Optical resonance in inhomogeneous parity-time symmetric systems

Linshan Sun; Bo Zhao; Jiaqi Yuan; Yanrong Zhang; Ming Kang; Jing Chen

doi:10.3788/COL202119.073601

Journals >Chinese Optics Letters >Volume 19 >Issue 7 >Page 073601 > Article

Chinese Optics Letters
Vol. 19, Issue 7, 073601 (2021)

Optical resonance in inhomogeneous parity-time symmetric systems

Linshan Sun¹, Bo Zhao¹, Jiaqi Yuan¹, Yanrong Zhang¹, Ming Kang², and Jing Chen^1、3、*

Author Affiliations

¹MOE Key Laboratory of Weak-Light Nonlinear Photonics, School of Physics, Nankai University, Tianjin 300071, China

²College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, China

³Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

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DOI: 10.3788/COL202119.073601 Cite this Article Set citation alerts

Linshan Sun, Bo Zhao, Jiaqi Yuan, Yanrong Zhang, Ming Kang, Jing Chen. Optical resonance in inhomogeneous parity-time symmetric systems[J]. Chinese Optics Letters, 2021, 19(7): 073601 Copy Citation Text

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Abstract

We show that inhomogeneous waveguides of slowly varied parity-time (PT) symmetry support localized optical resonances. The resonance is closely related to the formation of exceptional points separating exact and broken PT phases. Salient features of this kind of non-Hermitian resonance, including the formation of half-vortex flux and the discrete nature, are discussed. This investigation highlights the unprecedented uniqueness of field dynamics in non-Hermitian systems with many potential adaptive applications.

Keywords

exceptional points parity-time symmetry quantum optics resonance

[\begin{matrix} β + i g & κ \\ κ & β - i g \end{matrix}] [\begin{matrix} Ψ_{1} \\ Ψ_{2} \end{matrix}] = k_{PT} [\begin{matrix} Ψ_{1} \\ Ψ_{2} \end{matrix}]

(1)

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ℜ_{+} ℜ_{-} - \frac{(β + i α_{+})}{(β - i α_{+})} \frac{(β + i α_{-})}{(β - i α_{-})} e^{- 4 β_{m} a} = 0,

(2)

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ℜ_{\pm} = \frac{{(β + i α_{\pm})}^{2} \exp (i 2 α_{\pm} b) - {(β - i α_{\pm})}^{2}}{{(β - i α_{\pm})}^{2} (e^{i 2 α_{\pm} b} - 1)} .

(3)

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Linshan Sun, Bo Zhao, Jiaqi Yuan, Yanrong Zhang, Ming Kang, Jing Chen. Optical resonance in inhomogeneous parity-time symmetric systems[J]. Chinese Optics Letters, 2021, 19(7): 073601

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