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Ground state of the asymmetric Rabi model in the ultrastrong coupling regime

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Abstract

We study the ground states of the single- and two-qubit asymmetric Rabi models, in which the qubit–oscillator coupling strengths for the counterrotating-wave and corotating-wave interactions are unequal. We take the transformation method to obtain the approximately analytical ground states for both models and numerically verify its validity for a wide range of parameters under the near-resonance condition. We find that the ground-state energy in either the single- or two-qubit asymmetric Rabi model has an approximately quadratic dependence on the coupling strengths stemming from different contributions of the counterrotating-wave and corotating-wave interactions. For both models, we show that the ground-state energy is mainly contributed by the counterrotating-wave interaction. Interestingly, for the two-qubit asymmetric Rabi model, we find that, with the increase in the coupling strength in the counterrotating-wave or corotating-wave interaction, the two-qubit entanglement first reaches its maximum and then drops to zero. Furthermore, the maximum of the two-qubit entanglement in the two-qubit asymmetric Rabi model can be much larger than that in the two-qubit symmetric Rabi model.

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Acknowledgments

This work is supported by the Major State Basic Research Development Program of China under Grant No. 2012CB921601, the National Natural Science Foundation of China under Grant No. 11374054, No. 11305037, No. 11347114, and No. 11247283, the Natural Science Foundation of Fujian Province under Grant No. 2013J01012, and the funds from Fuzhou University under Grant No. 022513, Grant No. 022408, and Grant No. 600891.

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  1. Lab of Quantum Optics, Department of Physics, Fuzhou University, Fuzhou, 350002, China

    Li-Tuo Shen, Zhen-Biao Yang, Mei Lu, Rong-Xin Chen & Huai-Zhi Wu

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  1. Li-Tuo Shen
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  2. Zhen-Biao Yang
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Shen, LT., Yang, ZB., Lu, M. et al. Ground state of the asymmetric Rabi model in the ultrastrong coupling regime. Appl. Phys. B 117, 195–202 (2014). https://doi.org/10.1007/s00340-014-5821-2

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