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• W2993744146 abstract "The analytical exact solutions to the mixed quantum Rabi model (QRM) including both one- and two-photon terms are found by using Bogoliubov operators. Transcendental functions in terms of $4 times 4$ determinants responsible for the exact solutions are derived. These so-called $G$-functions with pole structures can be reduced to the previous ones in the unmixed QRMs. The zeros of $G$-functions reproduce completely the regular spectra. The exceptional eigenvalues can also be obtained by another transcendental function. From the pole structure, we can derive two energy limits when the two-photon coupling strength tends to the collapse point. All energy levels only collapse to the lower one, which diverges negatively. The level crossings in the unmixed QRMs are relaxed to avoided crossings in the present mixed QRM due to absence of parity symmetry. In the weak two-photon coupling regime, the mixed QRM is equivalent to an one-photon QRM with an effective positive bias, suppressed photon frequency and enhanced one-photon coupling, which may pave a highly efficient and economic way to access the deep-strong one-photon coupling regime." @default.
• W2993744146 created "2019-12-13" @default.
• W2993744146 creator A5017858238 @default.
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• W2993744146 date "2019-12-04" @default.
• W2993744146 modified "2023-09-25" @default.
• W2993744146 title "The mixed quantum Rabi model" @default.
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• W2993744146 doi "https://doi.org/10.1038/s41598-019-54756-0" @default.
• W2993744146 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6892885" @default.
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• W2993744146 hasPublicationYear "2019" @default.
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