Phase-space localization at the lowest Landau level
We consider bosons with weak contact interactions in a harmonic trap and focus on states at the lowest Landau level. Motivated by the known nontrivial phase-space topography of the energy functional of the corresponding Gross-Pitaevskii equation, we explore Husimi densities of quantum energy eigenst...
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| Main Authors | , , , |
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| Format | Journal Article |
| Language | English |
| Published |
10.07.2024
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| Subjects | |
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| Abstract | We consider bosons with weak contact interactions in a harmonic trap and
focus on states at the lowest Landau level. Motivated by the known nontrivial
phase-space topography of the energy functional of the corresponding
Gross-Pitaevskii equation, we explore Husimi densities of quantum energy
eigenstates in the classical phase space of the Schroedinger field. With
interactions turned off, the energy levels are highly degenerate and the Husimi
densities do not manifest any particular localization properties. With
interactions turned on, the degeneracy is lifted, and a selection of energy
levels emerges whose Husimi densities are localized around low-dimensional
surfaces in the phase space. |
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| AbstractList | We consider bosons with weak contact interactions in a harmonic trap and
focus on states at the lowest Landau level. Motivated by the known nontrivial
phase-space topography of the energy functional of the corresponding
Gross-Pitaevskii equation, we explore Husimi densities of quantum energy
eigenstates in the classical phase space of the Schroedinger field. With
interactions turned off, the energy levels are highly degenerate and the Husimi
densities do not manifest any particular localization properties. With
interactions turned on, the degeneracy is lifted, and a selection of energy
levels emerges whose Husimi densities are localized around low-dimensional
surfaces in the phase space. |
| Author | Pavlov, Maxim Craps, Ben De Clerck, Marine Evnin, Oleg |
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| BackLink | https://doi.org/10.48550/arXiv.2407.07675$$DView paper in arXiv |
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| Snippet | We consider bosons with weak contact interactions in a harmonic trap and
focus on states at the lowest Landau level. Motivated by the known nontrivial... |
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| SubjectTerms | Physics - Quantum Gases Physics - Quantum Physics |
| Title | Phase-space localization at the lowest Landau level |
| URI | https://arxiv.org/abs/2407.07675 |
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