Magnetic Feshbach resonances between atoms in ${}^2$S and ${}^3$P${}_0$ states: mechanisms and dependence on atomic properties

Abstract

Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in ${}^2$S and ${}^3$P${}_0$ states, such as an alkali-metal atom colliding with Yb or Sr in a clock state. We investigate the mechanisms of these resonances and identify the terms in the collision Hamiltonian responsible for them. They involve indirect coupling between the open and closed channels, via intermediate channels involving atoms in ${}^3$P${}_1$ states. The resonance widths are generally proportional to the square of the magnetic field and are strongly enhanced when the magnitude of the background scattering length is large. For any given pair of atoms, the scattering length can be tuned discretely by choosing different isotopes of the ${}^3$P${}_0$ atom. For each combination of an alkali-metal atom and either Yb or Sr, we consider the prospects of finding an isotopic combination that has both a large background scattering length and resonances at high but experimentally accessible field. We conclude that ${}^{87}$Rb+Yb, Cs+Yb and ${}^{85}$Rb+Sr are particularly promising combinations.

arXiv comment11 pages, 9 figures and 2 tables

References in corpus (34)

• Feshbach Resonances in Ultracold Gases
• A toolbox for lattice spin models with polar molecules
• High-precision calculations of van der Waals coefficients for heteronuclear alkali-metal dimers
• MOLSCAT: a program for non-reactive quantum scattering calculations on atomic and molecular collisions
• Molecule formation in ultracold atomic gases
• Properties of metastable alkaline-earth-metal atoms calculated using an accurate effective core potential
• Ultracold RbSr molecules can be formed by magnetoassociation
• Dynamic polarizabilities and related properties of clock states of ytterbium atom
• Laser cooling of molecules
• Production of ultracold heteronuclear YbRb* molecules by photoassociation
• Observation of Feshbach resonances between alkali and closed-shell atoms
• Quantum Degenerate Mixture of Ytterbium and Lithium Atoms
• Magnetically tunable Feshbach resonances in ultracold Li-Yb mixtures
• The prospects of forming ultracold molecules in ${}^2\Sigma$ states by magnetoassociation of alkali-metal atoms with Yb
• External field control of collective spin excitations in an optical lattice of ${}^2\Sigma$ molecules
• Sympathetic cooling in an optically trapped mixture of alkali and spin-singlet atoms
• Shielding ${}^2\Sigma$ ultracold dipolar molecular collisions with electric fields
• Scattering lengths in isotopologues of the RbYb system
• Electron EDM searches based on alkali or alkaline earth bearing molecules
• Infrared-dressed entanglement of cold open-shell polar molecules for universal matchgate quantum computing
• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• BOUND and FIELD: programs for calculating bound states of interacting pairs of atoms and molecules
• Spatial separation in a thermal mixture of ultracold ${}^{174}$Yb and ${}^{87}$Rb atoms
• Two-photon photoassociation spectroscopy of CsYb: ground-state interaction potential and interspecies scattering lengths
• Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics
• Ground and excited state properties of the polar and paramagnetic RbSr molecule: a comparative study
• Photoassociative production of ultracold heteronuclear YbLi* molecules
• Production of ultracold Cs*Yb molecules by photoassociation
• Interspecies thermalization in an ultracold mixture of Cs and Yb in an optical trap
• Sensitive imaging of electromagnetic fields with paramagnetic polar molecules
• Simple Theoretical Models for Resonant Cold Atom Interactions
• Magnetic Feshbach resonances in ultracold collisions between Cs and Yb atoms
• Two-photon photoassociation spectroscopy of the ${}^2{\Sigma }^{+}$ YbLi molecular ground state
• Feshbach resonances and molecule formation in ultracold mixtures of Rb and Yb(${}^3$P) atoms

Cited by in corpus (1)

• Intercombination line photoassociation spectroscopy of ${}^{87}$Rb${}^{170}$Yb