Hybrid exceptional point and its dynamical encircling in a two-state system

Hybrid exceptional point and its dynamical encircling in a two-state system
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两国体系中的混合特异点及其动力包围

DOI:
10.1103/physreva.98.033810
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发表时间:
2017-01
期刊:
影响因子:
2.9
通讯作者:
Chan C. T.
Chan C. T.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zhang Xu Lin;Chan C. T.

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例外点是非厄米特系统中的简并点。一个具有宇称时间对称性的两态系统通常只有一个例外点,超过这个点,本征模就会发生宇称时间对称性破缺。所谓的对称恢复,即,本征模再次变为PT对称,通常发生在多状态系统中。在这里,我们表明,一个两个国家的铁磁波导系统可以有一个例外点和随后的对称性恢复,由于意外简并点的存在下,系统是无损的。通过引入两个例外点所在的参数空间,我们设计了一个系统,其中参数空间中的轨迹可以使用可调谐的外场原位控制,使我们能够通过包围零,一个或两个例外点来探索系统的拓扑和手征特征。我们进行了微波实验,以证明例外点的存在,对称性恢复,以及从他们的动力学包围所产生的影响。
Exceptional points are degeneracies in non-Hermitian systems. A two-state system with parity-time (PT) symmetry usually has only one exceptional point beyond which the eigenmodes are PT-symmetry broken. The so-called symmetry recovery, i.e., eigenmodes become PT-symmetric again, typically occurs in multi-state systems. Here we show that a two-state ferromagnetic waveguide system can have an exceptional point and a subsequent symmetry recovery due to the presence of accidental degeneracy points when the system is lossless. By introducing a parameter space where both exceptional points reside, we designed a system in which the trajectory in the parameter space can be controlled in situ using an adiabatically tunable external field, allowing us to explore the topological and chiral character of the system by encircling zero, one or two exceptional points. We performed microwave experiments to demonstrate the presence of the exceptional point, symmetry recovery, and the effects arising from their dynamical encircling.
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