Quantum Defect Theory for Orbital Feshbach Resonance
arXiv:1607.07513 · doi:10.1103/PhysRevA.95.013624
Abstract
In the ultracold gases of alkali-earth (like) atoms, a new type of Feshbach resonance, i.e., the orbital Feshbach resonance (OFR), has been proposed and experimentally observed in ultracold Yb atoms. When the OFR of the Yb atoms occurs, the energy gap between the open and closed channels is smaller by two orders of magnitudes than the van der Waals energy. As a result, quantitative accurate results for the low-energy two-body problems can be obtained via multi-channel quantum defect theory (MQDT), which is based on the exact solution of the Schrdinger equation with the van der Waals potential. In this paper we use the MQDT to calculate the two-atom scattering length, effective range, and the binding energy of two-body bound states for the systems with OFR. With these results we further study the clock-transition spectrum for the two-body bound states, which can be used to experimentally measure the binding energy. Our results are helpful for the quantitative theoretical and experimental researches for the ultracold gases of alkali-earth (like) atoms with OFR.
arXiv comment11 pages, 6 figuers
References in corpus (22)
- Feshbach Resonances in Ultracold Gases
- Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
- Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
- Direct observation of coherent inter-orbital spin-exchange dynamics
- Observation of an orbital interaction-induced Feshbach resonance in 173-Yb
- A strongly interacting gas of two-electron fermions at an orbital Feshbach resonance
- Orbital Feshbach Resonance in Alkali-Earth Atoms
- Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
- Multichannel quantum-defect theory for slow atomic collisions
- Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
- Kondo Effect in Alkali-Earth Atomic Gases with Confinement-induced Resonance
- Analytic description of atomic interaction at ultracold temperatures II: Scattering around a magnetic Feshbach resonance
- Strongly correlated Fermi superfluid near an orbital Feshbach resonance: Stability, equation of state and Leggett mode
- Orbital Feshbach Resonance: A "Wide" Narrow Resonance for Higher Transition Temperature Fermi Superfluid
- Two-band superfluidity and intrinsic Josephson effect in alkaline-earth Fermi gases across an orbital Feshbach resonance
- Spin-orbit coupled correlated metal phase in Kondo lattices: an implementation with alkaline-earth atoms
- One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
- Detection of Fermi Pairing via Electromagnetically Induced Transparency
- Orbital Feshbach Resonance with Small Energy Gap between Open and Closed Channels
- Momentum-resolved Raman spectroscopy of bound molecules in ultracold Fermi gas
- Universal relations of strongly interacting Fermi gases with multiple scattering channels
- Dissociation of Feshbach molecules via spin-orbit coupling in ultracold Fermi gases
Cited by in corpus (6)
- Interaction Control of Ultracold Alkaline-Earth Atoms
- Coherent Manipulation of Orbital Feshbach Molecules of Two-Electron Atoms
- Repulsive polarons in alkaline-earth(-like) atoms across an orbital Feshbach resonance
- Frustrated orbital Feshbach resonances in a Fermi gas
- Universal energy-dependent pseudopotential for the two-body problem of confined ultracold atoms
- Analytical solutions of the Schrödinger equation for two confined atoms with van der Waals interaction