Thermalized Abrikosov lattices from decaying turbulence in rotating BECs
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866916248152965120 |
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| author | Estrada, Julian Amette Brachet, Marc E. Mininni, Pablo D. |
| author_facet | Estrada, Julian Amette Brachet, Marc E. Mininni, Pablo D. |
| contents | We study the long-time decay of rotating turbulence in Bose-Einstein condensates (BECs). We consider the Gross-Pitaevskii equation in a rotating frame of reference, and review different formulations for the Hamiltonian of a rotating BEC. We discuss how the energy can be decomposed, and present a method to generate out-of-equilibrium initial conditions. We also present a method to generate finite-temperature states of rotating BECs compatible with the Canonical or the Grand canonical ensembles. Finally, we integrate numerically rotating BECs in cigar-shaped traps. A transition is found in the system dynamics as the rotation rate is increased, with a final state of the decay of the turbulent flow compatible with an Abrikosov lattice in a finite-temperature thermalized state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_13822 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Thermalized Abrikosov lattices from decaying turbulence in rotating BECs Estrada, Julian Amette Brachet, Marc E. Mininni, Pablo D. Quantum Gases Fluid Dynamics Quantum Physics We study the long-time decay of rotating turbulence in Bose-Einstein condensates (BECs). We consider the Gross-Pitaevskii equation in a rotating frame of reference, and review different formulations for the Hamiltonian of a rotating BEC. We discuss how the energy can be decomposed, and present a method to generate out-of-equilibrium initial conditions. We also present a method to generate finite-temperature states of rotating BECs compatible with the Canonical or the Grand canonical ensembles. Finally, we integrate numerically rotating BECs in cigar-shaped traps. A transition is found in the system dynamics as the rotation rate is increased, with a final state of the decay of the turbulent flow compatible with an Abrikosov lattice in a finite-temperature thermalized state. |
| title | Thermalized Abrikosov lattices from decaying turbulence in rotating BECs |
| topic | Quantum Gases Fluid Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2208.13822 |