Confinement-induced resonance from the generalized Gross-Pitaevskii equations
Autor: | Cherny, Alexander Yu. |
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Rok vydání: | 2024 |
Předmět: | |
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 |
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