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\(\mathcal{P}\mathcal{T}\)-symmetry-breaking induced suppression of tunneling in a driven non-Hermitian two-level system

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Abstract

We investigate the effect of parity-time (\(\mathcal{P}\mathcal{T}\)) symmetry on quantum tunneling dynamics for a periodically driven \(\mathcal{P}\mathcal{T}\)-symmetric non-Hermitian two-level system. We find that the quantum tunneling between two levels can be suppressed in a wide range of parameters in comparison with the Hermitian case, which is caused by the \(\mathcal{P}\mathcal{T}\)-symmetry-breaking. By employing the high-frequency Floquet approach, the parametric dependence of the spontaneous \(\mathcal{P}\mathcal{T}\)-symmetry-breaking transition is analytically and numerically explored. It is revealed that we can manipulate the \(\mathcal{P}\mathcal{T}\) symmetry by tuning the driving amplitude and frequency. Our results provide a promising approach for manipulating the \(\mathcal{P}\mathcal{T}\) symmetry by applying a periodic driving field.

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Authors and Affiliations

  1. Department of Physics, Jishou University, Jishou, 416000, P.R. China

    Xiao Lian, Honghua Zhong, Xiaoqing Zhou, Yunwen Wu & Wenhu Liao

  2. State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou, 510275, P.R. China

    Honghua Zhong

  3. School of Physics and Electronic Engineering, Hainan Normal University, Haikou, 571158, P.R. China

    Qiongtao Xie

Authors
  1. Xiao Lian
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  2. Honghua Zhong
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  3. Qiongtao Xie
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  4. Xiaoqing Zhou
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  5. Yunwen Wu
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  6. Wenhu Liao
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Correspondence to Honghua Zhong.

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Lian, X., Zhong, H., Xie, Q. et al. \(\mathcal{P}\mathcal{T}\)-symmetry-breaking induced suppression of tunneling in a driven non-Hermitian two-level system. Eur. Phys. J. D 68, 189 (2014). https://doi.org/10.1140/epjd/e2014-50188-1

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  • DOI: https://doi.org/10.1140/epjd/e2014-50188-1

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