Rydberg spectrum of a single trapped Ca$^+$ ion: A Floquet analysis
- URL: http://arxiv.org/abs/2005.13659v1
- Date: Wed, 27 May 2020 21:17:30 GMT
- Title: Rydberg spectrum of a single trapped Ca$^+$ ion: A Floquet analysis
- Authors: Mariusz Pawlak and H. R. Sadeghpour
- Abstract summary: We compute the Rydberg spectrum of a single Ca$+$ ion in a Paul trap by incorporating various internal and external coupling terms of the ion to the trap in the Hamiltonian.
The electronic Rydberg states are precisely described by a one-electron model potential for e$-$+Ca$2+$.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We compute the Rydberg spectrum of a single Ca$^+$ ion in a Paul trap by
incorporating various internal and external coupling terms of the ion to the
trap in the Hamiltonian. The coupling terms include spin-orbit coupling in
Ca$^+$, charge (electron and ionic core) coupling to the radio frequency and
static fields, ion-electron coupling in the Paul trap, and ion center-of-mass
coupling. The electronic Rydberg states are precisely described by a
one-electron model potential for e$^-$+Ca$^{2+}$, and accurate eigenenergies,
quantum defect parameters, and static and tensor polarizabilities for a number
of excited Rydberg states are obtained. The time-periodic rf Hamiltonian is
expanded in the Floquet basis, and the trapping-field-broadened Rydberg lines
are compared with recent observations of Ca$^+(23P)$ and Ca$^+(52F)$ Rydberg
lines.
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