Determination of Quantum Defects and Core Polarizability of Atomic Cesium via Terahertz and Radio-Frequency Spectroscopy in Thermal Vapor

Abstract

We present new measurements of quantum defects and core polarizabilities in cesium (${}^{133}$Cs), based on transition frequency measurements between Rydberg states ($14\le n\le 38$) obtained through terahertz (THz) and radio-frequency spectroscopy in a thermal atomic vapor. %By detuning resonant fields coupling neighbouring Rydberg states, we observe a detuning-dependent asymmetry in the line shape which can be used to extract the frequency of the transition. We perform a global fitting of our measurements to extract quantum defects of the $s_{1/2}$, $p_{1/2}$, $p_{3/2}$, $d_{3/2}$, $d_{5/2}$, $f_{5/2}$, $f_{7/2}$, $g_{7/2}$ and $g_{9/2}$ electronic states. Transitions between high angular momentum states ($4\le \ell \le 8$) were measured to extract the Cs${}^{+}$ dipole and quadrupole polarizabilities. We find ${\alpha }_d=15.729(18)$ $a_0^3$ and ${\alpha }_q=76.3(1.9)$ $a_0^5$ respectively. Using these results, and accounting for the covariances between parameters in the global fit, the energies for $n{\ell }_j$ Rydberg states can be estimated to a precision of a few MHz or less.

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Cited by in corpus (1)

• Precision measurement of Cs($n{F}_J$) quantum defects and calculations of scalar and tensor polarizabilities of the $n{S}_{1/2}$, $n{P}_J$ ,$n{D}_J$ , and $n{F}_J$ series