stationary parameters for the quantum droplets. The frequency of breathing mode oscillations in these quantum droplets is estimated. Moreover, the study reveals that periodic modulation in time of the atomic scattering length induces resonance oscillations in quantum droplet parameters or the emission of linear waves, contingent on the amplitude of the external modulation. A similar analysis is conducted for the Lee-Huang-Yang fluid, confined in a parabolic potential. Theoretical predictions are corroborated through direct numerical simulations of the governing extended Gross-Pitaevskii equation. Additionally, we study the collision dynamics of quasi-one-dimensional quantum droplets. |
| title | Dynamics of quasi-one-dimensional quantum droplets in Bose-Bose mixtures |
| topic | Quantum Gases Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2407.07384 |