Real non-Hermitian energy spectra without any symmetry

doi:10.1088/1674-1056/ac67c6

Abstract Non-Hermitian models with real eigenenergies are highly desirable for their stability. Yet, most of the currently known ones are constrained by symmetries such as PT-symmetry, which is incompatible with realizing some of the most exotic non-Hermitian phenomena. In this work, we investigate how the non-Hermitian skin effect provides an alternative route towards enforcing real spectra and system stability. We showcase, for different classes of energy dispersions, various ansatz models that possess large parameter space regions with real spectra, despite not having any obvious symmetry. These minimal local models can be quickly implemented in non-reciprocal experimental setups such as electrical circuits with operational amplifiers.

Keywords: non-Hermitian physics real energy spectra non-Hermitian skin effect

Received: 04 March 2022
Revised: 05 April 2022
Accepted manuscript online: 18 April 2022

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.65.Vf	(Phases: geometric; dynamic or topological)
	03.65.-w	(Quantum mechanics)

Fund: X.Z. is supported by the National Natural Science Foundation of China (Grant No. 11874431), the National Key R&D Program of China (Grant No. 2018YFA0306800), and the Guangdong Science and Technology Innovation Youth Talent Program (Grant No. 2016TQ03X688).

Corresponding Authors: Ching Hua Lee
E-mail: phylch@nus.edu.sg

Cite this article:

Boxue Zhang(张博学), Qingya Li(李青铔), Xiao Zhang(张笑), and Ching Hua Lee(李庆华) Real non-Hermitian energy spectra without any symmetry 2022 Chin. Phys. B 31 070308

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Real non-Hermitian energy spectra without any symmetry

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