Optical Control of the Scattering Length and Effective Range for Magnetically Tunable Feshbach Resonances in Ultracold Gases

Abstract

We describe two-field optical techniques to control interactions in Feshbach resonances for two-body scattering in ultra-cold gases. These techniques create a molecular dark state in the closed channel of a magnetically tunable Feshbach resonance, greatly suppressing optical scattering compared to single optical field methods. The dark-state method enables control of the effective range, by creating narrow features that modify the energy dependence of the scattering phase shift, as well as control of the elastic and inelastic parts of the zero-energy s-wave scattering amplitude. We determine the scattering length and the effective range from an effective range expansion, by calculating the momentum-dependent scattering phase shift from the two-body scattering state.

13 pages, 6 figures, 4 tables

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Tuning the scattering length with an optically induced Feshbach resonance
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Controlling a magnetic Feshbach resonance with laser light
• Realization of a Resonant Fermi Gas with a Large Effective Range
• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
• Optical control of Feshbach resonances in Fermi gases using molecular dark states

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