Confinement-induced resonance from the generalized Gross-Pitaevskii equations

Autor:	Cherny, Alexander Yu.
Rok vydání:	2024
Předmět:	Condensed Matter - Quantum Gases Condensed Matter - Statistical Mechanics
Zdroj:	Phys. Rev. A 110, 023309 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.110.023309
Popis:	The confinement-induced resonances for trapped bosons in the cigar-shaped and pancake geometries are studied within the generalized Gross-Pitaevskii equations, which are a simplified version of the Hartree-Fock-Bogoliubov approximation. Although the Hartree-Fock-Bogoliubov method is considered applicable only for small interparticle interactions, the resonance denominators for the chemical potential are obtained in both quasi-one and quasi-two dimensions. A useful integral representation of the one-particle Green's function are found for the cylindrical confinement. We find the position of a smoothed resonance for the chemical potential in the pancake geometry at positive scattering length. Comment: 9 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.15872 Zobrazit plný text záznamu View this record from Arxiv