Rydberg Series Excitation of a Single Trapped 
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 Ion for Precision Measurements and Principal Quantum Number Scalings

Andrijauskas, Justas; Vogel, Jonas; Mokhberi, Arezoo; Schmidt‐Kaler, F.

doi:10.1103/physrevlett.127.203001

Cited by 2 publications

(4 citation statements)

References 33 publications

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“…The state polarizability P scales with the principal quantum number to the power of seven, and for a Rydberg state, can lead to a considerable modification of the trapping frequencies ω ′ i , e.g. in the order of a few percent as measured for 50 to 66 S-states of 40 Ca + [23]. The sign of this shift depends on the sign of P, and Rydberg dressed states with opposite polarizabilities can be used to cancel this shift [27].…”

Section: Phonon Distribution and Rydberg Transitionsmentioning

confidence: 99%

“…Excitation to Rydberg S 1/2 states with principal quantum numbers between 35 and 70 was implemented in a resonant two-photon process using 213 and 287 nm lasers [23]. These Rydberg states mainly decay into the electronic ground state within about 10 µs that has been computed as the Rydberg state lifetime [38].…”

Section: Rydberg Excitation Of Ions In Coherent Motional Statesmentioning

confidence: 99%

“…Phonon distributions for both radial motional modes, the residual Doppler broadening along the trap axis and the finite laser linewidth affect the lineshape. The natural line width, excitation laser widths and a residual Doppler broadening due to a momentum transfer were taken into account in profile, as described in [23]. Engineering distribution prior to Rydberg reduces free fit parameters to the centre frequency and the polarizability.…”

Section: Characterization Of Rydberg Spectra Including Motional Statesmentioning

confidence: 99%

“…Additionally, advances for preparation, readout and entanglement operations have enabled successful demonstration of fault-tolerant protocols for quantum error correction [20]. To date, experimental work with Rydberg trapped ions is implemented in Paul traps, in which a combination of a static and an oscillating electric field generates the trapping potential [21], and Rydberg states can be addressed using two ultra violet lasers via an intermediate state in a two-photon process [22,23].…”

Section: Introductionmentioning

confidence: 99%

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Rydberg ions in coherent motional states: a new method for determining the polarizability of Rydberg ions

Niederländer

Vogel²,

Schulze-Makuch³

et al. 2023

New J. Phys.

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We present a method for measuring the polarizability of Rydberg ions confined in the harmonic potential of a Paul trap. For a highly excited electronic state, the coupling between the electronic wave function and the trapping field modifies the excitation spectra depending on the motional state of the ion. This interaction strongly depends on the polarizability of the excited state and manifests itself in the state-dependent secular frequencies of the ion. We initialize a single trapped $^{40}$Ca$^+$ ion from the motional ground state into coherent states with $|\alpha|$ up to 12 using electric voltages on the trap segments. The internal state, firstly initialised in the long-lived 3D$_{5/2}$ state, is excited to a Rydberg S$_{1/2}$-state via the 5P$_{3/2}$ state in a two-photon process. We probe the depletion of the 3D$_{5/2}$ state owing to the Rydberg excitation followed by a decay into the internal ground 4S$_{1/2}$ state. By analysing the obtained spectra we extract the polarizability of Rydberg states which agree with numerical calculations. The method is applicable to different Rydberg states regardless of their principal or angular quantum numbers. An accurate value of the state polarizability is needed for quantum gate operations with Rydberg ion crystals.

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Section: Phonon Distribution and Rydberg Transitionsmentioning

confidence: 99%

Section: Rydberg Excitation Of Ions In Coherent Motional Statesmentioning

confidence: 99%

Section: Characterization Of Rydberg Spectra Including Motional Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Rydberg ions in coherent motional states: a new method for determining the polarizability of Rydberg ions

Niederländer

Vogel²,

Schulze-Makuch³

et al. 2023

New J. Phys.

Self Cite

View full text Add to dashboard Cite

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Tripartite quantum Rabi model with trapped Rydberg ions

Hamlyn,

Zhang,

Lesanovsky

et al. 2024

Phys. Rev. Research

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We investigate a tripartite quantum Rabi model (TQRM) wherein a bosonic mode concurrently couples to two spin-1/2 particles through a spin-spin interaction, resulting in a spin-spin-boson coupling—a departure from conventional quantum Rabi models featuring bipartite spin-boson couplings. The symmetries of the TQRM depend on the detuning parameter, representing the energy difference between the spin states. At zero detuning a parity symmetry renders the TQRM reducible to a quantum Rabi model. A subradiant-to-superradiant transition in the ground state is predicted as the tripartite coupling strength increases. For nonzero detuning the total spin emerges as the sole conserved quantity in the TQRM. It is found that superradiance prevails in the ground state as long as the tripartite coupling remains nonzero. We derive the Braak G function of the TQRM analytically, with which the eigenspectra are obtained. The TQRM can be realized in a viable trapped Rydberg ion quantum simulator, where the required tripartite couplings and single-body interactions in the TQRM are naturally present. Our study opens opportunities to explore and create correlations and entanglement in the spin and motional degrees of freedoms with the TQRM. Published by the American Physical Society 2024

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Rydberg Series Excitation of a Single Trapped Ca+40 Ion for Precision Measurements and Principal Quantum Number Scalings

Cited by 2 publications

References 33 publications

Rydberg ions in coherent motional states: a new method for determining the polarizability of Rydberg ions

Rydberg ions in coherent motional states: a new method for determining the polarizability of Rydberg ions

Tripartite quantum Rabi model with trapped Rydberg ions

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