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 groundstate is predicted as the tripartite coupling strength increases. For non-zero detuning the total spin emerges as the sole conserved quantity in the TQRM. It is found that superradiance prevails in the groundstate as long as the tripartite coupling remains non-zero. 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 novel correlations and entanglement in the spin and motional degrees of freedoms with the TQRM.

• 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
• Public URL: https://nottingham-repository.worktribe.com/output/33838767
• Publisher URL: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.023223