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

2024/06/04 by Lin, Qiang, Tian, Junlong, Tang, Pinghua +1
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2406.02418

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,…) photons, and constant eigenenergy Nℏ ω when coupling g becomes much larger than photon frequency ω. 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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