Prospects for Polar Molecular Ion Optical Probe of Varying Proton-Electron Mass Ratio

Abstract

Molecules with deep vibrational potential wells provide optical intervals sensitive to variation in the proton-electron mass ratio ($\mu$). On one hand, polar molecules are of interest since optical state preparation techniques have been demonstrated for such species. On the other hand, it might be assumed that polar species are unfavorable candidates, because typical molecule-frame dipole moments reduce vibrational state lifetimes and cause large polarizabilities and associated Stark shifts. Here, we consider single-photon spectroscopy on a vibrational overtone transition of the polar species TeH${}^{+}$, which is of practical interest because its diagonal Franck-Condon factors should allow rapid state preparation by optical pumping. We point out that all but the ground rotational state obtains a vanishing low-frequency scalar polarizability from coupling with adjacent rotational states, because of a fortuitous relationship between rigid rotor spacings and dipole matrix elements. We project that for good choices of spectroscopy states, demonstrated levels of field control should make possible uncertainties of order $1\times 10^{-18}$, similar to those of leading atomic ion clocks. The moderately long lived vibrational states of TeH${}^{+}$ make possible a frequency uncertainty approaching $1\times 10^{-17}$ with one day of averaging for a single trapped ion. Observation over one year could probe for variation of $\mu$ with a sensitivity approaching the $1\times 10^{-18}/\text{yr}$ level.

References in corpus (23)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• Frequency ratio of two optical clock transitions in ${}^{171}$Yb${}^{+}$ and constraints on the time-variation of fundamental constants
• Improved limit on a temporal variation of $m_p/m_e$ from comparisons of Yb${}^{+}$ and Cs atomic clocks
• Precision Test of Mass Ratio Variations with Lattice-Confined Ultracold Molecules
• Stability of the proton-to-electron mass ratio
• Preparation and coherent manipulation of pure quantum states of a single molecular ion
• Enhanced sensitivity to variation of $m_e/m_p$ in molecular spectra
• Non-destructive state detection for quantum logic spectroscopy of molecular ions
• Enhanced sensitivity to time-variation of m_p/m_e in the inversion spectrum of ammonia
• Precise determination of micromotion for trapped-ion optical clocks
• Sympathetic ground state cooling and time-dilation shifts in an ${}^{27}{\text{Al}}^{+}$ optical clock
• Enhancement of variation of fundamental constants in ultracold atom and molecule systems near Feshbach resonances
• Prospects for atomic clocks based on large ion crystals
• The static and dynamic polarisability, and the Stark and black-body radiation frequency shifts of the molecular hydrogen ions H2+, HD+, and D2+
• $\Lambda$-doublet spectra of diatomic radicals and their dependence on fundamental constants
• Mass scaling and non-adiabatic effects in photoassociation spectroscopy of ultracold strontium atoms
• High sensitivity to mass-ratio variation in deep molecular potentials
• Observation of vibrational overtones by single molecule resonant photodissociation
• Suppression of clock shifts at field-insensitive transitions
• Optical Pumping of TeH+: Implications for the Search for Varying mp/me
• Canceling spin-dependent contributions and systematic shifts in precision spectroscopy of the molecular hydrogen ions
• Measurement of differential polarizabilities at a mid-infrared wavelength in ${}^{171}{\mathrm{Yb}}^{+}$

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• Quantum control of molecules for fundamental physics
• Two-photon vibrational transitions in ${\mathrm{O}}_2^{+}$ as probes of variation of the proton-to-electron mass ratio
• Precisely Spun Super Rotors
• Features of Molecular Structure Beneficial for Optical Pumping