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Article

A Versatile Electronic Dimer Exhibiting PT and Anti-PT Symmetry

School of Intelligent Manufacturing, Jiangsu College of Engineering and Technology, Nantong 226001, China
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Author to whom correspondence should be addressed.
Symmetry 2025, 17(2), 205; https://doi.org/10.3390/sym17020205
Submission received: 9 January 2025 / Revised: 24 January 2025 / Accepted: 26 January 2025 / Published: 28 January 2025
(This article belongs to the Section Physics)

Abstract

We propose a versatile electronic dimer cooperatively coupled by means of mutual induction, capacitance, and resistance. In a lot of related works, the electronic dimer is inductively coupled, with one resonator characterized by positive resistance (dissipation) and the other by negative resistance (amplification). We go beyond this picture by considering capacitive and resistive coupling, and by exploring cases where both resistances are positive, as well as a case where the resonant frequencies of the individual resonators are different. Based on analytical derivation and numerical calculations, we obtain and observe the properties of parity-time (PT), quasi-PT (QPT) and quasi-anti-PT (QAPT) symmetry by adjusting the constitutive parameters of the system. This study provides a versatile and feasible platform for observing PT/anti-PT (APT) symmetry-based phenomena and provides a foundation for further studies on finding PT/APT symmetry in more sophisticated circuits.
Keywords: electronic dimer; PT symmetry; APT symmetry; quasi-APT symmetry electronic dimer; PT symmetry; APT symmetry; quasi-APT symmetry

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MDPI and ACS Style

Li, R.; Gu, J. A Versatile Electronic Dimer Exhibiting PT and Anti-PT Symmetry. Symmetry 2025, 17, 205. https://doi.org/10.3390/sym17020205

AMA Style

Li R, Gu J. A Versatile Electronic Dimer Exhibiting PT and Anti-PT Symmetry. Symmetry. 2025; 17(2):205. https://doi.org/10.3390/sym17020205

Chicago/Turabian Style

Li, Ruiqi, and Jiayang Gu. 2025. "A Versatile Electronic Dimer Exhibiting PT and Anti-PT Symmetry" Symmetry 17, no. 2: 205. https://doi.org/10.3390/sym17020205

APA Style

Li, R., & Gu, J. (2025). A Versatile Electronic Dimer Exhibiting PT and Anti-PT Symmetry. Symmetry, 17(2), 205. https://doi.org/10.3390/sym17020205

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