Enhancement of variation of fundamental constants in ultracold atom and molecule systems near Feshbach resonances
Abstract
Scattering length, which can be measured in Bose-Einstein condensate and Feshbach molecule experiments, is extremely sensitive to the variation of fundamental constants, in particular, the electron-to-proton mass ratio (me/mp or me/LambdaQCD, where LambdaQCD is the QCD scale). Based on single- and two-channel scattering model, we show how the variation of the mass ratio propagates to the scattering length. Our results suggest that variation of me/mp on the level of 10-11~10-14 can be detected near a narrow magnetic or an optical Feshbach resonance by monitoring the scattering length on the 1% level. Derived formulae may also be used to estimate the isotopic shift of the scattering length.
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