Giant emitters in a structured bath with non-Hermitian skin effect

Giant emitters derive their name from nonlocal field-emitter interactions and feature diverse self-interference effects. Authors of most of the existing works on giant emitters have considered Hermitian waveguides or photonic lattices. In this letter, we unveil how giant emitters behave if they are...

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Main Authors: Lei Du, Lingzhen Guo, Yan Zhang, Anton Frisk Kockum
Format: Article
Language:English
Published: American Physical Society 2023-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.L042040
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author Lei Du
Lingzhen Guo
Yan Zhang
Anton Frisk Kockum
author_facet Lei Du
Lingzhen Guo
Yan Zhang
Anton Frisk Kockum
author_sort Lei Du
collection DOAJ
description Giant emitters derive their name from nonlocal field-emitter interactions and feature diverse self-interference effects. Authors of most of the existing works on giant emitters have considered Hermitian waveguides or photonic lattices. In this letter, we unveil how giant emitters behave if they are coupled to a non-Hermitian bath, i.e., a Hatano-Nelson (HN) model which features the non-Hermitian skin effect due to the asymmetric intersite tunneling rates. We show that the behaviors of the giant emitters are closely related to the stability of the bath. In the convectively unstable regime, where the HN model can be mapped to a pseudo-Hermitian lattice, a giant emitter can either behave as in a Hermitian bath or undergo excitation amplification, depending on the relative strength of different emitter-bath coupling paths. Based on this mechanism, we can realize protected nonreciprocal interactions between giant emitters, with nonreciprocity opposite to that of the bath. Such giant-emitter effects are not allowed, however, if the HN model enters the absolutely unstable regime, where the coupled emitters always show secular energy growth. Our proposal provides a paradigm of non-Hermitian quantum optics, which may be useful for, e.g., engineering interactions between quantum emitters and performing many-body simulations in the non-Hermitian framework.
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spelling doaj.art-002e89a7b78347f6b6e5d6fe0ff557f12024-04-12T17:37:02ZengAmerican Physical SocietyPhysical Review Research2643-15642023-12-0154L04204010.1103/PhysRevResearch.5.L042040Giant emitters in a structured bath with non-Hermitian skin effectLei DuLingzhen GuoYan ZhangAnton Frisk KockumGiant emitters derive their name from nonlocal field-emitter interactions and feature diverse self-interference effects. Authors of most of the existing works on giant emitters have considered Hermitian waveguides or photonic lattices. In this letter, we unveil how giant emitters behave if they are coupled to a non-Hermitian bath, i.e., a Hatano-Nelson (HN) model which features the non-Hermitian skin effect due to the asymmetric intersite tunneling rates. We show that the behaviors of the giant emitters are closely related to the stability of the bath. In the convectively unstable regime, where the HN model can be mapped to a pseudo-Hermitian lattice, a giant emitter can either behave as in a Hermitian bath or undergo excitation amplification, depending on the relative strength of different emitter-bath coupling paths. Based on this mechanism, we can realize protected nonreciprocal interactions between giant emitters, with nonreciprocity opposite to that of the bath. Such giant-emitter effects are not allowed, however, if the HN model enters the absolutely unstable regime, where the coupled emitters always show secular energy growth. Our proposal provides a paradigm of non-Hermitian quantum optics, which may be useful for, e.g., engineering interactions between quantum emitters and performing many-body simulations in the non-Hermitian framework.http://doi.org/10.1103/PhysRevResearch.5.L042040
spellingShingle Lei Du
Lingzhen Guo
Yan Zhang
Anton Frisk Kockum
Giant emitters in a structured bath with non-Hermitian skin effect
Physical Review Research
title Giant emitters in a structured bath with non-Hermitian skin effect
title_full Giant emitters in a structured bath with non-Hermitian skin effect
title_fullStr Giant emitters in a structured bath with non-Hermitian skin effect
title_full_unstemmed Giant emitters in a structured bath with non-Hermitian skin effect
title_short Giant emitters in a structured bath with non-Hermitian skin effect
title_sort giant emitters in a structured bath with non hermitian skin effect
url http://doi.org/10.1103/PhysRevResearch.5.L042040
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AT antonfriskkockum giantemittersinastructuredbathwithnonhermitianskineffect