Artículo

Wisniacki, D.A.; Borondo, F.; Benito, R.M. "Irreversibility with quantum trajectories" (2005) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 72(4)
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:

Irreversibility is an important issue for many quantum processes. Loschmidt echoes, originally introduced as a way to gauge sensitivity to perturbations in quantum mechanics, have turned out to be a useful tool for its investigation. Following the philosophy supporting this idea, and using quantum trajectories as defined in the causal interpretation of quantum mechanics due to Bohm, we introduce in this paper a more informative alternative measure for irreversibility. The method is applied to the Bunimovich stadium billiard, a paradigmatic example of chaotic system, that constitutes an excellent model for mesoscopic devices. © 2005 The American Physical Society.

Registro:

Documento: Artículo
Título:Irreversibility with quantum trajectories
Autor:Wisniacki, D.A.; Borondo, F.; Benito, R.M.
Filiación:Departamento de Química C-IX, Universidad Autónoma de Madrid, Cantoblanco, 28049-Madrid, Spain
Departamento de Física J. J. Giambiagi, FCEN, UBA, 1428 Buenos Aires, Argentina
Departamento de Física, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, 28040, Madrid, Spain
Palabras clave:Bunimovich stadium billiard; Irreversibility; Loschmidt echoes; Mesoscopic devices; Mathematical models; Perturbation techniques; Sensitivity analysis; Quantum theory
Año:2005
Volumen:72
Número:4
DOI: http://dx.doi.org/10.1103/PhysRevE.72.046219
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_v72_n4_p_Wisniacki

Referencias:

