https://doi.org/10.1140/epjd/e2013-40183-5
Regular Article
Exact solutions of the generalized two-photon and two-qubit Rabi models
1 Department of Physics, Nanjing University, Nanjing 210093, P.R. China
2 Joint Center of Nuclear Science and Technology, Nanjing University, Nanjing 210093, P.R. China
3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, P.R. China
4 Kavli Institute for Theoretical Physics China, Beijing 100190, P.R. China
5 Department of Physics, Xingtai University, Xingtai 054001, P.R. China
6 School of Science, Tianjin University of Science and Technology, Tianjin 300457, P.R. China
a
e-mail: pengjie145@gmail.com
b
e-mail: zren@nju.edu.cn
c
e-mail: jugx@nju.edu.cn
Received: 30 March 2013
Received in final form: 21 May 2013
Published online: 1 August 2013
The generalized two-photon Rabi model is proposed due to the recent interests on the ultrastrong-coupling regime of the circuit QED. The dipole interaction between the qubits in the two-qubit Rabi model with one qubit degenerate in energy is also taken into account, which can be applied to generate entanglement. Their exact solutions are obtained in the Bargmann space. Some isolated exact solutions for the generalized two-photon Rabi model are also obtained by a Bogoliubov transformation, and are compared with the full exact solutions. It is shown that both kinds of solutions coincide with each other.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2013
