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

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Fundamental constraints on the observability of non-Hermitian effects in passive systems. / Schomerus, Henning.
In: Physical review a, Vol. 106, No. 6, 063509, 19.12.2022.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schomerus, H 2022, 'Fundamental constraints on the observability of non-Hermitian effects in passive systems', Physical review a, vol. 106, no. 6, 063509. https://doi.org/10.1103/physreva.106.063509

APA

Schomerus, H. (2022). Fundamental constraints on the observability of non-Hermitian effects in passive systems. Physical review a, 106(6), Article 063509. https://doi.org/10.1103/physreva.106.063509

Vancouver

Schomerus H. Fundamental constraints on the observability of non-Hermitian effects in passive systems. Physical review a. 2022 Dec 19;106(6):063509. doi: 10.1103/physreva.106.063509

Author

Schomerus, Henning. / Fundamental constraints on the observability of non-Hermitian effects in passive systems. In: Physical review a. 2022 ; Vol. 106, No. 6.

Bibtex

@article{e8949980f51e44348c998cdf69ce57d0,
title = "Fundamental constraints on the observability of non-Hermitian effects in passive systems",
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.",
author = "Henning Schomerus",
note = "{\textcopyright} 2022 American Physical Society ",
year = "2022",
month = dec,
day = "19",
doi = "10.1103/physreva.106.063509",
language = "English",
volume = "106",
journal = "Physical review a",
issn = "2469-9926",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Fundamental constraints on the observability of non-Hermitian effects in passive systems

AU - Schomerus, Henning

N1 - © 2022 American Physical Society

PY - 2022/12/19

Y1 - 2022/12/19

N2 - 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.

AB - 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.

U2 - 10.1103/physreva.106.063509

DO - 10.1103/physreva.106.063509

M3 - Journal article

VL - 106

JO - Physical review a

JF - Physical review a

SN - 2469-9926

IS - 6

M1 - 063509

ER -