Rydberg excitation of trapped cold ions: A detailed case study

Abstract

We provide a detailed theoretical and conceptual study of a planned experiment to excite Rydberg states of ions trapped in a Paul trap. The ultimate goal is to exploit the strong state dependent interactions between Rydberg ions to implement quantum information processing protocols and to simulate the dynamics of strongly interacting spin systems. We highlight the promises of this approach when combining the high degree of control and readout of quantum states in trapped ion crystals with the novel and fast gate schemes based on interacting giant Rydberg atomic dipole moments. We discuss anticipated theoretical and experimental challenges on the way towards its realization.

submitted to special issue on "Quantum Simulation" in New Journal of Physics

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Cited by in corpus (29)

• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Long-range multi-body interactions and three-body anti-blockade in a trapped Rydberg ion chain
• Controlled long-range interactions between Rydberg atoms and ions
• Rydberg excitation of a single trapped ion
• Electronically excited cold ion crystals
• Quantum simulation of electron-phonon interactions in strongly deformable materials
• A single strontium Rydberg ion confined in a Paul trap
• Hexagonal Plaquette Spin-spin Interactions and Quantum Magnetism in a Two-dimensional Ion Crystal
• Entangling quantum gate in trapped ions via Rydberg blockade
• Exploring the many-body dynamics near a conical intersection with trapped Rydberg ions
• Triple resonant four-wavemixing boosts the yield of continuous coherent VUV generation
• A continuous wave 10 W cryogenic fiber amplifier at 1015 nm and frequency quadrupling to 254 nm
• Tuning between singlet, triplet, and mixed pairing states in an extended Hubbard chain
• Parallel execution of quantum gates in a long linear ion chain via Rydberg mode shaping
• Trapped Rydberg ions: a new platform for quantum information processing
• Exploring non-equilibrium phases of the generalized Dicke model with a trapped Rydberg ion quantum simulator
• Many-body radiative decay in strongly interacting Rydberg ensembles
• Rydberg spectrum of a single trapped Ca${}^{+}$ ion: A Floquet analysis
• Rydberg ion flywheel for quantum work storage
• High power, continuous-wave, single frequency fiber amplifier at 1091 nm and frequency doubling to 545.5 nm
• Mode shaping in mixed ion crystals of 40Ca2+ and 40Ca+
• Observation of effects due to an atom's electric quadrupole polarizability
• Determination of quantum defect for the Rydberg P series of Ca II
• Spectral Signatures of Vibronic Coupling in Trapped Cold Ionic Rydberg Systems
• A continuous-wave vacuum ultraviolet laser for the nuclear clock
• Light with orbital angular momentum interacting with trapped ions
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Tripartite quantum Rabi model with trapped Rydberg ions
• Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap