Year: 2026
Type: preprint
Abstract: We show that an $N$-site quantum Rabi ring with matched giant-atom couplings has $2^N$ degenerate superradiant configurations as the atomic-to-cavity frequency ratio $η=Δ/ω$ tends to infinity. Each atom couples to two cavities two sites apart, and the photon hopping carries a phase $π/2$. Tuning the ratio of contact strengths to the photon hopping reduces the mean-field energy to a sum of single-site Rabi energies, with a common critical coupling for all momentum-pair sectors. The degeneracy survives quadratic quantum fluctuations despite a dispersive excitation spectrum. At finite $η$, second-order processes involving the local cubic anharmonicity generate a same-sublattice Ising coupling of order $ω/η$, selecting ferro- and antiferro-superradiant configurations. This quantum order-by-disorder effect has no classical counterpart. Four-site calculations retaining all spin states quantitatively support the predicted energy coefficients. The separation between the induced coupling and the excitation gap allows a broad temperature interval with macroscopic photon occupation and short-range correlations between displacement signs.
Source: arXiv (Cornell University)
Authors: He, Shu, Duan, Li-Wei
Institutions: Sichuan Normal University, Zhejiang Normal University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220978882