Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a "quantum walker," i.e., a quantum particle that can move on a lattice with a finite number of sites. The walker interacts with an environment which has a D -dimensional Hilbert space. The results we obtain suggest that regular and chaotic environments are not distinguishable from each other in a (short) time scale t*, which scales with the dimensionality of the environment as t* log2 (D). However, chaotic environments continue to be effective over exponentially longer time scales while regular environments tend to reach saturation much sooner. We present both numerical and analytical results supporting this conclusion. The family of chaotic evolutions we consider includes the so-called quantum multibaker map as a particular case. © 2006 The American Physical Society.

Registro:

Documento: Artículo
Título:Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
Autor:Ermann, L.; Paz, J.P.; Saraceno, M.
Filiación:Departamento de Física, Comisión Nacional de Energía Atómica, Ave. del Libertador 8250 (C1429BNP), Buenos Aires, Argentina
Departamento de Física, FCEyN, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Theoretical Division, LANL, MSB213, Los Alamos, NM 87545, United States
Escuela de Ciencia y Tecnología, Universidad Nacional de San Martín, Villa Ballester, Alem 3901 (B1653HIM), Argentina
Palabras clave:Chaos theory; Coherent light; Mathematical models; Decoherence; Quantum walker; Quantum theory
Año:2006
Volumen:73
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.73.012302
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Ermann

Referencias:

