# Analytical eigenstates for the quantum Rabi model

@article{Zhong2013AnalyticalEF, title={Analytical eigenstates for the quantum Rabi model}, author={Honghua Zhong and Qiongtao Xie and Murray T Batchelor and Chaohong Lee}, journal={Journal of Physics A}, year={2013}, volume={46}, pages={415302} }

We develop a method to find analytical solutions for the eigenstates of the quantum Rabi model. These include symmetric, anti-symmetric and asymmetric analytic solutions given in terms of the confluent Heun functions. Both regular and exceptional solutions are given in a unified form. In addition, the analytic conditions for determining the energy spectrum are obtained. Our results show that conditions proposed by Braak (2011 Phys. Rev. Lett. 107 100401) are a type of sufficiency condition for… CONTINUE READING

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