Turbulence and far-from-equilibrium equation of state of Bogoliubov waves in Bose-Einstein Condensates
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908996016799744 |
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| author | Zhu, Ying Krstulovic, Giorgio Nazarenko, Sergey |
| author_facet | Zhu, Ying Krstulovic, Giorgio Nazarenko, Sergey |
| contents | Bogoliubov waves are fundamental excitations of Bose-Einstein Condensates (BECs). They emerge from a perturbed ground state and interact nonlinearly, triggering turbulent cascades. Here, we study turbulent BECs theoretically and numerically using the 3D Gross-Pitaevskii model and its associated wave-kinetic equations. We derive a new Kolmogorov-like stationary spectrum for short Bogoliubov waves and find a complete analytical expression for the spectrum in the long-wave acoustic regime. We then use our predictions to explain the BEC equation of state reported by Dogra et al. (Nature 620, 521, 2023), and to suggest new experimental settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15163 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Turbulence and far-from-equilibrium equation of state of Bogoliubov waves in Bose-Einstein Condensates Zhu, Ying Krstulovic, Giorgio Nazarenko, Sergey Quantum Gases Chaotic Dynamics Atomic Physics Fluid Dynamics Bogoliubov waves are fundamental excitations of Bose-Einstein Condensates (BECs). They emerge from a perturbed ground state and interact nonlinearly, triggering turbulent cascades. Here, we study turbulent BECs theoretically and numerically using the 3D Gross-Pitaevskii model and its associated wave-kinetic equations. We derive a new Kolmogorov-like stationary spectrum for short Bogoliubov waves and find a complete analytical expression for the spectrum in the long-wave acoustic regime. We then use our predictions to explain the BEC equation of state reported by Dogra et al. (Nature 620, 521, 2023), and to suggest new experimental settings. |
| title | Turbulence and far-from-equilibrium equation of state of Bogoliubov waves in Bose-Einstein Condensates |
| topic | Quantum Gases Chaotic Dynamics Atomic Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2408.15163 |