A non-Hermitian loop for a quantum measurement

Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger’s equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space en...

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Authors: Foa Torres, Luis E. F., Roche, Stephan
Format: article
Status:Published version
Publication Date:2025
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/398061
Online Access:http://hdl.handle.net/10261/398061
https://api.elsevier.com/content/abstract/scopus_id/105008795132
Access Level:Open access
Keyword:Non-Hermitian systems
Quantum dynamics
Quantum measurements
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spelling A non-Hermitian loop for a quantum measurementFoa Torres, Luis E. F.Roche, StephanNon-Hermitian systemsQuantum dynamicsQuantum measurementsHere we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger’s equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions. This perspective opens a way to simulate quantum measurements in classical systems that up to now were restricted to the Schrödinger part of the quantum dynamics.We thank Joaquín Márquez Delgado, Diego Bautista Avilés, Igor Gornyi, Yuval Gefen, and Mikhail Kiselev for useful discussions, and C. Cormick, Michael Berry, Franck Laloë and Quancheng Liu for useful comments. L.E.F.F.T. acknowledges financial support by ANID FONDECYT (Chile) through grants 1211038 and 1250751, The Abdus Salam International Center for Theoretical Physics and the Simons Foundation, and by the EU Horizon 2020 research and innovation program under the Marie-Sklodowska-Curie Grant Agreement No. 873028 (HYDROTRONICS Project). ICN2 is funded by the CERCA programme/Generalitat de Catalunya, and is supported by the Severo Ochoa Centres of Excellence programme, Grant CEX2021-001214-S, funded by MCIN/AEI/10.13039.501100011033. This work is also supported by MICIN with European funds-NextGenerationEU (PRTR-C17.I1) and by 2021 SGR 00997, funded by Generalitat de Catalunya.With funding from the Spanish government through the "Severo Ochoa Centre of Excelence" accreditation (CEX2021-001214-S)Peer reviewedIOP PublishingAgencia Nacional de Investigación y Desarrollo (Chile)Fondo Nacional de Desarrollo Científico y Tecnológico (Chile)Abdus Salam International Centre for Theoretical PhysicsSimons FoundationEuropean CommissionGeneralitat de CatalunyaMinisterio de Ciencia e Innovación (España)Agencia Estatal de Investigación (España)Foa Torres, Luis E. F. [0000-0002-6319-9593]Roche, Stephan [0000-0003-0323-4665]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252025info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/398061https://api.elsevier.com/content/abstract/scopus_id/105008795132reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/EC/H2020/873028info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/CEX2021-001214-Shttps://doi.org/10.1088/2399-6528/ade19bSíinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3980612026-05-22T06:33:51Z
dc.title.none.fl_str_mv A non-Hermitian loop for a quantum measurement
title A non-Hermitian loop for a quantum measurement
spellingShingle A non-Hermitian loop for a quantum measurement
Foa Torres, Luis E. F.
Non-Hermitian systems
Quantum dynamics
Quantum measurements
title_short A non-Hermitian loop for a quantum measurement
title_full A non-Hermitian loop for a quantum measurement
title_fullStr A non-Hermitian loop for a quantum measurement
title_full_unstemmed A non-Hermitian loop for a quantum measurement
title_sort A non-Hermitian loop for a quantum measurement
dc.creator.none.fl_str_mv Foa Torres, Luis E. F.
Roche, Stephan
author Foa Torres, Luis E. F.
author_facet Foa Torres, Luis E. F.
Roche, Stephan
author_role author
author2 Roche, Stephan
author2_role author
dc.contributor.none.fl_str_mv Agencia Nacional de Investigación y Desarrollo (Chile)
Fondo Nacional de Desarrollo Científico y Tecnológico (Chile)
Abdus Salam International Centre for Theoretical Physics
Simons Foundation
European Commission
Generalitat de Catalunya
Ministerio de Ciencia e Innovación (España)
Agencia Estatal de Investigación (España)
Foa Torres, Luis E. F. [0000-0002-6319-9593]
Roche, Stephan [0000-0003-0323-4665]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Non-Hermitian systems
Quantum dynamics
Quantum measurements
topic Non-Hermitian systems
Quantum dynamics
Quantum measurements
description Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger’s equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions. This perspective opens a way to simulate quantum measurements in classical systems that up to now were restricted to the Schrödinger part of the quantum dynamics.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/398061
https://api.elsevier.com/content/abstract/scopus_id/105008795132
url http://hdl.handle.net/10261/398061
https://api.elsevier.com/content/abstract/scopus_id/105008795132
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
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info:eu-repo/grantAgreement/EC/H2020/873028
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/CEX2021-001214-S
https://doi.org/10.1088/2399-6528/ade19b
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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
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