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| The adiabatic approximation has applied to the study of Jaynes-Cummings model with ultra-
strong coupling, introduced by Irish and Agarwal,et al.(Phys. Rev. B. 72, 195410 (2005) and
Phys. Rev. A.85, 043815 (2012)), we extend Agarwal's work to include the interaction between the
two qubits. We get the eigenvalues and eigenfunctions of Rabi Hamiltonian. We discuss the time
dependence of two qubits considering the interaction between them. Qualitative di?erence between
the Agarwal's work and ours are most interesting, and may ˉnd applications in entangled state:
under ultra-strong coupling and large defuning condition, the two qubits coupled to a quantum
oscillator will show the tendency of preserving their entanglement by the increase of interaction
strength between two qubits. |
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| Keywords:quantum optics, Jaynes-Cummings model, ultra-strong coupling, adiabatic approximation |
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