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arXiv · 1304.7827

On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models

Yao-Zhong Zhang
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Abstract

By applying the Bogoliubov transformations and through the introduction of the Bargmann-Hilbert spaces, we obtain analytic representations of solutions to the driven Rabi model without ${\cal Z}_2$ symmetry, and the 2-photon and two-mode quantum Rabi models. In each case, transcendental function is analytically derived whose zeros give the energy spectrum of the model. The zeros can be numerically found by standard root-search techniques.

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Yao-Zhong Zhang. 2013-04-30. On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models. https://arxiv.org/abs/1304.7827

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