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Analytic approximations to the strengths of near-threshold optical Feshbach resonances

Mateusz Borkowski

  • Department of Physics, Columbia University, 538 West 120th Street, New York, New York 10027-5255, USA; Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands; and Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, 87-100 Torun, Poland

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Phys. Rev. A 107, 063101 – Published 1 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.063101

Abstract

Optical Feshbach resonances 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, the excited-state binding energy, the s-wave scattering length, and the Condon point. Additionally, we extend the utility of the optical length to associative stimulated Raman adiabatic passage in three-dimensional 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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Phys. Rev. A 107, 063101– Published 1 June, 2023
  • Received 11 March 2023
  • Accepted 22 May 2023
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