Precise Determination of Excited State Rotational Constants and Black-Body Thermometry in Coulomb Crystals of Ca${}^{+}$ and CaH${}^{+}$

Abstract

We present high-resolution rovibronic spectroscopy of calcium monohydride molecular ions (CaH${}^{+}$) co-trapped in a Coulomb crystal with calcium ions (${}^{40}$Ca${}^{+}$), focusing on rotational transitions in the $|X^1{\Sigma }^{+},\nu "=0>\to |A^1{\Sigma }^{+},{\nu }^{\prime }=2>$ manifold. By resolving individual P and R branch transitions with record precision and using Fortrat analysis, we extract key spectroscopic constants for the excited state $|A^1{\Sigma }^{+},{\nu }^{\prime }=2>$, specifically, the band origin, the rotational constant, and the centrifugal correction. Additionally, we demonstrate the application of high-resolution rotational spectroscopy of CaH${}^{+}$ presented here as an in-situ probe of local environmental temperature. We correlate the relative amplitudes of the observed transitions to the underlying thermalized ground-state rotational population distribution and extract the black-body radiation (BBR) temperature.

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Cited by in corpus (2)

• High-fidelity quantum state control of a polar molecular ion in a cryogenic environment
• Charge Exchange Dynamics in Cold Collisions of ${}^{40}$CaH${}^{+}$ and ${}^{39}$K