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Analytic approximations to the strengths of near-threshold optical Feshbach resonances
Atomic Physics · Submitted 16 Nov 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Here we give fully analytic approximate expressions for its magnitude applicable to near-threshold bound states of an excited molecular state dominated by a single resonant-dipole or van der Waals interaction.
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Optical Feshbach resonances (OFRs) allow one to control cold atomic scattering, produce ultracold molecules and study atomic interactions via photoassociation spectroscopy. In the limit of ultracold s-wave collisions the strength of an optical Feshbach resonance can be expressed via an energy-independent parameter called the optical length. Here we give fully analytic approximate expressions for its magnitude applicable to near-threshold bound states of an excited molecular state dominated by a single resonant-dipole or van der Waals interaction. We express these magnitudes in terms of intuitive quantities, such as the laser intensity, excited state binding energy, the s-wave scattering length and the Condon point. Additionally, we extend the utility of the optical length to associative STIRAP in 3D optical lattices by showing that the free-bound Rabi frequency induced by a laser coupling a pair of atoms in an optical lattice site can be approximately related to the trap frequency and the optical length.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Optical Feshbach resonances (OFRs) allow one to control cold atomic scattering, produce ultracold molecules and study atomic interactions via photoassociation spectroscopy. | background 1.00 | 0.05 | 0.03 | asserted 1.00 |
| s1 | In the limit of ultracold s-wave collisions the strength of an optical Feshbach resonance can be expressed via an energy-independent parameter called the optical length. | background 1.00 | 0.07 | 0.06 | asserted 1.00 |
| s2 | Here we give fully analytic approximate expressions for its magnitude applicable to near-threshold bound states of an excited molecular state dominated by a single resonant-dipole or van der Waals interaction. | contribution 0.99 | 0.96 | 0.65 | asserted 1.00 |
| s3 | We express these magnitudes in terms of intuitive quantities, such as the laser intensity, excited state binding energy, the s-wave scattering length and the Condon point. | contribution 0.54 | 0.93 | 0.16 | asserted 1.00 |
| s4 | Additionally, we extend the utility of the optical length to associative STIRAP in 3D optical lattices by showing that the free-bound Rabi frequency induced by a laser coupling a pair of atoms in an optical lattice site can be approximately related to the trap frequency and the optical length. | contribution 0.82 | 0.94 | 0.18 | asserted 1.00 |
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Original abstract
Optical Feshbach resonances (OFRs) allow one to control cold atomic scattering, produce ultracold molecules and study atomic interactions via photoassociation spectroscopy. In the limit of ultracold s-wave collisions the strength of an optical Feshbach resonance can be expressed via an energy-independent parameter called the optical length. Here we give fully analytic approximate expressions for its magnitude applicable to near-threshold bound states of an excited molecular state dominated by a single resonant-dipole or van der Waals interaction. We express these magnitudes in terms of intuitive quantities, such as the laser intensity, excited state binding energy, the s-wave scattering length and the Condon point. Additionally, we extend the utility of the optical length to associative STIRAP in 3D optical lattices by showing that the free-bound Rabi frequency induced by a laser coupling a pair of atoms in an optical lattice site can be approximately related to the trap frequency and the optical length.
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What it cites · 13 sentences without a confident label
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Here $λ_a=555.8$ nm, $f_rot = 1/3$ [ref] , $C_3^e =(3/2)(λ/2π)^3ħγ_a≈0.1949 E_h a_0^3$ (for $γ_a = 2π×183 kHz$), $C_6^g≈1937 E_h a_0^6$, $C_8^g≈2.265×10^5 E_h a_0$ and the $^168$Yb, $^172$Yb and $^174$Yb scattering lengths are $+253 a_0$, $-593 a_0$ and $+105 a_0$ [ref] .
Optical Feshbach resonances: Field-dressed theory and comparison with experiments · Introduction · 0.99
Compares with 1 paper
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The extracted optical length agrees to within 1.4 mutual sigma with the experimental $l_opt = 228(42) a_0$ measured by the JQI group [ref] .
Narrow-line photoassociation spectroscopy and mass-scaling of bosonic strontium · Introduction · 0.99
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