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 (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.

References in corpus (4)

• Tuning the scattering length with an optically induced Feshbach resonance
• Feshbach resonances in rubidium 87: Precision measurement and analysis
• Efficient creation of molecules from a cesium Bose-Einstein condensate
• Formation of molecules from a Cs Bose-Einstein condensate

Cited by in corpus (23)

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• Quantum limited measurements of atomic scattering properties
• Avoided crossings between bound states of ultracold Cesium dimers
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• High sensitivity to mass-ratio variation in deep molecular potentials
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• Nuclear-spin dependent parity violation in diatomic molecular ions
• Collective oscillations of dipolar Bose-Einstein condensates and accurate comparison between contact and dipolar interaction
• Enhanced association and dissociation of heteronuclear Feshbach molecules in a microgravity environment
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• Direct Observation of Resonant Scattering Phase Shifts and their Energy Dependence
• Atomic Clock Measurements of Quantum Scattering Phase Shifts Spanning Feshbach Resonances at Ultralow Fields
• Quenched Magneto-association of Ultracold Feshbach Molecules
• Features of Molecular Structure Beneficial for Optical Pumping
• Delta-Kick Collimation of Heteronuclear Feshbach Molecules