Accurate truncations of chain mapping models for open quantum systems

The dynamics of open quantum systems are of great interest in many research fields, such as for the interaction of a quantum emitter with the electromagnetic modes of a nanophotonic structure. A powerful approach for treating such setups in the non-Markovian limit is given by the chain mapping where...

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Detalles Bibliográficos
Autores: Sánchez-Barquilla, Mónica, Feist, Johannes
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/699187
Acceso en línea:http://hdl.handle.net/10486/699187
https://dx.doi.org/10.3390/nano11082104
Access Level:acceso abierto
Palabra clave:Chain mapping
Harmonic oscillators
Nanophotonics
Non-Markovian dynamics
Quantum dissipation
Spectral density
Física
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spelling Accurate truncations of chain mapping models for open quantum systemsSánchez-Barquilla, MónicaFeist, JohannesChain mappingHarmonic oscillatorsNanophotonicsNon-Markovian dynamicsQuantum dissipationSpectral densityFísicaThe dynamics of open quantum systems are of great interest in many research fields, such as for the interaction of a quantum emitter with the electromagnetic modes of a nanophotonic structure. A powerful approach for treating such setups in the non-Markovian limit is given by the chain mapping where an arbitrary environment can be transformed to a chain of modes with only nearest-neighbor coupling. However, when long propagation times are desired, the required long chain lengths limit the utility of this approach. We study various approaches for truncating the chains at manageable lengths while still preserving an accurate description of the dynamics. We achieve this by introducing losses to the chain modes in such a way that the effective environment acting on the system remains unchanged, using a number of different strategies. Furthermore, we demonstrate that extending the chain mapping to allow next-nearest neighbor coupling permits the reproduction of an arbitrary environment, and adding longer-range interactions does not further increase the effective number of degrees of freedom in the environmentThis work has been funded by the European Research Council through grant ERC-2016- StG-714870 and by the Spanish Ministry for Science, Innovation, and Universities—Agencia Estatal de Investigación through grants RTI2018-099737-B-I00, PCI2018-093145 (through the QuantERA program of the European Commission), and CEX2018-000805-M (through the María de Maeztu program for Units of Excellence in R&D)MDPIDepartamento de Física Teórica de la Materia CondensadaFacultad de Ciencias20212021-08-19research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/699187https://dx.doi.org/10.3390/nano11082104reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengEuropean Commission http://dx.doi.org/10.13039/501100000780 Horizon 2020 Framework Programme 714870open accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/6991872026-06-23T12:46:27Z
dc.title.none.fl_str_mv Accurate truncations of chain mapping models for open quantum systems
title Accurate truncations of chain mapping models for open quantum systems
spellingShingle Accurate truncations of chain mapping models for open quantum systems
Sánchez-Barquilla, Mónica
Chain mapping
Harmonic oscillators
Nanophotonics
Non-Markovian dynamics
Quantum dissipation
Spectral density
Física
title_short Accurate truncations of chain mapping models for open quantum systems
title_full Accurate truncations of chain mapping models for open quantum systems
title_fullStr Accurate truncations of chain mapping models for open quantum systems
title_full_unstemmed Accurate truncations of chain mapping models for open quantum systems
title_sort Accurate truncations of chain mapping models for open quantum systems
dc.creator.none.fl_str_mv Sánchez-Barquilla, Mónica
Feist, Johannes
author Sánchez-Barquilla, Mónica
author_facet Sánchez-Barquilla, Mónica
Feist, Johannes
author_role author
author2 Feist, Johannes
author2_role author
dc.contributor.none.fl_str_mv Departamento de Física Teórica de la Materia Condensada
Facultad de Ciencias
dc.subject.none.fl_str_mv Chain mapping
Harmonic oscillators
Nanophotonics
Non-Markovian dynamics
Quantum dissipation
Spectral density
Física
topic Chain mapping
Harmonic oscillators
Nanophotonics
Non-Markovian dynamics
Quantum dissipation
Spectral density
Física
description The dynamics of open quantum systems are of great interest in many research fields, such as for the interaction of a quantum emitter with the electromagnetic modes of a nanophotonic structure. A powerful approach for treating such setups in the non-Markovian limit is given by the chain mapping where an arbitrary environment can be transformed to a chain of modes with only nearest-neighbor coupling. However, when long propagation times are desired, the required long chain lengths limit the utility of this approach. We study various approaches for truncating the chains at manageable lengths while still preserving an accurate description of the dynamics. We achieve this by introducing losses to the chain modes in such a way that the effective environment acting on the system remains unchanged, using a number of different strategies. Furthermore, we demonstrate that extending the chain mapping to allow next-nearest neighbor coupling permits the reproduction of an arbitrary environment, and adding longer-range interactions does not further increase the effective number of degrees of freedom in the environment
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-08-19
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/699187
https://dx.doi.org/10.3390/nano11082104
url http://hdl.handle.net/10486/699187
https://dx.doi.org/10.3390/nano11082104
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Commission http://dx.doi.org/10.13039/501100000780 Horizon 2020 Framework Programme 714870
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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