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Compatibility of transport effects in non-Hermitian nonreciprocal systems

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Compatibility of transport effects in non-Hermitian nonreciprocal systems. / Ghaemi-Dizicheh, H.; Schomerus, H.
In: Physical review a, Vol. 104, No. 2, 023515, 31.08.2021.

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Ghaemi-Dizicheh H, Schomerus H. Compatibility of transport effects in non-Hermitian nonreciprocal systems. Physical review a. 2021 Aug 31;104(2):023515. Epub 2021 Aug 19. doi: 10.1103/PhysRevA.104.023515

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Ghaemi-Dizicheh, H. ; Schomerus, H. / Compatibility of transport effects in non-Hermitian nonreciprocal systems. In: Physical review a. 2021 ; Vol. 104, No. 2.

Bibtex

@article{51e331675d914a14b8e487a40cf4a6ce,
title = "Compatibility of transport effects in non-Hermitian nonreciprocal systems",
abstract = "Based on a general transport theory for nonreciprocal non-Hermitian systems and a topological model that encompasses a wide range of previously studied examples, we (i) provide conditions for effects such as reflectionless and transparent transport, lasing, and coherent perfect absorption, (ii) identify which effects are compatible and linked with each other, and (iii) determine by which levers they can be tuned independently. For instance, the directed amplification inherent in the non-Hermitian skin effect does not enter the spectral conditions for reflectionless transport, lasing, or coherent perfect absorption, but allows to adjust the transparency of the system. In addition, in the topological model the conditions for reflectionless transport depend on the topological phase, but those for coherent perfect absorption do not. This then allows us to establish a number of distinct transport signatures of non-Hermitian, nonreciprocal, and topological behavior, in particular (1) reflectionless transport in a direction that depends on the topological phase, (2) invisibility coinciding with the skin-effect phase transition of topological edge states, and (3) coherent perfect absorption in a system that is transparent when probed from one side. ",
keywords = "Skin effect, Statistical mechanics, Coherent perfect absorptions, Nonreciprocal, Reflectionless, Spectral conditions, Topological models, Topological phase, Transport effects, Transport theory, Topology",
author = "H. Ghaemi-Dizicheh and H. Schomerus",
note = "{\textcopyright} 2021 American Physical Society ",
year = "2021",
month = aug,
day = "31",
doi = "10.1103/PhysRevA.104.023515",
language = "English",
volume = "104",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Compatibility of transport effects in non-Hermitian nonreciprocal systems

AU - Ghaemi-Dizicheh, H.

AU - Schomerus, H.

N1 - © 2021 American Physical Society

PY - 2021/8/31

Y1 - 2021/8/31

N2 - Based on a general transport theory for nonreciprocal non-Hermitian systems and a topological model that encompasses a wide range of previously studied examples, we (i) provide conditions for effects such as reflectionless and transparent transport, lasing, and coherent perfect absorption, (ii) identify which effects are compatible and linked with each other, and (iii) determine by which levers they can be tuned independently. For instance, the directed amplification inherent in the non-Hermitian skin effect does not enter the spectral conditions for reflectionless transport, lasing, or coherent perfect absorption, but allows to adjust the transparency of the system. In addition, in the topological model the conditions for reflectionless transport depend on the topological phase, but those for coherent perfect absorption do not. This then allows us to establish a number of distinct transport signatures of non-Hermitian, nonreciprocal, and topological behavior, in particular (1) reflectionless transport in a direction that depends on the topological phase, (2) invisibility coinciding with the skin-effect phase transition of topological edge states, and (3) coherent perfect absorption in a system that is transparent when probed from one side.

AB - Based on a general transport theory for nonreciprocal non-Hermitian systems and a topological model that encompasses a wide range of previously studied examples, we (i) provide conditions for effects such as reflectionless and transparent transport, lasing, and coherent perfect absorption, (ii) identify which effects are compatible and linked with each other, and (iii) determine by which levers they can be tuned independently. For instance, the directed amplification inherent in the non-Hermitian skin effect does not enter the spectral conditions for reflectionless transport, lasing, or coherent perfect absorption, but allows to adjust the transparency of the system. In addition, in the topological model the conditions for reflectionless transport depend on the topological phase, but those for coherent perfect absorption do not. This then allows us to establish a number of distinct transport signatures of non-Hermitian, nonreciprocal, and topological behavior, in particular (1) reflectionless transport in a direction that depends on the topological phase, (2) invisibility coinciding with the skin-effect phase transition of topological edge states, and (3) coherent perfect absorption in a system that is transparent when probed from one side.

KW - Skin effect

KW - Statistical mechanics

KW - Coherent perfect absorptions

KW - Nonreciprocal

KW - Reflectionless

KW - Spectral conditions

KW - Topological models

KW - Topological phase

KW - Transport effects

KW - Transport theory

KW - Topology

U2 - 10.1103/PhysRevA.104.023515

DO - 10.1103/PhysRevA.104.023515

M3 - Journal article

VL - 104

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 2

M1 - 023515

ER -