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
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| 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
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| Año: | 2002
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| Volumen: | 65
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| Número: | 4
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| Página de inicio: | 12
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| DOI: |
http://dx.doi.org/10.1103/PhysRevE.65.046226 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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| Título revista abreviado: | Phys Rev E.
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| ISSN: | 1063651X
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| 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