  • (1983) Quantum Theory and Measurement, , edited by J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, NJ
  • Paz, J.P., Zurek, W.H., (2001) Coherent Matter Waves, pp. 533-614. , Proceedings of the Les Houches Summer School of Theoretical Physics, Session LXXII, edited by R. Kaiser, C. Westbrook, and F. David (Springer-Verlag, Berlin
  • Zurek, W., (2003) Rev. Mod. Phys., 75, p. 715. , RMPHAT 0034-6861 10.1103/RevModPhys.75.715
  • Nielsen, A., Chuang, I., (2000) Quantum Computation and Quantum Information, , Cambridge University Press, Cambridge
  • Feynman, R.P., Vernon, F.L., (1963) Ann. Phys. (N.Y.), 24, p. 118. , APNYA6 0003-4916 10.1016/0003-4916(63)90068-X
  • Caldeira, A.O., Leggett, A.J., (1983) Physica A, 121, p. 587. , PHYADX 0378-4371 10.1016/0378-4371(83)90013-4
  • Caldeira, A.O., Leggett, A.J., (1985) Phys. Rev. A, 31, p. 1059. , PLRAAN 1050-2947 10.1103/PhysRevA.31.1059
  • Hu, B.L., Paz, J.P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843. , PRVDAQ 0556-2821 10.1103/PhysRevD.45.2843
  • Anglin, J.R., Paz, J.P., Zurek, W.H., (1997) Phys. Rev. A, 55, p. 4041. , PLRAAN 1050-2947 10.1103/PhysRevA.55.4041
  • Prokof'Ev, N.V., Stamp, P.C.M., (2000) Rep. Prog. Phys., 63, p. 669. , RPPHAG 0034-4885 10.1088/0034-4885/63/4/204
  • Dobrovitski, V.V., De Raedt, H.A., (2003) Phys. Rev. e, 67, p. 056702. , PLEEE8 1063-651X 10.1103/PhysRevE.67.056702
  • Cucchietti, F., Paz, J.P., Zurek, W.H., quant-ph/0508184; Blume-Kohout, R., Zurek, W.H., (2003) Phys. Rev. A, 68, p. 032104. , PLRAAN 1050-2947 10.1103/PhysRevA.68.032104
  • Lombardo, F.C., Villar, P.I., (2005) Phys. Rev. A, 72, p. 034103. , PLRAAN 1050-2947 10.1103/PhysRevA.72.034103
  • Cohen, D., Kottos, T., (2004) Phys. Rev. e, 69, p. 055201. , PLEEE8 1063-651X 10.1103/PhysRevE.69.055201
  • Kempe, J., (2003) Contemp. Phys., 44, p. 307. , CTPHAF 0010-7514 10.1080/00107151031000110776
  • Brun, T.A., Carteret, H.A., Ambainis, A., (2003) Phys. Rev. A, 67, p. 032304. , PLRAAN 1050-2947 10.1103/PhysRevA.67.032304
  • López, C.C., Paz, J.P., (2003) Phys. Rev. A, 68, p. 052305. , PLRAAN. 1050-2947. 10.1103/PhysRevA.68.052305
  • Shack, R., Caves, M.C., (2000) Appl. Algebra Eng. Commun. Comput., 10, p. 305. , AAECEW 0938-1279 10.1007/s002000050133
  • Brun, T.A., Carteret, H.A., Ambainis, A., (2003) Phys. Rev. A, 67, p. 052317. , PLRAAN 1050-2947 10.1103/PhysRevA.67.052317
  • Balazs, N.L., Voros, A., (1989) Ann. Phys. (N.Y.), 190, p. 1. , APNYA6 0003-4916 10.1016/0003-4916(89)90259-5
  • Saraceno, M., (1990) Ann. Phys. (N.Y.), 199, p. 37. , APNYA6 0003-4916 10.1016/0003-4916(90)90367-W
  • Wójcik, D.K., Dorfman, J.R., (2004) Physica D, 187, p. 223. , PDNPDT. 0167-2789. 10.1016/j.physd.2003.09.012
  • Scott, A.J., Caves, M.C., (2003) J. Phys. A, 36, p. 9553. , JPHAC5 0305-4470 10.1088/0305-4470/36/36/308
  • Ermann, L., Saraceno, M., ; Peres, A., (1994) Quantum Theory Concepts and Methods, , Kluwer, Dordrecht
  • Pastawski, H.M., Usaj, G., Levstein, P., (1996) Chem. Phys. Lett., 261, p. 329. , CHPLBC 0009-2614 10.1016/0009-2614(96)00978-5
  • Jalabert, R.A., Pastawski, H.M., (2001) Phys. Rev. Lett., 86, p. 2490. , PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490
  • Cucchietti, F.M., Dalvit, D.A.R., Paz, J.P., Zurek, W.H., (2003) Phys. Rev. Lett., 91, p. 210403. , PRLTAO 0031-9007 10.1103/PhysRevLett.91.210403
  • Scully, M., Hillery, M., Wigner, E., (1984) Phys. Rep., 106, p. 121. , PRPLCM 0370-1573 10.1016/0370-1573(84)90160-1
  • Paz, J.P., Habib, S., Zurek, W.H., (1993) Phys. Rev. D, 47, p. 488. , PRVDAQ 0556-2821 10.1103/PhysRevD.47.488
  • Miquel, C., Paz, J.P., Saraceno, M., (2002) Phys. Rev. A, 65, p. 062309. , PLRAAN 1050-2947 10.1103/PhysRevA.65.062309
  • Bach, E., Coppersmith, S., Goldschen, M.P., Joynt, R., Watrous, J., quant-ph/0207008

Citas:

---------- APA ----------
Ermann, L., Paz, J.P. & Saraceno, M. (2006) . Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin. Physical Review A - Atomic, Molecular, and Optical Physics, 73(1).
http://dx.doi.org/10.1103/PhysRevA.73.012302
---------- CHICAGO ----------
Ermann, L., Paz, J.P., Saraceno, M. "Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin" . Physical Review A - Atomic, Molecular, and Optical Physics 73, no. 1 (2006).
http://dx.doi.org/10.1103/PhysRevA.73.012302
---------- MLA ----------
Ermann, L., Paz, J.P., Saraceno, M. "Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 73, no. 1, 2006.
http://dx.doi.org/10.1103/PhysRevA.73.012302
---------- VANCOUVER ----------
Ermann, L., Paz, J.P., Saraceno, M. Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin. Phys Rev A. 2006;73(1).
http://dx.doi.org/10.1103/PhysRevA.73.012302