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Abstract:

We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a transition from quantum to classical behavior that scales with eff2 D, where eff is the effective Planck constant and D is the strength of the noise. However, it was recently shown that a different scaling law controls the quantum-to-classical transition when it is measured comparing the corresponding phase-space distributions. Then, we discuss the meaning of both scalings in the precise definition of a frontier between the classical and quantum behaviors. Finally, we show that there are quantum coherences that the Renyi entropy is unable to detect, which questions its use in studies of decoherence. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Scaling laws in the quantum-to-classical transition in chaotic systems
Autor:Wisniacki, D.A.; Toscano, F.
Filiación:Departamento de Física J. J. Giambiagi, FCEN, UBA, 1428 Buenos Aires, Argentina
Fundação Centro de Ciências e Educação Superior A Distĝncia, Estado Do Rio de Janeiro, 20943-001 Rio de Janeiro, RJ, Brazil
Instituto de Física, Universidade Federal Do Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, Brazil
Palabras clave:Entropy; Phase space methods; Classical behaviors; Decoherence; Phase-space distributions; Planck constants; Quantum behaviors; Quantum coherences; Quantum-to-classical transitions; Renyi entropies; Scaling law; Scalings; Chaotic systems
Año:2009
Volumen:79
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevE.79.025203
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_v79_n2_p_Wisniacki

Referencias:

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  • F. Toscano and D. A. Wisniacki (unpublished)

Citas:

---------- APA ----------
Wisniacki, D.A. & Toscano, F. (2009) . Scaling laws in the quantum-to-classical transition in chaotic systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 79(2).
http://dx.doi.org/10.1103/PhysRevE.79.025203
---------- CHICAGO ----------
Wisniacki, D.A., Toscano, F. "Scaling laws in the quantum-to-classical transition in chaotic systems" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 79, no. 2 (2009).
http://dx.doi.org/10.1103/PhysRevE.79.025203
---------- MLA ----------
Wisniacki, D.A., Toscano, F. "Scaling laws in the quantum-to-classical transition in chaotic systems" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 79, no. 2, 2009.
http://dx.doi.org/10.1103/PhysRevE.79.025203
---------- VANCOUVER ----------
Wisniacki, D.A., Toscano, F. Scaling laws in the quantum-to-classical transition in chaotic systems. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;79(2).
http://dx.doi.org/10.1103/PhysRevE.79.025203