  • Lichtenberg, A.J., Lieberman, M.A., (1992) Regular and Chaotic Dynamics, , Springer-Verlag, New York
  • Richter, K., (2000) Semiclassical Theory of Mesoscopic Quantum Systems, , Springer-Verlag, Berlin
  • Jalabert, R.A., (2000) New Directions in Quantum Chaos, , edited by G. Casati, I. Guarneri, and U. Smylanski (IOS Press, Amsterdam
  • Fromhold, T.M., Wilkinson, P.B., Sheard, F.W., Eaves, L., Miao, J., Edwards, G., (1995) Phys. Rev. Lett., 75, p. 1142. , PRLTAO 0031-9007 10.1103/PhysRevLett.75.1142
  • Wilkinson, P.B., Fromhold, T.M., Eaves, L., Sheard, F.W., Miura, N., Takamasu, T., (1996) Nature (London), 380, p. 608. , NATUAS 0028-0836 10.1038/380608a0
  • Takagaki, Y., Ploog, K.H., (2000) Phys. Rev. e, 62, p. 4804. , PLEEE8 1063-651X 10.1103/PhysRevE.62.4804
  • Stöckmann, H.-J., (1999) Quantum Chaos: An Introduction, , Cambridge University Press, Cambridge
  • Haake, F., (2001) Quantum Signatures of Chaos, , Springer-Verlag, Berlin
  • Brack, M., Bhaduri, R.K., (1997) Semiclassical Physics, , Perseus Books, Reading, MA
  • Marcus, C.M., Rimberg, A.J., Westervelt, R.M., Hopkins, P.F., Gossard, A.C., (1992) Phys. Rev. Lett., 69, p. 506. , PRLTAO 0031-9007 10.1103/PhysRevLett.69.506
  • Simons, B.D., Altshuler, B.L., (1993) Phys. Rev. Lett., 70, p. 4063. , PRLTAO 0031-9007 10.1103/PhysRevLett.70.4063
  • Heller, E.J., Crommie, M.F., Lutz, C.P., Eigler, D.M., (1994) Nature (London), 369, p. 464. , NATUAS 0028-0836 10.1038/369464a0
  • Peres, A., (1984) Phys. Rev. A, 30, p. 1610. , PLRAAN 1050-2947 10.1103/PhysRevA.30.1610
  • 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
  • Jalabert, R.A., Pastawski, H.M., (2001) Phys. Rev. Lett., 86, p. 2490. , PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490
  • Jacquod, Ph., Silvestrov, P.G., Beenakker, C.W.J., (2001) Phys. Rev. e, 64, p. 055203. , PLEEE8 1063-651X 10.1103/PhysRevE.64.055203
  • Hiller, M., Kottos, T., Cohen, D., Geisel, T., (2004) Phys. Rev. Lett., 92, p. 010402. , PRLTAO 0031-9007 10.1103/PhysRevLett.92.010402
  • Nielsen, M.A., Chuang, I.L., (2000) Quantum Computation and Quantum Information, , Cambridge University Press, Cambridge
  • Bohm, D., (1952) Phys. Rev., 85, p. 166. , PHRVAO 0031-899X 10.1103/PhysRev.85.166
  • Bohm, D., (1952) Phys. Rev., 85, p. 180. , PHRVAO 0031-899X 10.1103/PhysRev.85.180
  • Holland, P.R., (1993) The Quantum Theory of Motion, , Cambridge University Press, Cambridge
  • Dey, B.K., Askar, A., Rabitz, H., (1998) J. Chem. Phys., 109, p. 8870. , JCPSA6 0021-9606 10.1063/1.477547
  • Lopreore, C.L., Wyatt, R.E., (1999) Phys. Rev. Lett., 82, p. 5190. , PRLTAO 0031-9007 10.1103/PhysRevLett.82.5190
  • Nerukh, D., Frederick, J.H., (2000) Chem. Phys. Lett., 332, p. 145. , CHPLBC 0009-2614 10.1016/S0009-2614(00)01241-0
  • Gindensperger, E., Meier, C., Beswick, J.A., (2000) J. Chem. Phys., 113, p. 9369. , JCPSA6 0021-9606 10.1063/1.1328759
  • Donoso, A., Martens, C.C., (2002) J. Chem. Phys., 115, p. 6309. , JCPSA6 0021-9606 10.1063/1.1394747
  • Wisniacki, D.A., Borondo, F., Benito, R.M., (2003) Europhys. Lett., 64, p. 441. , EULEEJ 0295-5075 10.1209/epl/i2003-00231-y
  • Garashchuk, S., Rassolov, V.A., (2003) J. Chem. Phys., 118, p. 2482. , JCPSA6 0021-9606 10.1063/1.1535421
  • Garashchuk, S., Rassolov, V.A., (2003) Chem. Phys. Lett., 376, p. 358. , CHPLBC 0009-2614 10.1016/S0009-2614(03)01008-X
  • Maddox, J.B., Bittner, E.R., (2003) J. Chem. Phys., 119, p. 6465. , JCPSA6 0021-9606 10.1063/1.1604772
  • Wisniacki, D.A., Vergini, G., Pastawski, H.M., Cucchietti, F.M., (2002) Phys. Rev. e, 65, p. 055206. , PLEEE8 1063-651X 10.1103/PhysRevE.65.055206
  • Sridhar, S., (1991) Phys. Rev. Lett., 67, p. 785. , PRLTAO 0031-9007 10.1103/PhysRevLett.67.785
  • Stein, J., Stöckmann, H.-J., (1992) Phys. Rev. Lett., 68, p. 2867. , PRLTAO. 0031-9007. 10.1103/PhysRevLett.68.2867
  • Gräf, H.-D., Harney, H.L., Lengeler, H., Lewenkopf, C.H., Rangacharyulu, C., Richter, A., Schardt, P., Weidenmüller, H.A., (1992) Phys. Rev. Lett., 69, p. 1296. , PRLTAO. 0031-9007. 10.1103/PhysRevLett.69.1296
  • Sachrajda, A.S., Ketzmerick, R., Gould, C., Feng, Y., Kelly, P.J., Delage, A., Wasilewski, Z., (1998) Phys. Rev. Lett., 80, p. 1948. , PRLTAO 0031-9007 10.1103/PhysRevLett.80.1948
  • Huckestein, B., Ketzmerick, R., Lewenkopf, C.H., (2000) Phys. Rev. Lett., 84, p. 5504. , PRLTAO 0031-9007 10.1103/PhysRevLett.84.5504
  • Dembowski, C., Dietz, B., Friedrich, T., Gräf, H.-D., Heine, A., Mejía-Monasterio, C., Miski-Oglu, M., Seligman, T.H., (2004) Phys. Rev. Lett., 93, p. 134102. , PRLTAO. 0031-9007. 10.1103/PhysRevLett.93.134102
  • Heller, E.J., (1991) Chaos and Quantum Physics, , edited by M. J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier, Amsterdam
  • Wisniacki, D., Borondo, F., Vergini, E., Benito, R.M., (2000) Phys. Rev. e, 62, p. 7583. , PLEEE8 1063-651X 10.1103/PhysRevE.62.R7583
  • Prosen, T., Znidarik, M., (2002) J. Phys. A, 35, p. 1455. , JPHAC5 0305-4470 10.1088/0305-4470/35/6/309
  • Wisniacki, D., Borondo, F., Benito, R.M.,

Citas:

---------- APA ----------
Wisniacki, D.A., Borondo, F. & Benito, R.M. (2005) . Irreversibility with quantum trajectories. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 72(4).
http://dx.doi.org/10.1103/PhysRevE.72.046219
---------- CHICAGO ----------
Wisniacki, D.A., Borondo, F., Benito, R.M. "Irreversibility with quantum trajectories" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 72, no. 4 (2005).
http://dx.doi.org/10.1103/PhysRevE.72.046219
---------- MLA ----------
Wisniacki, D.A., Borondo, F., Benito, R.M. "Irreversibility with quantum trajectories" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 72, no. 4, 2005.
http://dx.doi.org/10.1103/PhysRevE.72.046219
---------- VANCOUVER ----------
Wisniacki, D.A., Borondo, F., Benito, R.M. Irreversibility with quantum trajectories. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2005;72(4).
http://dx.doi.org/10.1103/PhysRevE.72.046219