Tripartite quantum Rabi model with trapped Rydberg ions

Hamlyn, Thomas J.; Zhang, Chi; Lesanovsky, Igor; Li, Weibin

Abstract

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.

Citation

Hamlyn, T. J., Zhang, C., Lesanovsky, I., & Li, W. (2024). Tripartite quantum Rabi model with trapped Rydberg ions. Physical Review Research, 6(2), Article 023223. https://doi.org/10.1103/PhysRevResearch.6.023223

• Journal Article Type: Article
• Acceptance Date: Apr 19, 2024
• Online Publication Date: May 31, 2024
• Publication Date: May 31, 2024
• Deposit Date: Apr 19, 2024
• Publicly Available Date: Apr 19, 2024
• Journal: Physical Review Research
• Electronic ISSN: 2643-1564
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 6
• Issue: 2
• Article Number: 023223
• DOI: https://doi.org/10.1103/PhysRevResearch.6.023223
• Keywords: Light-matter interaction; Spin-phonon coupling; Rydberg atoms & molecules; Trapped ions
• Public URL: https://nottingham-repository.worktribe.com/output/33838767
• Publisher URL: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.023223