Exact solvability of the quantum Rabi model using Bogoliubov operators

By Qing-Hu Chen, Chen Wang, Shu He, Tao Liu, Ke-lin Wang. 2012

181 citations recorded by the source corpus.

The quantum Rabi model can be solved exactly by the Bargmann transformation from real coordinate to complex variable recently [Phys. Rev. Lett. \textbf{107}, 100401 (2011)]. By the extended coherent states, we recover this solution in an alternative simpler and perhaps more physical way without uses of any extra conditions, like Bargmann conditions. In the same framework, the two-photon Rabi model are solved exactly by extended squeeze states. Transcendental functions have been derived with the similar form as those in one-photon model. Both extended coherent states and squeeze states are essentially Fock states in the space of the corresponding Bogoliubov operators. The present approach could be easily extended to study the exact solvability or integrability of various spin-boson systems with multi-level, even multi-mode.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/84165c0755e3f6d232f127706ce8f9a3cbdafaa2

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Semi-classical and quantum Rabi models: in celebration of 80 years (2016, methodology): “There are three basic reasons: (i) experiments have now been able to push into the ultrastrong (|ω| < 10g) [4, 5] and deep strong (|ω| < g) [6] coupling regimes in which the rotating-wave approximation and thus the Jaynes-Cummings model are not applicable; (ii) there are exciting prospects for novel”