2014/05/31 by Liwei Duan, Shu He, Qing-Hu Chen · 2 citations
Computer Science · Physics and Astronomy · #Coherent states #Coupling (piping) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and Classical Electrodynamics #Quantum computer #Quantum error correction #Qubit #Rabi cycle #Rabi frequency #quant-ph
paper · pdf · doi:10.1016/j.aop.2015.02.003
published as Annals of Physics 355, 121(2015) · 13 pages, 3 figures
openalex publication_date 2015/02/12 · arxiv created 2015/03/14 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using extended coherent states, an analytical exact study has been carried out for the quantum Rabi model (QRM) with two arbitrary qubits in a very concise way. The G-functions with 2 × 2 determinants are generally derived. For the same coupling constants, the simplest G-function, resembling that in the one-qubit QRM, can be obtained. Zeros of the G-function yield the whole regular spectrum. The exceptional eigenvalues, which do not belong to the zeros of the G function, are obtained in the closed form. The Dark states in the case of the same coupling can be detected clearly in a continued-fraction technique. The present concise solution is conceptually clear and practically feasible to the general two-qubit QRM and therefore has many applications.