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Abstract:

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.

Registro:

Documento: Artículo
Título:Quantum-to-classical transition in a system with mixed classical dynamics
Autor:Toscano, F.; Wisniacki, D.A.
Filiación:Fundacao Centro de Ciencias e Educaao Superior a Distancia do Estado do Rio de Janeiro, 20943-001 Rio de Janeiro, RJ, Brazil
Instituto de Física, Universidade Federal do Rio de Janeiro, Cx. P. 68528, 21941-972 Rio de Janeiro, RJ, Brazil
Departamento de Física J. J. Giambiagi, FCEN, UBA, 1428 Buenos Aires, Argentina
Palabras clave:Chaos theory; Diffusion; Mathematical models; Quantum theory; Classical dynamics; Quantum distributions; Quantum-to-classical transition; Oscillators (electronic)
Año:2006
Volumen:74
Número:5
DOI: http://dx.doi.org/10.1103/PhysRevE.74.056208
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v74_n5_p_Toscano

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Citas:

---------- APA ----------
Toscano, F. & Wisniacki, D.A. (2006) . Quantum-to-classical transition in a system with mixed classical dynamics. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74(5).
http://dx.doi.org/10.1103/PhysRevE.74.056208
---------- CHICAGO ----------
Toscano, F., Wisniacki, D.A. "Quantum-to-classical transition in a system with mixed classical dynamics" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 74, no. 5 (2006).
http://dx.doi.org/10.1103/PhysRevE.74.056208
---------- MLA ----------
Toscano, F., Wisniacki, D.A. "Quantum-to-classical transition in a system with mixed classical dynamics" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 74, no. 5, 2006.
http://dx.doi.org/10.1103/PhysRevE.74.056208
---------- VANCOUVER ----------
Toscano, F., Wisniacki, D.A. Quantum-to-classical transition in a system with mixed classical dynamics. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2006;74(5).
http://dx.doi.org/10.1103/PhysRevE.74.056208