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

Abstract

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 probability 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 easy-to-implement and 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.

arXiv comment16 pages, 8 figures

References in corpus (27)

• Many-Body Physics with Ultracold Gases
• Quantum information with Rydberg atoms
• Probing many-body dynamics on a 51-atom quantum simulator
• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Fast quantum gates for neutral atoms
• A Rydberg Quantum Simulator
• Entanglement of two individual neutral atoms using Rydberg blockade
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Millimeter Wave Detection via Autler-Townes Splitting in Rubidium Rydberg Atoms
• Strongly correlated growth of Rydberg aggregates in a vapor cell
• Optical measurements of strong microwave fields with Rydberg atoms in a vapor cell
• Precision calculation of blackbody radiation shifts for optical frequency metrology
• Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
• Sub-microsecond entangling gate between trapped ions via Rydberg interaction
• Fast quantum control and light-matter interactions at the 10,000 quanta level
• Rydberg excitation of a single trapped ion
• Electronically excited cold ion crystals
• A single strontium Rydberg ion confined in a Paul trap
• Entangling quantum gate in trapped ions via Rydberg blockade
• The Robustness of a Collectively Encoded Rydberg Qubit
• Experimental creation and analysis of displaced number states
• Trapped Rydberg ions: a new platform for quantum information processing
• Shuttling of Rydberg ions for fast entangling operations
• Efficient and robust photo-ionization loading of beryllium ions
• Observation of effects due to an atom's electric quadrupole polarizability
• Precision measurement of the ionization energy of a single trapped ${}^{40}$Ca${}^{+}$ ion by Rydberg series excitation
• Magic trapping of a Rydberg ion with a diminished static polarizability

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