Thursday, May 30, 2013

1305.6782 (Honghua Zhong et al.)

Analytical eigenstates for the quantum Rabi model    [PDF]

Honghua Zhong, Qiongtao Xie, Chaohong Lee
We develop a method to find analytical solutions of the quantum Rabi model. The analytical solutions including symmetric, anti-symmetric and asymmetric ones are given in terms of the confluent Heun functions. In particular, both regular and exceptional solutions are given in a unified form. In addition, the analytical conditions for determining the energy spectrum are obtained. Our results show analytically that the Braak's conditions [Phys. Rev. Lett. \textbf{107}, 100401 (2011)] are a type of sufficient conditions for determining the regular solutions.
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