Fundamental constraints on the observability of non-Hermitian effects in passive systems

Schomerus, Henning (2022) Fundamental constraints on the observability of non-Hermitian effects in passive systems. Physical review a, 106 (6): 063509. ISSN 2469-9926

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Abstract

Utilizing scattering theory, we quantify the consequences of physical constraints that limit the visibility of non-Hermitian effects in passive devices. The constraints arise from the fundamental requirement that the system obeys causality, and can be captured concisely in terms of an internal time-delay operator, which furthermore provides a direct quantitative measure of the visibility of specific non-Hermitian phenomena in the density of states. We illustrate the implications by contrasting two prominent non-Hermitian effects, exceptional points, and the non-Hermitian skin effect, whose underlying extreme mode nonorthogonality turns out to be undetectable in the density of states.