Environmentally induced quantum dynamical phase transition in the spin swapping operation

Autores
Alvarez, Gonzalo Agustin; Danieli, Ernesto Pablo; Levstein, Patricia Rebeca; Pastawski, Horacio Miguel
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Quantum information processing relies on coherent quantum dynamics for a precise control of its basic operations. A swapping gate in a two-spin system exchanges the degenerate states ∫↑, ↓〉 and ∫↓, ↑〉. In NMR, this is achieved turning on and off the spin-spin interaction b=ΔE that splits the energy levels and induces an oscillation with a natural frequency ΔEℏ. Interaction of strength ℏ τSE, with an environment of neighboring spins, degrades this oscillation within a decoherence time scale τφ. While the experimental frequency ω and decoherence time τφ were expected to be roughly proportional to bℏ and τSE, respectively, we present here experiments that show drastic deviations in both ω and τφ. By solving the many spin dynamics, we prove that the swapping regime is restricted to ΔE τSE ℏ. Beyond a critical interaction with the environment the swapping freezes and the decoherence rate drops as 1 τφ ≳ (bℏ)2 τSE. The transition between quantum dynamical phases occurs when ω≳ (bℏ)2 - (k τSE) 2 becomes imaginary, resembling an overdamped classical oscillator. Here, 0≤ k2 ≤1 depends only on the anisotropy of the system-environment interaction, being 0 for isotropic and 1 for XY interactions. This critical onset of a phase dominated by the quantum Zeno effect opens up new opportunities for controlling quantum dynamics.
Fil: Alvarez, Gonzalo Agustin. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche | Comisión Nacional de Energía Atómica. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche; Argentina
Fil: Danieli, Ernesto Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Levstein, Patricia Rebeca. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Pastawski, Horacio Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
Quantum Dynamical Phase Transition
Spin Dynamics
Solid State NMR
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:11336/138084
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/138084
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Environmentally induced quantum dynamical phase transition in the spin swapping operationAlvarez, Gonzalo AgustinDanieli, Ernesto PabloLevstein, Patricia RebecaPastawski, Horacio MiguelQuantum Dynamical Phase TransitionSpin DynamicsSolid State NMRhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Quantum information processing relies on coherent quantum dynamics for a precise control of its basic operations. A swapping gate in a two-spin system exchanges the degenerate states ∫↑, ↓〉 and ∫↓, ↑〉. In NMR, this is achieved turning on and off the spin-spin interaction b=ΔE that splits the energy levels and induces an oscillation with a natural frequency ΔEℏ. Interaction of strength ℏ τSE, with an environment of neighboring spins, degrades this oscillation within a decoherence time scale τφ. While the experimental frequency ω and decoherence time τφ were expected to be roughly proportional to bℏ and τSE, respectively, we present here experiments that show drastic deviations in both ω and τφ. By solving the many spin dynamics, we prove that the swapping regime is restricted to ΔE τSE ℏ. Beyond a critical interaction with the environment the swapping freezes and the decoherence rate drops as 1 τφ ≳ (bℏ)2 τSE. The transition between quantum dynamical phases occurs when ω≳ (bℏ)2 - (k τSE) 2 becomes imaginary, resembling an overdamped classical oscillator. Here, 0≤ k2 ≤1 depends only on the anisotropy of the system-environment interaction, being 0 for isotropic and 1 for XY interactions. This critical onset of a phase dominated by the quantum Zeno effect opens up new opportunities for controlling quantum dynamics.Fil: Alvarez, Gonzalo Agustin. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche | Comisión Nacional de Energía Atómica. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche; ArgentinaFil: Danieli, Ernesto Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Levstein, Patricia Rebeca. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Pastawski, Horacio Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaAmerican Institute of Physics2006-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/138084Alvarez, Gonzalo Agustin; Danieli, Ernesto Pablo; Levstein, Patricia Rebeca; Pastawski, Horacio Miguel; Environmentally induced quantum dynamical phase transition in the spin swapping operation; American Institute of Physics; Journal of Chemical Physics; 124; 19; 12-2006; 1-80021-9606CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.2193518info:eu-repo/semantics/altIdentifier/doi/10.1063/1.2193518info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:10:53Zoai:ri.conicet.gov.ar:11336/138084instacron: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:34982025-10-15 15:10:53.321CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Environmentally induced quantum dynamical phase transition in the spin swapping operation
title Environmentally induced quantum dynamical phase transition in the spin swapping operation
spellingShingle Environmentally induced quantum dynamical phase transition in the spin swapping operation
Alvarez, Gonzalo Agustin
Quantum Dynamical Phase Transition
Spin Dynamics
Solid State NMR
