Enhancement of variation of fundamental constants in ultracold atom and molecule systems near Feshbach resonances

Details Enhancement of variation of fundamental constants in ultracold atom and molecule systems near Feshbach resonances Enhancement of variation of fundamental constants in ultracold atom and molecule systems near Feshbach resonances

2006-03-23

arxiv.org/abs/cond-mat/0603607v2

Phys.Rev.Lett.96:230801,2006

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevLett.96.230801

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 (m_e/m_p or m_e/Lambda_{QCD}, where Lambda_{QCD} 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 m_e/m_p 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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