Infrared dynamic polarizability of HD+ rovibrational states

Abstract

A calculation of dynamic polarizabilities of rovibrational states with vibrational quantum number $v=0-7$ and rotational quantum number $J=0,1$ in the 1s${\sigma }_g$ ground-state potential of HD${}^{+}$ is presented. Polarizability contributions by transitions involving other 1s${\sigma }_g$ rovibrational states are explicitly calculated, whereas contributions by electronic transitions are treated quasi-statically and partially derived from existing data [R.E. Moss and L. Valenzano, \textit{Molec. Phys.}, 2002, \textbf{100}, 1527]. Our model is valid for wavelengths $>4\mu$m and is used to to assess level shifts due to the blackbody radiation (BBR) electric field encountered in experimental high-resolution laser spectroscopy of trapped HD${}^{+}$ ions. Polarizabilities of 1s${\sigma }_g$ rovibrational states obtained here agree with available existing accurate \textit{ab initio} results. It is shown that the Stark effect due to BBR is dynamic and cannot be treated quasi-statically, as is often done in the case of atomic ions. Furthermore it is pointed out that the dynamic Stark shifts have tensorial character and depend strongly on the polarization state of the electric field. Numerical results of BBR-induced Stark shifts are presented, showing that Lamb-Dicke spectroscopy of narrow vibrational optical lines ($\sim 10$ Hz natural linewidth) in HD${}^{+}$ will become affected by BBR shifts only at the $10^{-16}$ level.

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Cited by in corpus (11)

• Probing QED and fundamental constants through laser spectroscopy of vibrational transitions in HD+
• Bounds on fifth forces from precision measurements on molecules
• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• The static and dynamic polarisability, and the Stark and black-body radiation frequency shifts of the molecular hydrogen ions H2+, HD+, and D2+
• The electric quadrupole moment of molecular hydrogen ions and their potential for a molecular ion clock
• Two-photon spectroscopy of trapped HD${}^{+}$ ions in the Lamb-Dicke regime
• High-precision spectroscopy of the HD+ molecule at the 1-p.p.b. level
• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• Precision spectroscopy of the hydrogen molecular ions HD${}^{+}$
• Physics beyond the Standard Model from hydrogen spectroscopy
• Ghost features in Doppler-broadened spectra of rovibrational transitions in trapped HD${}^{+}$ ions