Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence

Autores
Andrade Hoyos, Jhon Alejandro; Aligia, Armando Angel; Quinteiro, Guillermo Federico
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the optically induced effective interaction between spins in micropillars. Our theoretical model describes a circularly polarized cavity mode strongly coupled to two quantum-dot excitons, each of which interacts with a localized spin. The decoherence effect inducing a finite lifetime to the cavity mode is included. Using the master equation for the density matrix we investigate the dynamics under low-power excitation. In the absence of decoherence, we recover the result obtained in a previous work (which uses conventional low-energy reduction procedures) for an effective Hamiltonian containing a Zeeman term and an Ising interaction between the localized spins. For finite cavity-photon lifetime we employ Fourier analysis on the time dependence of the nondiagonal element of the reduced density matrix, obtained by tracing out the photons and excitons, to find a quasieffective spin-spin Ising Hamiltonian. This Hamiltonian is a possible building block for two-qubit quantum computing operation. We study how decoherence affects the construction of that effective interaction. Finally, we discuss the possible application for transition-metal impurity spins embedded in CdTe quantum dots.
Fil: Andrade Hoyos, Jhon Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Aligia, Armando Angel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Quinteiro, Guillermo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Materia
spin-spin interaction
decoherence
polaritons
quantum computing
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/269461
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherenceAndrade Hoyos, Jhon AlejandroAligia, Armando AngelQuinteiro, Guillermo Federicospin-spin interactiondecoherencepolaritonsquantum computinghttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the optically induced effective interaction between spins in micropillars. Our theoretical model describes a circularly polarized cavity mode strongly coupled to two quantum-dot excitons, each of which interacts with a localized spin. The decoherence effect inducing a finite lifetime to the cavity mode is included. Using the master equation for the density matrix we investigate the dynamics under low-power excitation. In the absence of decoherence, we recover the result obtained in a previous work (which uses conventional low-energy reduction procedures) for an effective Hamiltonian containing a Zeeman term and an Ising interaction between the localized spins. For finite cavity-photon lifetime we employ Fourier analysis on the time dependence of the nondiagonal element of the reduced density matrix, obtained by tracing out the photons and excitons, to find a quasieffective spin-spin Ising Hamiltonian. This Hamiltonian is a possible building block for two-qubit quantum computing operation. We study how decoherence affects the construction of that effective interaction. Finally, we discuss the possible application for transition-metal impurity spins embedded in CdTe quantum dots.Fil: Andrade Hoyos, Jhon Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); ArgentinaFil: Aligia, Armando Angel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Quinteiro, Guillermo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaAmerican Physical Society2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/269461Andrade Hoyos, Jhon Alejandro; Aligia, Armando Angel; Quinteiro, Guillermo Federico; Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 85; 16; 4-2012; 165-4211098-0121CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.85.165421info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.85.165421info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:29Zoai:ri.conicet.gov.ar:11336/269461instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:39:29.565CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
spellingShingle Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
Andrade Hoyos, Jhon Alejandro
spin-spin interaction
decoherence
polaritons
quantum computing
title_short Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_full Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_fullStr Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_full_unstemmed Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
title_sort Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
dc.creator.none.fl_str_mv Andrade Hoyos, Jhon Alejandro
Aligia, Armando Angel
Quinteiro, Guillermo Federico
author Andrade Hoyos, Jhon Alejandro
author_facet Andrade Hoyos, Jhon Alejandro
Aligia, Armando Angel
Quinteiro, Guillermo Federico
author_role author
author2 Aligia, Armando Angel
Quinteiro, Guillermo Federico
author2_role author
author
dc.subject.none.fl_str_mv spin-spin interaction
decoherence
polaritons
quantum computing
topic spin-spin interaction
decoherence
polaritons
quantum computing
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the optically induced effective interaction between spins in micropillars. Our theoretical model describes a circularly polarized cavity mode strongly coupled to two quantum-dot excitons, each of which interacts with a localized spin. The decoherence effect inducing a finite lifetime to the cavity mode is included. Using the master equation for the density matrix we investigate the dynamics under low-power excitation. In the absence of decoherence, we recover the result obtained in a previous work (which uses conventional low-energy reduction procedures) for an effective Hamiltonian containing a Zeeman term and an Ising interaction between the localized spins. For finite cavity-photon lifetime we employ Fourier analysis on the time dependence of the nondiagonal element of the reduced density matrix, obtained by tracing out the photons and excitons, to find a quasieffective spin-spin Ising Hamiltonian. This Hamiltonian is a possible building block for two-qubit quantum computing operation. We study how decoherence affects the construction of that effective interaction. Finally, we discuss the possible application for transition-metal impurity spins embedded in CdTe quantum dots.
Fil: Andrade Hoyos, Jhon Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina
Fil: Aligia, Armando Angel. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Quinteiro, Guillermo Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
description We study the optically induced effective interaction between spins in micropillars. Our theoretical model describes a circularly polarized cavity mode strongly coupled to two quantum-dot excitons, each of which interacts with a localized spin. The decoherence effect inducing a finite lifetime to the cavity mode is included. Using the master equation for the density matrix we investigate the dynamics under low-power excitation. In the absence of decoherence, we recover the result obtained in a previous work (which uses conventional low-energy reduction procedures) for an effective Hamiltonian containing a Zeeman term and an Ising interaction between the localized spins. For finite cavity-photon lifetime we employ Fourier analysis on the time dependence of the nondiagonal element of the reduced density matrix, obtained by tracing out the photons and excitons, to find a quasieffective spin-spin Ising Hamiltonian. This Hamiltonian is a possible building block for two-qubit quantum computing operation. We study how decoherence affects the construction of that effective interaction. Finally, we discuss the possible application for transition-metal impurity spins embedded in CdTe quantum dots.
publishDate 2012
dc.date.none.fl_str_mv 2012-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/269461
Andrade Hoyos, Jhon Alejandro; Aligia, Armando Angel; Quinteiro, Guillermo Federico; Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 85; 16; 4-2012; 165-421
1098-0121
CONICET Digital
CONICET
url http://hdl.handle.net/11336/269461
identifier_str_mv Andrade Hoyos, Jhon Alejandro; Aligia, Armando Angel; Quinteiro, Guillermo Federico; Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 85; 16; 4-2012; 165-421
1098-0121
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.85.165421
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.85.165421
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.069144

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