Dynamics of quantum trajectories in chaotic systems
Quantum trajectories defined in the de Broglie-Bohm theory provide a causal way to interpret physical phenomena. In this letter, we use this formalism to analyze the short-time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play...
Guardado en:
| Autor principal: | |
|---|---|
| Otros Autores: | , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2003
|
| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| Sumario: | Quantum trajectories defined in the de Broglie-Bohm theory provide a causal way to interpret physical phenomena. In this letter, we use this formalism to analyze the short-time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play a very important role. We find that the topologies of the quantum orbits are much more complicated than that of the scarring and associated periodic orbits, since the former have quantum interference built in. Thus scar wave functions are necessary to analyze the corresponding dynamics. Moreover, these topologies imply different return routes to the vicinity of the initial positions, and this reflects in the existence of different contributions in each peak of the survival probability function. |
|---|---|
| Bibliografía: | Jammer, M., (1989) The Conceptual Development of Quantum Mechanics, , American Institute of Physics, Madison Von Neumann, J., (1955) Mathematical Foundations of Quantum Mechanics, , Princeton University Press, Princeton Bohm, D., (1952) Phys. Rev., 85, p. 166 Holland, P.R., (1993) The Quantum Theory of Motion, , Cambridge University Press, Cambridge De Broglie, L., (1925) Ann. Phys. (Paris), 3, p. 22 Sales Mayor, F., Askar, A., Rabitz, H.A., (1999) J. Chem. Phys., 111, p. 2423 Sanz, A.S., Borondo, F., Miret-Arté, S.S., (2000) Phys. Rev. B, 61, p. 7743 (2001) Europhys. Lett., 55, p. 303 (2002) J. Phys. Condens. Matter, 14, p. 6109 Gindensperger, E., Meier, C., Beswick, J.A., (2002) J. Chem. Phys., 116, p. 8 Gin-Densperger, E., Meier, C., Beswick, J.A., Heitz, M.-C., (2002) J. Chem. Phys., 116, p. 10051 Guantes, R., Margalef-Roig, R., Sanz, A.S., Borondo, F., Miret-Artés, S., Surf. Sci. Rep. Wyatt, R.E., (2001) Phys. Rev. Lett., 86, p. 3215 Prezhdo, O.V., Brooksby, C., (2001) Phys. Rev. Lett., 86, p. 32151 Gutzwiller, M.C., (1990) Chaos in Classical and Quantum Mechanics, , Springer-Verlag, New York Haake, F., (2001) Quantum Signatures of Chaos, , Springer-Verlag, Berlin Parmenter, R.H., Valentine, R.W., (1995) Phys. Lett. A, 201, p. 1 Konkel, S., Malowski, A.J., (1998) Phys. Lett. A, 238, p. 95 Heller, E.J., (1984) Phys. Rev. Lett., 53, p. 1515 Heller, E.J., (1991) Chaos and Quantum Physics, , edited by GIANNONI M. J., VOROS A. and ZINN-JUSTIN J. (Elsevier, Amsterdam) Madelung, E., (1926) Z. Phys., 40, p. 332 Wisniacki, D.A., Borondo, F., Vergini, E., Benito, R.M., (2000) Phys. Rev. E, 62, pp. R7583 De Polavieja, G.G., Borondo, F., Benito, R.M., (1994) Phys. Rev. Lett., 73, p. 1613 Hernando, L., Wisniacki, D., Borondo, F., Benito, R.M., in preparation; Muga, J.G., Sala, R., Egusquiza, I.L., (2002) Time in Quantum Mechanics, , Springer-Verlag, Berlin Wisniacki, D.A., Borondo, F., Vergini, E., Benito, R.M., (2001) Phys. Rev. E, 63, p. 066220 Vergini, E.G., Carlo, G.G., (2001) J. Phys. A, 34, p. 4525 |
| ISSN: | 02955075 |
| DOI: | 10.1209/epl/i2003-00231-y |