title_short Environmentally induced quantum dynamical phase transition in the spin swapping operation
title_full Environmentally induced quantum dynamical phase transition in the spin swapping operation
title_fullStr Environmentally induced quantum dynamical phase transition in the spin swapping operation
title_full_unstemmed Environmentally induced quantum dynamical phase transition in the spin swapping operation
title_sort Environmentally induced quantum dynamical phase transition in the spin swapping operation
dc.creator.none.fl_str_mv Alvarez, Gonzalo Agustin
Danieli, Ernesto Pablo
Levstein, Patricia Rebeca
Pastawski, Horacio Miguel
author Alvarez, Gonzalo Agustin
author_facet Alvarez, Gonzalo Agustin
Danieli, Ernesto Pablo
Levstein, Patricia Rebeca
Pastawski, Horacio Miguel
author_role author
author2 Danieli, Ernesto Pablo
Levstein, Patricia Rebeca
Pastawski, Horacio Miguel
author2_role author
author
author
dc.subject.none.fl_str_mv Quantum Dynamical Phase Transition
Spin Dynamics
Solid State NMR
topic Quantum Dynamical Phase Transition
Spin Dynamics
Solid State NMR
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Quantum information processing relies on coherent quantum dynamics for a precise control of its basic operations. A swapping gate in a two-spin system exchanges the degenerate states ∫↑, ↓〉 and ∫↓, ↑〉. In NMR, this is achieved turning on and off the spin-spin interaction b=ΔE that splits the energy levels and induces an oscillation with a natural frequency ΔEℏ. Interaction of strength ℏ τSE, with an environment of neighboring spins, degrades this oscillation within a decoherence time scale τφ. While the experimental frequency ω and decoherence time τφ were expected to be roughly proportional to bℏ and τSE, respectively, we present here experiments that show drastic deviations in both ω and τφ. By solving the many spin dynamics, we prove that the swapping regime is restricted to ΔE τSE ℏ. Beyond a critical interaction with the environment the swapping freezes and the decoherence rate drops as 1 τφ ≳ (bℏ)2 τSE. The transition between quantum dynamical phases occurs when ω≳ (bℏ)2 - (k τSE) 2 becomes imaginary, resembling an overdamped classical oscillator. Here, 0≤ k2 ≤1 depends only on the anisotropy of the system-environment interaction, being 0 for isotropic and 1 for XY interactions. This critical onset of a phase dominated by the quantum Zeno effect opens up new opportunities for controlling quantum dynamics.
Fil: Alvarez, Gonzalo Agustin. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche | Comisión Nacional de Energía Atómica. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología. Unidad Ejecutora Instituto de Nanociencia y Nanotecnología - Nodo Bariloche; Argentina
Fil: Danieli, Ernesto Pablo. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Levstein, Patricia Rebeca. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Pastawski, Horacio Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description Quantum information processing relies on coherent quantum dynamics for a precise control of its basic operations. A swapping gate in a two-spin system exchanges the degenerate states ∫↑, ↓〉 and ∫↓, ↑〉. In NMR, this is achieved turning on and off the spin-spin interaction b=ΔE that splits the energy levels and induces an oscillation with a natural frequency ΔEℏ. Interaction of strength ℏ τSE, with an environment of neighboring spins, degrades this oscillation within a decoherence time scale τφ. While the experimental frequency ω and decoherence time τφ were expected to be roughly proportional to bℏ and τSE, respectively, we present here experiments that show drastic deviations in both ω and τφ. By solving the many spin dynamics, we prove that the swapping regime is restricted to ΔE τSE ℏ. Beyond a critical interaction with the environment the swapping freezes and the decoherence rate drops as 1 τφ ≳ (bℏ)2 τSE. The transition between quantum dynamical phases occurs when ω≳ (bℏ)2 - (k τSE) 2 becomes imaginary, resembling an overdamped classical oscillator. Here, 0≤ k2 ≤1 depends only on the anisotropy of the system-environment interaction, being 0 for isotropic and 1 for XY interactions. This critical onset of a phase dominated by the quantum Zeno effect opens up new opportunities for controlling quantum dynamics.
publishDate 2006
dc.date.none.fl_str_mv 2006-12
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/11336/138084
Alvarez, Gonzalo Agustin; Danieli, Ernesto Pablo; Levstein, Patricia Rebeca; Pastawski, Horacio Miguel; Environmentally induced quantum dynamical phase transition in the spin swapping operation; American Institute of Physics; Journal of Chemical Physics; 124; 19; 12-2006; 1-8
0021-9606
CONICET Digital
CONICET
url http://hdl.handle.net/11336/138084
identifier_str_mv Alvarez, Gonzalo Agustin; Danieli, Ernesto Pablo; Levstein, Patricia Rebeca; Pastawski, Horacio Miguel; Environmentally induced quantum dynamical phase transition in the spin swapping operation; American Institute of Physics; Journal of Chemical Physics; 124; 19; 12-2006; 1-8
0021-9606
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://aip.scitation.org/doi/10.1063/1.2193518
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.2193518
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
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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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