International Journal of Theoretical Physics

, Volume 57, Issue 5, pp 1304–1309 | Cite as

Photonic Scattering on a Trimer with PT-Symmetry

  • Y. Y. Xu
  • H. B. Zhu
  • Z. H. Wang


We analyze photonic scattering on a trimer with PT symmetry, where the photon propagates in an array of cavities. In the system, a passive and an active cavity couple to another cavity without loss and gain simultaneously, which is in the middle of the cavity array. Such three cavities can be regarded as the scattering target coupling to the unlimited number of cavities from two directions respectively. Our approach is to use the Schrödinger equation to calculate the reflection coefficient and transmission coefficient, and then let photonic transmission spreads from gain or loss cavity. It shows that the scattering of the photon is closely associated with the PT symmetric characteristic of the dynamics of the system. The atom’s modulation on the photonic transmission is also investigated. We found that the scattering center can behave as a photonic switch, which could be used potentially to control the photonic transmission.


Photonic scattering Trimer PT symmetry Loss Gain 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Center for Quantum Sciences and School of PhysicsNortheast Normal UniversityChangchunChina
  2. 2.Key Laboratory for UV Light-Emitting Materials and Technology of Ministry of EducationNortheast Normal UniversityChangchunChina

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