Quantum Defect Theory description of weakly bound levels and Feshbach resonances in LiRb

Abstract

The multichannel quantum defect theory (MQDT) in combination with the frame transformation (FT) approach is applied to model the Fano-Feshbach resonances measured for ${}^7$Li${}^{87}$Rb and ${}^6$Li${}^{87}$Rb [Marzok {\it et al.} Phys. Rev. A {\bf 79} 012717 (2009)]. The MQDT results show a level of accuracy comparable to that of previous models based on direct, fully numerical solutions of the the coupled channel Schrödinger equations (CC). Here, energy levels deduced from 2-photon photoassociation spectra for ${}^7$Li${}^{85}$Rb are assigned by applying the MQDT approach, obtaining the bound state energies for the coupled channel problem. Our results confirm that MQDT yields a compact description of photoassociation observables as well as the Fano-Feshbach resonance positions and widths.

arXiv comment19 pages, 2 figures and 4 tables

References in corpus (25)

• Feshbach Resonances in Ultracold Gases
• Production of cold molecules via magnetically tunable Feshbach resonances
• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Quantum phases of dipolar bosons in optical lattices
• Roton-maxon spectrum and stability of trapped dipolar condensates
• Measurement of the electron electric dipole moment using YbF molecules
• Cold Molecule Spectroscopy for Constraining the Evolution of the Fine Structure Constant
• Trapped atomic condensates with anisotropic interactions
• Molecules Near Absolute Zero and External Field Control of Atomic and Molecular Dynamics
• Linking Ultracold Polar Molecules
• Production of cold formaldehyde molecules for study and control of chemical reaction dynamics with hydroxyl radicals
• Ultracold molecules: new probes on the variation of fundamental constants
• Multichannel quantum-defect theory for slow atomic collisions
• Feshbach resonances in mixtures of ultracold ${}^6$Li and ${}^{87}$Rb gases
• Feshbach resonances in an ultracold ${}^7$Li and ${}^{87}$Rb mixture
• Feshbach resonances in ultracold 85Rb-87Rb and 6Li-87Rb mixtures
• Multichannel Quantum Defect Theory for cold molecular collisions
• Quantum Defect Theory for High Partial Wave Cold Collisions
• Photoassociation of ultracold LiRb* molecules: observation of high efficiency and unitarity-limited rate saturation
• Prediction of Feshbach resonances from three input parameters
• Analyzing Feshbach resonances -- A ${}^6$Li -${}^{133}$Cs case study
• Formation of ultracold LiRb molecules by photoassociation near the Li (2s 2S1/2) + Rb (5p 2P1/2) asymptote
• Interspecies collision-induced losses in a dual species 7Li-85Rb magneto-optical trap
• Effects of Electric Fields on Heteronuclear Feshbach Resonances in Ultracold ${}^6\mathrm{Li}{-}^{87}\mathrm{Rb}$ Mixtures
• Feshbach-optimized photoassociation of ultracold ${}^6$Li${}^{87}$Rb molecules with short pulses

Cited by in corpus (5)

• Two-photon photoassociation spectroscopy of an ultracold heteronuclear molecule
• Short-range Photoassociation of LiRb
• Cross-dimensional relaxation of ${}^7$Li-${}^{87}$Rb atomic gas mixtures in a spherical-quadrupole magnetic trap
• Multichannel quantum defect theory with a frame transformation for ultracold atom-molecule collisions in magnetic fields
• Universality and threshold laws for collision lifetimes at ultralow temperatures