Scaling laws in the quantum-to-classical transition in chaotic systems

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 tran...

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Autor principal: Wisniacki, D.A
Otros Autores: Toscano, F.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:Registro en Scopus
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100 1 |a Wisniacki, D.A. 
245 1 0 |a Scaling laws in the quantum-to-classical transition in chaotic systems 
260 |c 2009 
270 1 0 |m Wisniacki, D. A.; Departamento de Física J. J. Giambiagi, FCEN, UBA, 1428 Buenos Aires, Argentina 
506 |2 openaire  |e Política editorial 
504 |a Joos, E., Zeh, H.D., Kiefer, C., Giulini, D., Kupsch, J., Stamatescu, I.O., (2003) Decoherence and the Appearance of A Classical World in Quantum Theory, , Springer, Berlin 
504 |a Zurek, W.H., (2003) Rev. Mod. Phys., 75, p. 715. , 10.1103/RevModPhys.75.715 
504 |a Pattanayak, A.K., Sundaram, B., Greenbaum, B.D., (2003) Phys. Rev. Lett., 90, p. 014103. , 10.1103/PhysRevLett.90.014103 
504 |a Toscano, F., De Matos Filho, R.L., Davidovich, L., (2005) Phys. Rev. A, 71, p. 010101. , 10.1103/PhysRevA.71.010101 
504 |a Zurek, W.H., Paz, J.P., (1994) Phys. Rev. Lett., 72, p. 2508. , 10.1103/PhysRevLett.72.2508 
504 |a Monteoliva, D., Paz, J.P., (2000) Phys. Rev. Lett., 85, p. 3373. , 10.1103/PhysRevLett.85.3373 
504 |a Monteoliva, D., Paz, J.P., (2001) Phys. Rev. e, 64, p. 056238. , 10.1103/PhysRevE.64.056238 
504 |a Gammal, A., Pattanayak, A.K., (2007) Phys. Rev. e, 75, p. 036221. , 10.1103/PhysRevE.75.036221 
504 |a Zaslavsky, G.M., Sagdeev, R.Z., Usikov, D.A., Chernikov, A.A., (1991) Weak Chaos and Quasi-Regular Patterns, , Cambridge University Press, Cambridge, England 
504 |a Toscano, F., Wisniacki, D.A., (2006) Phys. Rev. e, 74, p. 056208. , 10.1103/PhysRevE.74.056208 
504 |a Cucchietti, F.M., Dalvit, D.A.R., Paz, J.P., Zurek, W.H., (2003) Phys. Rev. Lett., 91, p. 210403. , 10.1103/PhysRevLett.91.210403 
504 |a Jalabert, R.A., Pastawski, H.M., (2001) Phys. Rev. Lett., 86, p. 2490. , 10.1103/PhysRevLett.86.2490 
504 |a F. Toscano and D. A. Wisniacki (unpublished) 
520 3 |a 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.  |l eng 
593 |a Departamento de Física J. J. Giambiagi, FCEN, UBA, 1428 Buenos Aires, Argentina 
593 |a Fundação Centro de Ciências e Educação Superior A Distĝncia, Estado Do Rio de Janeiro, 20943-001 Rio de Janeiro, RJ, Brazil 
593 |a Instituto de Física, Universidade Federal Do Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, Brazil 
690 1 0 |a ENTROPY 
690 1 0 |a PHASE SPACE METHODS 
690 1 0 |a CLASSICAL BEHAVIORS 
690 1 0 |a DECOHERENCE 
690 1 0 |a PHASE-SPACE DISTRIBUTIONS 
690 1 0 |a PLANCK CONSTANTS 
690 1 0 |a QUANTUM BEHAVIORS 
690 1 0 |a QUANTUM COHERENCES 
690 1 0 |a QUANTUM-TO-CLASSICAL TRANSITIONS 
690 1 0 |a RENYI ENTROPIES 
690 1 0 |a SCALING LAW 
690 1 0 |a SCALINGS 
690 1 0 |a CHAOTIC SYSTEMS 
700 1 |a Toscano, F. 
773 0 |d 2009  |g v. 79  |k n. 2  |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys.  |x 15393755  |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 
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856 4 0 |u https://doi.org/10.1103/PhysRevE.79.025203  |y DOI 
856 4 0 |u https://hdl.handle.net/20.500.12110/paper_15393755_v79_n2_p_Wisniacki  |y Handle 
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