Dipolar confinement-induced molecular states in harmonic waveguides. (16th January 2018)

• Record Type: Journal Article
• Authors: Wang, Gaoren; Giannakeas, Panagiotis; Schmelcher, Peter
• Is Part Of: Journal of physics. Volume 51:Number 3(2018:Feb. 01)
• Publication Date: 2018-01-16
• Subjects: ultracold dipole gas -- atomic waveguide -- dipolar confinement-induced bound state -- local frame transformation approach; Atoms -- Periodicals; Molecules -- Periodicals; Optics -- Periodicals; Nuclear physics -- Periodicals; 539.6
• DOI: 10.1088/1361-6455/aa9c32
• Languages: English
• ISSNs: 0953-4075

Abstract

Abstract: The bound states of two identical dipoles in a harmonic waveguide are investigated. In the regime of weak dipole–dipole interactions, the local frame transformation method is applied to determine the spectrum of dipolar confinement-induced bound states analytically. The accuracy of the local frame transformation approach is discussed by comparing the analytical results with the numerical ones based on a solution of the close-coupling equations. It is found that close to the threshold energy in the waveguide, the local frame transformation method needs to include more partial wave states to obtain accurate bound state energies. As the binding energy increases, the local frame transformation method using a single partial wave state becomes more accurate. We also compare the bound states in waveguides and in free space. For the bosonic case, the s -wave dominated bound state looks like a free-space state when its energy is below a certain value. For the fermionic case, the p -wave dominated bound state energies in waveguides and in free-space coincide even close to zero energy.