Phase-space localization at the lowest Landau level

Autor:	Craps, Ben, De Clerck, Marine, Evnin, Oleg, Pavlov, Maxim
Rok vydání:	2024
Předmět:	Condensed Matter - Quantum Gases Quantum Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: MATLAB codes available at https://doi.org/10.5281/zenodo.12704876
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.07675 Zobrazit plný text záznamu View this record from Arxiv