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Dynamical Evolution of an Effective Two-Level System with $\mathcal{PT}$ Symmetry |
| Lei Du1, Zhihao Xu1,2,3, Chuanhao Yin4, Liping Guo1,2,3** |
1Institute of Theoretical Physics, Shanxi University, Taiyuan 030006
2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006
3State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006
4Institute of Physics, Chinese Academy of Sciences, Beijing 100190
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| Cite this article: |
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Lei Du, Zhihao Xu, Chuanhao Yin et al 2018 Chin. Phys. Lett. 35 050301 |
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Abstract We investigate the dynamics of parity- and time-reversal ($\mathcal{PT}$) symmetric two-energy-level atoms in the presence of two optical and one radio-frequency fields. The strength and relative phase of fields can drive the system from the unbroken to the broken $\mathcal{PT}$ symmetric regions. Compared with the Hermitian model, Rabi-type oscillation is still observed, and the oscillation characteristics are also adjusted by the strength and relative phase in the region of the unbroken $\mathcal{PT}$ symmetry. At the exception point, the oscillation breaks down. To better understand the underlying properties we study the effective Bloch dynamics and find that the emergence of the $z$ components of the fixed points is the feature of the $\mathcal{PT}$ symmetry breaking and the projections in the $x$–$y$ plane can be controlled with high flexibility compared with the standard two-level system with the $\mathcal{PT}$ symmetry. It helps to study the dynamic behavior of the complex $\mathcal{PT}$ symmetric model.
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Received: 27 December 2017
Published: 30 April 2018
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| PACS: |
03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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03.65.-w
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(Quantum mechanics)
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11104171, 11404199, 11574187 and 11604188, the Youth Science Foundation of Shanxi Province of China under Grant No 2012021003-1, and the Natural Science Foundation for Youths of Shanxi Province under Grant Nos 201601D201027 and 1331KSC. |
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