Two-level systems coupled to Graphene plasmons: a Lindblad equation approach
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/1822/80186 |
Resumo: | In this paper, we review the theory of open quantum systems and macroscopic quantum electrodynamics, providing a self-contained account of many aspects of these two theories. The former is presented in the context of a qubit coupled to a electromagnetic thermal bath, the latter is presented in the context of a quantization scheme for surface-plasmon polaritons (SPPs) in graphene based on Langevin noise currents. This includes a calculation of the dyadic Green’s function (in the electrostatic limit) for a Graphene sheet between two semi-infinite linear dielectric media, and its subsequent application to the construction of SPP creation and annihilation operators. We then bring the two fields together and discuss the entanglement of two qubits in the vicinity of a graphene sheet which supports SPPs. The two qubits communicate with each other via the emission and absorption of SPPs. We find that a Schrödinger cat state involving the two qubits can be partially protected from decoherence by taking advantage of the dissipative dynamics in graphene. A comparison is also drawn between the dynamics at zero temperature, obtained via Schrödinger’s equation, and at finite temperature, obtained using the Lindblad equation. |
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Two-level systems coupled to Graphene plasmons: a Lindblad equation approachGrapheneLindblad equationplasmonstwo-level systemScience & TechnologyIn this paper, we review the theory of open quantum systems and macroscopic quantum electrodynamics, providing a self-contained account of many aspects of these two theories. The former is presented in the context of a qubit coupled to a electromagnetic thermal bath, the latter is presented in the context of a quantization scheme for surface-plasmon polaritons (SPPs) in graphene based on Langevin noise currents. This includes a calculation of the dyadic Green’s function (in the electrostatic limit) for a Graphene sheet between two semi-infinite linear dielectric media, and its subsequent application to the construction of SPP creation and annihilation operators. We then bring the two fields together and discuss the entanglement of two qubits in the vicinity of a graphene sheet which supports SPPs. The two qubits communicate with each other via the emission and absorption of SPPs. We find that a Schrödinger cat state involving the two qubits can be partially protected from decoherence by taking advantage of the dissipative dynamics in graphene. A comparison is also drawn between the dynamics at zero temperature, obtained via Schrödinger’s equation, and at finite temperature, obtained using the Lindblad equation.World Scientific PublishingUniversidade do MinhoAntão, T. V. C.Peres, N. M. R.20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/80186engAntão, T. V. C., & Peres, N. M. R. (2021, August 10). Two-level systems coupled to Graphene plasmons: A Lindblad equation approach. International Journal of Modern Physics B. World Scientific Pub Co Pte Lt. http://doi.org/10.1142/s02179792213000730217-97921793-657810.1142/S0217979221300073https://www.worldscientific.com/doi/abs/10.1142/S0217979221300073info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:30:11Zoai:repositorium.sdum.uminho.pt:1822/80186Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:25:17.907710Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach |
title |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach |
spellingShingle |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach Antão, T. V. C. Graphene Lindblad equation plasmons two-level system Science & Technology |
title_short |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach |
title_full |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach |
title_fullStr |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach |
title_full_unstemmed |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach |
title_sort |
Two-level systems coupled to Graphene plasmons: a Lindblad equation approach |
author |
Antão, T. V. C. |
author_facet |
Antão, T. V. C. Peres, N. M. R. |
author_role |
author |
author2 |
Peres, N. M. R. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Antão, T. V. C. Peres, N. M. R. |
dc.subject.por.fl_str_mv |
Graphene Lindblad equation plasmons two-level system Science & Technology |
topic |
Graphene Lindblad equation plasmons two-level system Science & Technology |
description |
In this paper, we review the theory of open quantum systems and macroscopic quantum electrodynamics, providing a self-contained account of many aspects of these two theories. The former is presented in the context of a qubit coupled to a electromagnetic thermal bath, the latter is presented in the context of a quantization scheme for surface-plasmon polaritons (SPPs) in graphene based on Langevin noise currents. This includes a calculation of the dyadic Green’s function (in the electrostatic limit) for a Graphene sheet between two semi-infinite linear dielectric media, and its subsequent application to the construction of SPP creation and annihilation operators. We then bring the two fields together and discuss the entanglement of two qubits in the vicinity of a graphene sheet which supports SPPs. The two qubits communicate with each other via the emission and absorption of SPPs. We find that a Schrödinger cat state involving the two qubits can be partially protected from decoherence by taking advantage of the dissipative dynamics in graphene. A comparison is also drawn between the dynamics at zero temperature, obtained via Schrödinger’s equation, and at finite temperature, obtained using the Lindblad equation. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021 2021-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/1822/80186 |
url |
https://hdl.handle.net/1822/80186 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Antão, T. V. C., & Peres, N. M. R. (2021, August 10). Two-level systems coupled to Graphene plasmons: A Lindblad equation approach. International Journal of Modern Physics B. World Scientific Pub Co Pte Lt. http://doi.org/10.1142/s0217979221300073 0217-9792 1793-6578 10.1142/S0217979221300073 https://www.worldscientific.com/doi/abs/10.1142/S0217979221300073 |
dc.rights.driver.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 |
World Scientific Publishing |
publisher.none.fl_str_mv |
World Scientific Publishing |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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