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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Bibliographic Details
Main Authors Craps, Ben, De Clerck, Marine, Evnin, Oleg, Pavlov, Maxim
Format Journal Article
LanguageEnglish
Published 10.07.2024
Subjects
Physics - Quantum Gases
Physics - Quantum Physics
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Summary: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.
DOI:10.48550/arxiv.2407.07675