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

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Systematics & Ultimate ReachInitial work will be on large cloud, but here we estimate reach <strong>of</strong>ultimate single-molecule experiment, based on current ion clocksFor <strong>the</strong> case <strong>of</strong> Se 2+ (0.17 Hz shift <strong>for</strong> 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

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