Bound and scattering states in harmonic waveguides in the vicinity of free space Feshbach resonances. (29th July 2016)

• Record Type: Journal Article
• Authors: Wang, Gaoren; Giannakeas, Panagiotis; Schmelcher, Peter
• Is Part Of: Journal of physics. Volume 49:Number 16(2016:Aug. 15)
• Publication Date: 2016-07-29
• Subjects: ultracold atom -- atomic waveguide -- atomic collision -- confinement induced bound state -- Feshbach resonance; Atoms -- Periodicals; Molecules -- Periodicals; Optics -- Periodicals; Nuclear physics -- Periodicals; 539.6
• DOI: 10.1088/0953-4075/49/16/165302
• Languages: English
• ISSNs: 0953-4075

Abstract

Abstract: The two-body bound and scattering properties in an one-dimensional harmonic waveguide close to free space magnetic Feshbach resonances are investigated based on the local frame transformation approach within a single partial wave approximation. An energy and magnetic field dependent free space phase shift is adopted in the current theoretical framework. For both s - and p -wave interaction, the least bound state in the waveguide dissociates into the continuum at the resonant magnetic field where the effective one-dimensional scattering length a 1D diverges. Consequently, the association of atoms into molecules in the waveguide occurs when the magnetic field is swept adiabatically across the pole of a 1D . In the vicinity of broad s -wave resonances, the resonant magnetic field is nearly independent on the transverse confining frequency ω ⊥ of the waveguide. Close to p -wave and narrow s -wave resonances, the resonant magnetic field changes as ω ⊥ varies.