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Systematics & Ultimate ReachInitial work will be on large cloud, but here we estimate reach ofultimate single-molecule experiment, based on current ion clocksFor the case of Se 2+ (0.17 Hz shift for Δμ/μ = 10 -15 ) :EffectShift (μHz)Uncertainty (μHz)σ(Δμ/μ) ∗ 10 -191 st -order Doppler00.000 1~02 nd -order Doppler0.0020.002~0Quadratic Zeeman, DC1000504Quadratic Zeeman, AC100503Electric Quadrupole01006Stark, micromotion50503Stark, blackbody~0~0~0Stark, light shift???• Note that 100 μHz accuracy is already achieved in NIST 7-Hg-ion μwave clock•1 st and 2 nd -order Doppler shifts are very small due to μwave spectroscopy in trap• μwave spectroscopy also allows large trap and low AC fields, reducing systematics• Cryogenic operation is required to obtain a low blackbody stark shift
Comparison of ProposalsIon trap, high Eby direct driveLattice, mediumE by direct drivefreq. shift sens. prec. enh. reachIon trap, low Ewith degeneracyFountain, mediumE with degeneracyIon trap, high nwith degeneracy(Spontaneous emission lifetimes not yet calculated, but can be > 1 s)This proposal allows sensitivity to Δμto potentially pass current limits on Δα
Page 1 and 2: Search for Time-Variation of theEle
Page 3 and 4: Sympathetic Cooling of Molecular Io
Page 5 and 6: Limitations of FOM 1Some systematic
Page 8 and 9: Vibrational / F.S. Degeneracy Propo
Page 10 and 11: This ProposalApproach: exploit dege
Page 14: Conclusions• Linear rf-trap, allo

Search for Time-Variation of the Electron-Proton Mass Ratio (Î¼) with ...

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