Navegar

Colección

Datos Estadísticas

Artículo

Carlo, G.G.; Wisniacki, D.A.; Ermann, L.; Benito, R.M.; Borondo, F. "Classical transients and the support of open quantum maps" (2013) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 87(1)
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:

The basic ingredients in a semiclassical theory are the classical invariant objects serving as a support for quantization. Recent studies, mainly obtained on quantum maps, have led to the commonly accepted belief that the classical repeller - the set of nonescaping orbits in the future and past evolution - is the object that suitably plays this role in open scattering systems. In this paper we present numerical evidence warning that this may not always be the case. For this purpose we study recently introduced families of tribaker maps, which share the same asymptotic properties but differ in their short-time behavior. We have found that although the eigenvalue distribution of the evolution operator of these maps follows the fractal Weyl law prediction, the theory of short periodic orbits for open maps fails to describe the resonance eigenfunctions of some of them. This is a strong indication that new elements must be included in the semiclassical description of open quantum systems. We provide an interpretation of the results in order to have hints about them. © 2013 American Physical Society.

Registro:

Documento: Artículo
Título:Classical transients and the support of open quantum maps
Autor:Carlo, G.G.; Wisniacki, D.A.; Ermann, L.; Benito, R.M.; Borondo, F.
Filiación:Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, 1429 Buenos Aires, Argentina
Departamento de Física and IFIBA, FCEyN, UBA Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina
Grupo de Sistemas Complejos and Departamento de Física, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Departamento de Química, Instituto de Ciencias Matemáticas (ICMAT), Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
Palabras clave:Asymptotic properties; Eigenvalue distributions; Evolution operator; Invariant objects; Numerical evidence; Open maps; Open quantum systems; Periodic orbits; Quantum maps; Scattering systems; Semiclassical theories; Quantum electronics; Quantum optics; Eigenvalues and eigenfunctions; article; chemical model; computer simulation; quantum theory; statistical model; Computer Simulation; Models, Chemical; Models, Statistical; Quantum Theory
Año:2013
Volumen:87
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevE.87.012909
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_v87_n1_p_Carlo

Referencias:

