Designing non-Hermitian real spectra through electrostatics

20 pages, 9 figures. v2: corrected typographical errors in parameters and amended references. v3: added additional section to supplement and updated revisions.

Detalhes bibliográficos
Autores: Yang, Russell, Tan, Jun Wei, Tai, Tommy, Koh, Jin Ming, Li, Linhu, Longhi, Stefano, Lee, Ching Hua
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2022
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositório:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/305173
Acesso em linha:http://hdl.handle.net/10261/305173
http://arxiv.org/abs/2201.04153v3
Access Level:Acceso aberto
Palavra-chave:Real spectrum
Band structure engineering
Bulk-boundary correspondence
Electrostatics
Non-Hermitian
Non-Hermitian skin effect
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spelling Designing non-Hermitian real spectra through electrostaticsYang, RussellTan, Jun WeiTai, TommyKoh, Jin MingLi, LinhuLonghi, StefanoLee, Ching HuaReal spectrumBand structure engineeringBulk-boundary correspondenceElectrostaticsNon-HermitianNon-Hermitian skin effect20 pages, 9 figures. v2: corrected typographical errors in parameters and amended references. v3: added additional section to supplement and updated revisions.Non-hermiticity presents a vast newly opened territory that harbors new physics and applications such as lasing and sensing. However, only non-Hermitian systems with real eigenenergies are stable, and great efforts have been devoted in designing them through enforcing parity-time (PT) symmetry. In this work, we exploit a lesser-known dynamical mechanism for enforcing real-spectra, and develop a comprehensive and versatile approach for designing new classes of parent Hamiltonians with real spectra. Our design approach is based on a new electrostatics analogy for modified non-Hermitian bulk-boundary correspondence, where electrostatic charge corresponds to density of states and electric fields correspond to complex spectral flow. As such, Hamiltonians of any desired spectra and state localization profile can be reverse-engineered, particularly those without any guiding symmetry principles. By recasting the diagonalization of non-Hermitian Hamiltonians as a Poisson boundary value problem, our electrostatics analogy also transcends the gain/loss-induced compounding of floating-point errors in traditional numerical methods, thereby allowing access to far larger system sizes.This work was supported by Singapore’s MOE Tier I grant WBS No. A-800022-00-00.Peer reviewedElsevierMinistry of Education (Singapore)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202320232022info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/10261/305173http://arxiv.org/abs/2201.04153v3reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésYang, Russell; Tan, Jun Wei; Tai, Tommy; Koh, Jin Ming; Li, Linhu; Longhi, Stefano; Lee, Ching Hua; 2022; Designing non-Hermitian real spectra through electrostatics - Supplementary Section [Dataset]; Elsevier; https://doi.org/10.1016/j.scib.2022.08.005Yang, Russell; Tan, Jun Wei; Tai, Tommy; Koh, Jin Ming; Li, Linhu; Longhi, Stefano; Lee, Ching Hua; 2022; Designing non-Hermitian real spectra through electrostatics [Preprint]; arXiv; Version 3; https://doi.org/10.48550/arXiv.2201.04153https://doi.org/10.1016/j.scib.2022.08.005Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3051732026-05-22T06:33:51Z
dc.title.none.fl_str_mv Designing non-Hermitian real spectra through electrostatics
title Designing non-Hermitian real spectra through electrostatics
spellingShingle Designing non-Hermitian real spectra through electrostatics
Yang, Russell
Real spectrum
Band structure engineering
Bulk-boundary correspondence
Electrostatics
Non-Hermitian
Non-Hermitian skin effect
title_short Designing non-Hermitian real spectra through electrostatics
title_full Designing non-Hermitian real spectra through electrostatics
title_fullStr Designing non-Hermitian real spectra through electrostatics
title_full_unstemmed Designing non-Hermitian real spectra through electrostatics
title_sort Designing non-Hermitian real spectra through electrostatics
dc.creator.none.fl_str_mv Yang, Russell
Tan, Jun Wei
Tai, Tommy
Koh, Jin Ming
Li, Linhu
Longhi, Stefano
Lee, Ching Hua
author Yang, Russell
author_facet Yang, Russell
Tan, Jun Wei
Tai, Tommy
Koh, Jin Ming
Li, Linhu
Longhi, Stefano
Lee, Ching Hua
author_role author
author2 Tan, Jun Wei
Tai, Tommy
Koh, Jin Ming
Li, Linhu
Longhi, Stefano
Lee, Ching Hua
author2_role author
author
author
author
author
author
dc.contributor.none.fl_str_mv Ministry of Education (Singapore)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Real spectrum
Band structure engineering
Bulk-boundary correspondence
Electrostatics
Non-Hermitian
Non-Hermitian skin effect
topic Real spectrum
Band structure engineering
Bulk-boundary correspondence
Electrostatics
Non-Hermitian
Non-Hermitian skin effect
description 20 pages, 9 figures. v2: corrected typographical errors in parameters and amended references. v3: added additional section to supplement and updated revisions.
publishDate 2022
dc.date.none.fl_str_mv 2022
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/305173
http://arxiv.org/abs/2201.04153v3
url http://hdl.handle.net/10261/305173
http://arxiv.org/abs/2201.04153v3
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Yang, Russell; Tan, Jun Wei; Tai, Tommy; Koh, Jin Ming; Li, Linhu; Longhi, Stefano; Lee, Ching Hua; 2022; Designing non-Hermitian real spectra through electrostatics - Supplementary Section [Dataset]; Elsevier; https://doi.org/10.1016/j.scib.2022.08.005
Yang, Russell; Tan, Jun Wei; Tai, Tommy; Koh, Jin Ming; Li, Linhu; Longhi, Stefano; Lee, Ching Hua; 2022; Designing non-Hermitian real spectra through electrostatics [Preprint]; arXiv; Version 3; https://doi.org/10.48550/arXiv.2201.04153
https://doi.org/10.1016/j.scib.2022.08.005
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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