N-photon solutions to the two-qubit quantum Rabi model

• URL: http://arxiv.org/abs/2406.02418v1
• Date: Tue, 4 Jun 2024 15:32:45 GMT
• Title: N-photon solutions to the two-qubit quantum Rabi model
• Authors: Qiang Lin, Junlong Tian, Pinghua Tang, Jie Peng,
• Abstract summary: We studied the two-qubit quantum Rabi model and found its dark state solutions with at most N photons. Although generally all photon number states are involved in the two-qubit quantum Rabi model, such $N$-photon solutions exist and may have applications in quantum information processing with ultrastrong couplings.
• Score: 7.459366623249953
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We studied the two-qubit quantum Rabi model and found its dark state solutions with at most N photons. One peculiar case presents when $N=3$, which has constant eigenenergy in the whole coupling regime and leads to level crossings within the same parity subspace. We also discovered asymptotic solutions with at most $N=2i+3$ $(i=1,2,3,\dots)$ photons, and constant eigenenergy $N\hbar \omega$ when coupling $g$ becomes much larger than photon frequency $\omega$. Although generally all photon number states are involved in the two-qubit quantum Rabi model, such $N$-photon solutions exist and may have applications in quantum information processing with ultrastrong couplings.

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