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Bianucci, P.; Paz, J.P.; Saraceno, M. "Decoherence for classically chaotic quantum maps" (2002) Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 65(4):12
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Abstract:

We study the behavior of an open quantum system, with an N-dimensional space of states, whose density matrix evolves according to a nonunitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker’s map and Harper’s map are the two examples we consider). A nonunitary step where the evolution operator for the density matrix mimics the effect of diffusion in the semiclassical (large [formula presented] limit. The process of decoherence and the transition from quantum to classical behavior are analyzed in detail by means of numerical and analytic tools. The existence of a regime where the entropy grows with a rate that is independent of the strength of the diffusion coefficient is demonstrated. The nature of the processes that determine the production of entropy is analyzed. © 2002 The American Physical Society.

Registro:

Documento: Artículo
Título:Decoherence for classically chaotic quantum maps
Autor:Bianucci, P.; Paz, J.P.; Saraceno, M.
Filiación:Departamento de Física “J.J. Giambiagi,” FCEN, UBA, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Unidad de Actividad Física, CNEA, Tandar, Buenos Aires, Argentina
Año:2002
Volumen:65
Número:4
Página de inicio:12
DOI: http://dx.doi.org/10.1103/PhysRevE.65.046226
Título revista:Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Título revista abreviado:Phys Rev E.
ISSN:1063651X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v65_n4_p12_Bianucci

Referencias:

  • Zurek, W.H., Phys. Today, 44, p. 36
  • See J. P. Paz and W. H. Zurek, in Coherent Matter Waves, Les Houches Session LXXII, 2001, edited by R Kaiser, C Westbrook, and F David (EDP Sciences, Springer-Verlag, Berlin, 2001), p. 533–614, and references therein; Zurek, W.H., Paz, J.P., (1994) Phys. Rev. Lett., 72, p. 2508
  • Zurek, W.H., Paz, J.P., (1995), 75, p. 351; Zurek, W.H., Paz, J.P., (1995) Physica D, 83, p. 300
  • Pattanayak, A.K., (1999) Phys. Rev. Lett., 83, p. 4526
  • Monteoliva, D., Paz, J.P., (2000) Phys. Rev. Lett., 85, p. 3373
  • Monteoliva and, D., Paz, J.P., Phys. Rev. E (to be published);; Monteoliva and, D., Paz, J.P., quant-ph/0105090; Zurek, W.H., (1998) Phys. Scr., T, T76, p. 186
  • Shiokawa, K., Hu, B.L., (1995) Phys. Rev. E, 52, p. 2497
  • Miller, P.A., Sarkar, S., (1998) Phys. Rev. E, 58, p. 4217
  • Miller, P.A., Sarkar, S., (1999), 60, p. 1542; Nag, S., Lahiri, A., Ghosh, G., quant-ph/0108099; Schwinger, J., (1960) Proc. Natl. Acad. Sci. U.S.A., 46, p. 570
  • V. I. Arnold and A. Avez, Ergodic Problems in Classical Mechanics (Benjamin, New York, 1968); Balasz, N.L., Voros, A., (1990) Ann. Phys. (N.Y.), 190, p. 1
  • Saraceno, M., (1990) Ann. Phys. (N.Y.), 199, p. 37
  • Voros, A., Saraceno, M., (1994) Physica D, 79, p. 206
  • Schack, R., (1998) Phys. Rev. A, 57, p. 1634
  • Schack, R., Brun, T., (1999), 59, p. 2649; R. Schack and C. M. Caves, Appl. Algebr. Eng. Comm. 10, 305 (2000);; Soklakov, A.N., Schack, R., (2000) Phys. Rev. E, 61, p. 5108
  • I. Chuang and M. Nielsen, Quantum Information and Computation (Cambridge University Press, Cambridge, UK, 2001); F. Haake, Quantum Signatures of Chaos, edited by H. Haken, Springer Series in Synergetics, Vol. 54 (Springer, Berlin, 1991); Leboeuf, P., Kurchan, J., Feingold, M., Arovas, D., (1990) Phys. Rev. Lett., 65, p. 3076
  • Georgeot, B., Shepelyansky, D.L., (2001) Phys. Rev. Lett., 86, p. 2890
  • Georgeot, B., Shepelyansky, D.L., (2001), 86, p. 5393; J. Preskill, Lecture Notes on Quantum Information and Computation, available at www.theory.caltech.edu/people/preskill/ph229; Schumacher, B., (1996) Phys. Rev. A, 54, p. 2614
  • Grabert, H., Shramm, P., Ingold, G.L., (1998) Phys. Rep., 168, p. 115
  • Caldeira, A.O., Leggett, A.J., (1983) Physica A, 121, p. 587
  • Caldeira, A.O., Leggett, A.J., (1985) Phys. Rev. A, 31, p. 1059
  • Unruh, W.G., Zurek, W.H., (1989) Phys. Rev. D, 40, p. 1071
  • Haake, F., Reibold, R., (1985) Phys. Rev. A, 32, p. 2462
  • Hu, B.L., Paz, J.P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843
  • Hu, B.L., Paz, J.P., Zhang, Y., (1993), 47, p. 1576; Wooters, W.K., (1987) Ann. Phys. (N.Y.), 176, p. 1
  • Rivas, A., Ozorio de Almeida, A.M., (1999), 276, p. 223; Bouzouina, A., De Bievre, S., (1996) Commun. Math. Phys., 178, p. 83
  • Bianucci, P., Miquel, C., Paz, J.P., Saraceno, M., quant-ph/0105090, C. Miquel, J. P. Paz, and M. Saraceno, Phys. Rev. A (to be published); Berman, G.P., Zaslavsky, G.M., (1978) Physica (Amsterdam), A91, p. 450
  • Habib, S., Shizume, K., Zurek, W.H., (1998) Phys. Rev. Lett., 80, p. 4361
  • Inoue, K., Ohya, M., Volovich, I.V., quant-ph/0108107; Soklakov, A.N., Schack, R., quant-ph/0107071; Pastawski, H., Levstein, P., Usaj, G., Raya, J., Hirschinger, (2000) Physica A, 283, p. 166
  • Pastawski, H., Usaj, G., Levstein, P., (1996) Chem. Phys. Lett., 261, p. 329
  • Jalabert, R., Pastawski, H., (2001) Phys. Rev. Lett., 86, p. 2490
  • Jacquod, P., Silvestrov, P.G., Beenakker, C.W.J., nlin.CD/0107044

Citas:

---------- APA ----------
Bianucci, P., Paz, J.P. & Saraceno, M. (2002) . Decoherence for classically chaotic quantum maps. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 65(4), 12.
http://dx.doi.org/10.1103/PhysRevE.65.046226
---------- CHICAGO ----------
Bianucci, P., Paz, J.P., Saraceno, M. "Decoherence for classically chaotic quantum maps" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 65, no. 4 (2002) : 12.
http://dx.doi.org/10.1103/PhysRevE.65.046226
---------- MLA ----------
Bianucci, P., Paz, J.P., Saraceno, M. "Decoherence for classically chaotic quantum maps" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 65, no. 4, 2002, pp. 12.
http://dx.doi.org/10.1103/PhysRevE.65.046226
---------- VANCOUVER ----------
Bianucci, P., Paz, J.P., Saraceno, M. Decoherence for classically chaotic quantum maps. Phys Rev E. 2002;65(4):12.
http://dx.doi.org/10.1103/PhysRevE.65.046226