| Dynamics of 2×2 matrix non-Hermitian quantum systems on Bloch sphere |
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| 作者姓名： | Libin Fu |
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| 作者单位： | Graduate School of China Academy of Engineering Physics |
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| 基金项目： | supported by the National Natural Science Foundation of China Grant No 12088101, and U2330401 |
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| 摘 要： | By casting evolution to the Bloch sphere, the dynamics of 2 × 2 matrix non-Hermitian systems are investigated in detail. This investigation reveals that there are four kinds of dynamical modes for such systems. The different modes are classified by different kinds of fixed points, namely,the elliptic point, spiral point, critical node, and degenerate point. The Hermitian systems and the unbroken PT non-Hermitian cases belong to the category with elliptic points. The degenerate point just corresponds to the systems with exceptional point(EP). The topological properties of the fixed point are also discussed. It is interesting that the topological charge for the degenerate point is two, while the others are one.
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