Work

Phase-space localization at the lowest Landau level

Year: 2024
Type: article
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 distributions of quantum energy eigenstates in the classical phase space of the Schr\"odinger field. With interactions turned off, the energy levels are highly degenerate and the Husimi distributions do not manifest any particular localization properties. With interactions turned on, the degeneracy is lifted, and a selection of energy levels emerges whose Husimi distributions are localized around low-dimensional surfaces in the phase space.
Language: English
Open Access status: green
OpenAlex ID: W4405834029
FWCI: 0.319
Cites: 50
Cited by: 2
Related to: 10