Current browse context:
cond-mat.quant-gas
Change to browse by:
References & Citations
Condensed Matter > Quantum Gases
Title: Confinement-induced resonance from the generalized Gross-Pitaevskii equations
(Submitted on 24 Apr 2024)
Abstract: 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.
Submission history
From: Alexander Cherny Yu. [view email][v1] Wed, 24 Apr 2024 13:38:36 GMT (49kb)
Link back to: arXiv, form interface, contact.