Quantum-to-classical transition in a system with mixed classical dynamics
- Autores
- Toscano, Fabricio; Wisniacki, Diego Ariel
- Año de publicación
- 2006
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study how decoherence rules the quantum-classical transition of the kicked harmonic oscillator. The system presents classical dynamics that ranges from regular to strong chaotic behavior depending on the amplitude of the kicks. We show that for regular and mixed classical dynamics, and in the presence of noise, the distance between the classical and quantum phase space distributions is proportional to a single parameter χ≡K â.,eff2 â•4 D3â•2, which relates the effective Planck constant, â.,eff, to the kicking strength, K, and the diffusion constant, D. This relation between classical and quantum distributions is valid when χ<1, a case that is always attainable in the semiclassical regime, independent of the value of the strength of noise given by D. Our results extend a recent study performed in the chaotic regime. © 2006 The American Physical Society.
Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; Brasil
Fil: Wisniacki, Diego Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/71860
Ver los metadatos del registro completo
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Quantum-to-classical transition in a system with mixed classical dynamicsToscano, FabricioWisniacki, Diego Arielhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study how decoherence rules the quantum-classical transition of the kicked harmonic oscillator. The system presents classical dynamics that ranges from regular to strong chaotic behavior depending on the amplitude of the kicks. We show that for regular and mixed classical dynamics, and in the presence of noise, the distance between the classical and quantum phase space distributions is proportional to a single parameter χ≡K â.,eff2 â•4 D3â•2, which relates the effective Planck constant, â.,eff, to the kicking strength, K, and the diffusion constant, D. This relation between classical and quantum distributions is valid when χ<1, a case that is always attainable in the semiclassical regime, independent of the value of the strength of noise given by D. Our results extend a recent study performed in the chaotic regime. © 2006 The American Physical Society.Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; BrasilFil: Wisniacki, Diego Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaAmerican Physical Society2006-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/71860Toscano, Fabricio; Wisniacki, Diego Ariel; Quantum-to-classical transition in a system with mixed classical dynamics; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 74; 5; 12-2006; 562081-5620891539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.74.056208info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:42:27Zoai:ri.conicet.gov.ar:11336/71860instacron: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 09:42:28.01CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Quantum-to-classical transition in a system with mixed classical dynamics |
| title |
Quantum-to-classical transition in a system with mixed classical dynamics |
| spellingShingle |
Quantum-to-classical transition in a system with mixed classical dynamics Toscano, Fabricio |
| title_short |
Quantum-to-classical transition in a system with mixed classical dynamics |
| title_full |
Quantum-to-classical transition in a system with mixed classical dynamics |
| title_fullStr |
Quantum-to-classical transition in a system with mixed classical dynamics |
| title_full_unstemmed |
Quantum-to-classical transition in a system with mixed classical dynamics |
| title_sort |
Quantum-to-classical transition in a system with mixed classical dynamics |
| dc.creator.none.fl_str_mv |
Toscano, Fabricio Wisniacki, Diego Ariel |
| author |
Toscano, Fabricio |
| author_facet |
Toscano, Fabricio Wisniacki, Diego Ariel |
| author_role |
author |
| author2 |
Wisniacki, Diego Ariel |
| author2_role |
author |
| 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 how decoherence rules the quantum-classical transition of the kicked harmonic oscillator. The system presents classical dynamics that ranges from regular to strong chaotic behavior depending on the amplitude of the kicks. We show that for regular and mixed classical dynamics, and in the presence of noise, the distance between the classical and quantum phase space distributions is proportional to a single parameter χ≡K â.,eff2 â•4 D3â•2, which relates the effective Planck constant, â.,eff, to the kicking strength, K, and the diffusion constant, D. This relation between classical and quantum distributions is valid when χ<1, a case that is always attainable in the semiclassical regime, independent of the value of the strength of noise given by D. Our results extend a recent study performed in the chaotic regime. © 2006 The American Physical Society. Fil: Toscano, Fabricio. Universidade Federal do Rio de Janeiro; Brasil Fil: Wisniacki, Diego Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina |
| description |
We study how decoherence rules the quantum-classical transition of the kicked harmonic oscillator. The system presents classical dynamics that ranges from regular to strong chaotic behavior depending on the amplitude of the kicks. We show that for regular and mixed classical dynamics, and in the presence of noise, the distance between the classical and quantum phase space distributions is proportional to a single parameter χ≡K â.,eff2 â•4 D3â•2, which relates the effective Planck constant, â.,eff, to the kicking strength, K, and the diffusion constant, D. This relation between classical and quantum distributions is valid when χ<1, a case that is always attainable in the semiclassical regime, independent of the value of the strength of noise given by D. Our results extend a recent study performed in the chaotic regime. © 2006 The American Physical Society. |
| 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 |
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article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/71860 Toscano, Fabricio; Wisniacki, Diego Ariel; Quantum-to-classical transition in a system with mixed classical dynamics; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 74; 5; 12-2006; 562081-562089 1539-3755 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/71860 |
| identifier_str_mv |
Toscano, Fabricio; Wisniacki, Diego Ariel; Quantum-to-classical transition in a system with mixed classical dynamics; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 74; 5; 12-2006; 562081-562089 1539-3755 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.74.056208 |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
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American Physical Society |
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American Physical Society |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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