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arXiv · 1203.2410

Jaynes-Cummings model: What emerges first beyond the rotating-wave approximation?

Shu He·Qing-Hu Chen·Xue-Zao Ren·Tao Liu·Ke-Lin Wang
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Abstract

The Jaynes-Cummings model without the rotating-wave approximation can be solved exactly by extended Swain's ansatz with the conserved parity. The analytical approximations are then performed at different levels. The well-known rotating-wave approximation is naturally covered in the present zero and first approximations. The effect of the counter rotating-wave term emerges clearly in the second order approximation. The concise analytical expressions are given explicitly and can be applicable up to the ultra-strong coupling regime. The preliminary application to the vacuum Rabi splitting is shown to be very successful.

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Shu He, Qing-Hu Chen, Xue-Zao Ren, Tao Liu, Ke-Lin Wang. 2012-03-12. Jaynes-Cummings model: What emerges first beyond the rotating-wave approximation?. https://arxiv.org/abs/1203.2410

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