  • Weiss, U., (2008) Quantum Dissipative Systems, , in World Scientific, Singapore
  • Nonnenmacher, S., (2011) Nonlinearity, 24, p. 123. , 0951-7715 10.1088/0951-7715/24/12/R02
  • Lu, W.T., Sridhar, S., Zworski, M., (2003) Phys. Rev. Lett., 91, p. 154101. , PRLTAO 0031-9007 10.1103/PhysRevLett.91.154101
  • Sj Ostrand, J., (1990) Duke Math. J., 60, p. 1. , DUMJAO 0012-7094 10.1215/S0012-7094-90-06001-6
  • Sjöstrand, J., Zworski, M., (2007) Duke Math. J., 137, p. 381. , DUMJAO 0012-7094 10.1215/S0012-7094-07-13731-1
  • Ramilowski, J.A., Prado, S.D., Borondo, F., Farrelly, D., (2009) Phys. Rev. e, 80, p. 055201. , PLEEE8 1539-3755 10.1103/PhysRevE.80.055201
  • Eberspächer, A., Main, J., Wunner, G., (2010) Phys. Rev. e, 82, p. 046201. , PLEEE8 1539-3755 10.1103/PhysRevE.82.046201
  • Schomerus, H., Tworzydlo, J., (2004) Phys. Rev. Lett., 93, p. 154102. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.154102
  • Nonnenmacher, S., Rubin, M., (2007) Nonlinearity, 20, p. 1387. , NONLE5 0951-7715 10.1088/0951-7715/20/6/004
  • Shepelyansky, D.L., (2008) Phys. Rev. e, 77, p. 015202. , PLEEE8 1539-3755 10.1103/PhysRevE.77.015202
  • Novaes, M., Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Keating, J.P., (2009) Phys. Rev. e, 80, p. 035202. , PLEEE8 1539-3755 10.1103/PhysRevE.80.035202
  • Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Novaes, M., (2012) Phys. Rev. e, 85, p. 036203. , PLEEE8 1539-3755 10.1103/PhysRevE.85.036203
  • Ermann, L., Carlo, G.G., Pedrosa, J.M., Saraceno, M., (2012) Phys. Rev. e, 85, p. 066204. , PLEEE8 1539-3755 10.1103/PhysRevE.85.066204
  • Balazs, N.L., Voros, A., (1989) Ann. Phys., 190, p. 1. , APNYA6 0003-4916 10.1016/0003-4916(89)90259-5
  • Saraceno, M., (1990) Ann. Phys., 199, p. 37. , APNYA6 0003-4916 10.1016/0003-4916(90)90367-W
  • Ermann, L., Saraceno, M., Generalized quantum baker maps as perturbations of a simple kernel (2006) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74 (4), p. 046205. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevE.74.046205&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevE.74.046205
  • Gaspard, P., (1998) Chaos, Scattering and Statistical Mechanics, , in Cambridge University Press, Cambridge
  • Casati, G., Maspero, G., Shepelyansky, D.L., (1999) Physica D, 131, p. 311. , PDNPDT 0167-2789 10.1016/S0167-2789(98)00265-6
  • Keating, J.P., Novaes, M., Prado, S.D., Sieber, M., Semiclassical structure of chaotic resonance eigenfunctions (2006) Physical Review Letters, 97 (15), p. 150406. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.97.150406&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.97.150406
  • Nonnenmacher, S., Zworski, M., Fractal Weyl laws in discrete models of chaotic scattering (2005) Journal of Physics A: Mathematical and General, 38 (49), pp. 10683-10702. , DOI 10.1088/0305-4470/38/49/014, PII S0305447005022134
  • Wiersig, J., Formation of long-lived, scarlike modes near avoided resonance crossings in optical microcavities (2006) Physical Review Letters, 97 (25), p. 253901. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.97.253901&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.97.253901
  • Wisniacki, D.A., Carlo, G.G., (2008) Phys. Rev. e, 77, p. 045201. , PLEEE8 1539-3755 10.1103/PhysRevE.77.045201
  • Fang, W., Yamilov, A., Cao, H., Analysis of high-quality modes in open chaotic microcavities (2005) Physical Review A - Atomic, Molecular, and Optical Physics, 72 (2), pp. 1-7. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRA:72, DOI 10.1103/PhysRevA.72.023815, 023815
  • Nockel, J.U., Stone, A.D., Ray and wave chaos in asymmetric resonant optical cavities (1997) Nature, 385 (6611), pp. 45-47. , DOI 10.1038/385045a0
  • Harayama, T., Davis, P., Ikeda, K.S., (2003) Phys. Rev. Lett., 90, p. 063901. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.063901
  • Wiersig, J., Hentschel, M., Unidirectional light emission from high- Q modes in optical microcavities (2006) Physical Review A - Atomic, Molecular, and Optical Physics, 73 (3), pp. 1-4. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.73.031802&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.73.031802, 031802
  • Wiersig, J., Hentschel, M., Combining directional light output and ultralow loss in deformed microdisks (2008) Physical Review Letters, 100 (3), p. 033901. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.100.033901&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.100.033901
  • Vergini, E.G., (2000) J. Phys. A: Math. Gen., 33, p. 4709. , 1361-6447 10.1088/0305-4470/33/25/311
  • Vergini, E.G., Carlo, G.G., (2000) J. Phys. A: Math. Gen., 33, p. 4717. , 1361-6447 10.1088/0305-4470/33/25/312
  • Vergini, E.G., Schneider, D., Rivas, A.F., (2008) J. Phys. A: Math. Theor., 41, p. 405102. , 1751-8113 10.1088/1751-8113/41/40/405102
  • Ermann, L., Saraceno, M., (2008) Phys. Rev. e, 78, p. 036221. , PLEEE8 1539-3755 10.1103/PhysRevE.78.036221
  • Ermann, L., Carlo, G.G., Saraceno, M., (2009) Phys. Rev. Lett., 103, p. 054102. , PRLTAO 0031-9007 10.1103/PhysRevLett.103.054102

Citas:

---------- APA ----------
Carlo, G.G., Wisniacki, D.A., Ermann, L., Benito, R.M. & Borondo, F. (2013) . Classical transients and the support of open quantum maps. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 87(1).
http://dx.doi.org/10.1103/PhysRevE.87.012909
---------- CHICAGO ----------
Carlo, G.G., Wisniacki, D.A., Ermann, L., Benito, R.M., Borondo, F. "Classical transients and the support of open quantum maps" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 87, no. 1 (2013).
http://dx.doi.org/10.1103/PhysRevE.87.012909
---------- MLA ----------
Carlo, G.G., Wisniacki, D.A., Ermann, L., Benito, R.M., Borondo, F. "Classical transients and the support of open quantum maps" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 87, no. 1, 2013.
http://dx.doi.org/10.1103/PhysRevE.87.012909
---------- VANCOUVER ----------
Carlo, G.G., Wisniacki, D.A., Ermann, L., Benito, R.M., Borondo, F. Classical transients and the support of open quantum maps. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2013;87(1).
http://dx.doi.org/10.1103/PhysRevE.87.012909