We compute the Rydberg spectrum of a single ${\mathrm{Ca}}^{+}$ 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 ${\mathrm{Ca}}^{+}$ , 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 ${e}^{\ensuremath{-}}+{\mathrm{Ca}}^{2+}$, 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 ${\mathrm{Ca}}^{+}(23P)$ and ${\mathrm{Ca}}^{+}(52F)$ Rydberg lines.We compute the Rydberg spectrum of a single ${\mathrm{Ca}}^{+}$ 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 ${\mathrm{Ca}}^{+}$, 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 ${e}^{\ensuremath{-}}+{\mathrm{Ca}}^{2+}$, 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 ${\mathrm{Ca}}^{+}(23P)$ and ${\mathrm{Ca}}^{+}(52F)$ Rydberg lines.

arXiv:2005.13659Physical Review AMay 18, 202011 citations

Demonstration experiments for the electronic detection of trapped ions in a linear Paul trap

Yuren Wang, Li-Bang Wang

We demonstrate a simple electronic detection method for trapped ions in a linear Paul trap. Singly charged calcium ions are confined in a linear Paul trap and are driven by an ac electric field at their secular frequency. The collective motion of the ions causes induced current on the trap electrodes, and the current signal is detected by a tuned circuit. This paper describes the design of the tuned circuit and the performance of this detection method. This method can be applied to various species of ions in different trap geometries. It serves as a simple tool to probe the existing ions in the trap, while in some cases, optical detection is not feasible. This method is particularly suitable for demonstration in teaching laboratories where the ion trap systems and detection circuits can be constructed by undergraduate students.We demonstrate a simple electronic detection method for trapped ions in a linear Paul trap. Singly charged calcium ions are confined in a linear Paul trap and are driven by an ac electric field at their secular frequency. The collective motion of the ions causes induced current on the trap electrodes, and the current signal is detected by a tuned circuit. This paper describes the design of the tuned circuit and the performance of this detection method. This method can be applied to various species of ions in different trap geometries. It serves as a simple tool to probe the existing ions in the trap, while in some cases, optical detection is not feasible. This method is particularly suitable for demonstration in teaching laboratories where the ion trap systems and detection circuits can be constructed by undergraduate students.

European Journal of PhysicsApr 8, 20134 citations

Towards a wire-mediated coupling of trapped ions

S Selvarajan, Sönke Möller, Nikos Daniilidis +1 more

Bulletin of the American Physical SocietyMar 10, 20080 citations

Observation of Pr+Ions in Paul Trap

Jerzy Dembczyński, Danuta Stefańska, Gustaw Szawioła +11 more

The first observation of Pr+ ions stored in a Paul trap is reported.Initially the ions were observed by the electronic detection method, and further the laser induced fluorescence, following resonance absorption at a certain optical transition in Pr+ ion, which is excited from the ground state, was recorded.Moreover, fluorescence signal following the excitation from a low-lying metastable state could be detected.The Paul trap system and some other parts of tle experimental setup were constructed within the frame of this work and thus are briefly described in the present contribution.PACS numbers: 32.80.Pj of the equipment of the laser-spectroscopic laboratory to our group, and for having partially involved one of the authors (D.S.) in the experiments in the Paul trap, particularly with HΣ+ ions.Many valuable hints concerning the practical aspects of the experiments in the Paul trap are also deeply appreciated.The first observation of Pr+ ions stored in a Paul trap is reported.Initially the ions were observed by the electronic detection method, and further the laser induced fluorescence, following resonance absorption at a certain optical transition in Pr+ ion, which is excited from the ground state, was recorded.Moreover, fluorescence signal following the excitation from a low-lying metastable state could be detected.The Paul trap system and some other parts of tle experimental setup were constructed within the frame of this work and thus are briefly described in the present contribution.PACS numbers: 32.80.Pj of the equipment of the laser-spectroscopic laboratory to our group, and for having partially involved one of the authors (D.S.) in the experiments in the Paul trap, particularly with HΣ+ ions.Many valuable hints concerning the practical aspects of the experiments in the Paul trap are also deeply appreciated.

Acta Physica Polonica ASep 1, 19974 citations

We compute the Rydberg spectrum of a single

{\mathrm{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

{\mathrm{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 ${e}^{\ensuremath{-}}+{\mathrm{Ca}}^{2+}$, 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

{\mathrm{Ca}}^{+}(23P)

and

{\mathrm{Ca}}^{+}(52F)

Rydberg lines.