Abstract:
We study relevant features of the spectrum of the quantum open baker map. The opening consists of a cut along the momentum p direction of the 2-torus phase space, modeling an open chaotic cavity. We study briefly the classical forward trapped set and analyze the corresponding quantum nonunitary evolution operator. The distribution of eigenvalues depends strongly on the location of the escape region with respect to the central discontinuity of this map. This introduces new ingredients to the association among the classical escape and quantum decay rates. Finally, we could verify that the validity of the fractal Weyl law holds in all cases. © 2009 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Distribution of resonances in the quantum open baker map |
Autor: | Pedrosa, J.M.; Carlo, G.G.; Wisniacki, D.A.; Ermann, L. |
Filiación: | Departamento de Física, CNEA, Av. Libertador 8250, C1429BNP Buenos Aires, Argentina Departamento de Física, FCEyN, Pabellón 1 Ciudad Universitaria, C1428EGA Buenos Aires, Argentina
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Palabras clave: | Phase space methods; Chaotic cavities; Eigen values; Evolution operators; Phase spaces; Quantum decays; Decay (organic) |
Año: | 2009
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Volumen: | 79
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Número: | 1
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.79.016215 |
Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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Título revista abreviado: | Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
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ISSN: | 15393755
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CODEN: | PLEEE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n1_p_Pedrosa |
Referencias:
- Zurek, W.H., Paz, J.P., (1994) Phys. Rev. Lett., 72, p. 2508. , 10.1103/PhysRevLett.72.2508
- Braun, D., (2001) Dissipative Quantum Chaos and Decoherence, , Springer-Verlag, New York
- Akis, R., Ferry, D.K., Bird, J.P., (1997) Phys. Rev. Lett., 79, p. 123. , 10.1103/PhysRevLett.79.123
- Fang, W., Yamilov, A., Cao, H., (2005) Phys. Rev. A, 72, p. 023815. , 10.1103/PhysRevA.72.023815
- Harayama, T., Davis, P., Ikeda, K.S., (2003) Phys. Rev. Lett., 90, p. 063901. , 10.1103/PhysRevLett.90.063901
- Wiersig, J., (2006) Phys. Rev. Lett., 97, p. 253901. , 10.1103/PhysRevLett.97.253901
- Nockel, J.U., Stone, D.A., (1997) Nature (London), 385, p. 45. , 10.1038/385045a0
- Wiersig, J., Hentschel, M., (2006) Phys. Rev. A, 73, p. 031802. , 10.1103/PhysRevA.73.031802
- Wiersig, J., Hentschel, M., (2008) Phys. Rev. Lett., 100, p. 033901. , 10.1103/PhysRevLett.100.033901
- Gaspard, P., (1998) Chaos, Scattering and Statistical Mechanics, , Cambridge University Press, Cambridge
- Jung, C., Seligman, T.H., (1997) Phys. Rep., 285, p. 77. , 10.1016/S0370-1573(96)00038-5
- Lu, W.T., Sridhar, S., Zworski, M., (2003) Phys. Rev. Lett., 91, p. 154101. , 10.1103/PhysRevLett.91.154101
- Shepelyansky, D.L., (2008) Phys. Rev. e, 77, p. 015202. , 10.1103/PhysRevE.77.015202
- Schomerus, H., Tworzydlo, J., (2004) Phys. Rev. Lett., 93, p. 154102. , 10.1103/PhysRevLett.93.154102
- Nonnenmacher, S., Rubin, M., (2007) Nonlinearity, 20, p. 1387. , 10.1088/0951-7715/20/6/004
- Nonnenmacher, S., Zworski, M., (2005) J. Phys. A, 38, p. 10683. , 10.1088/0305-4470/38/49/014
- Keating, J.P., Novaes, M., Prado, S.D., Sieber, M., (2006) Phys. Rev. Lett., 97, p. 150406. , 10.1103/PhysRevLett.97.150406
- Wisniacki, D., Carlo, G.G., (2008) Phys. Rev. e, 77, p. 045201. , 10.1103/PhysRevE.77.045201
- Zyczkowski, K., Sommers, H.-J., (2000) J. Phys. A, 33, p. 2045. , 10.1088/0305-4470/33/10/307
- Saraceno, M., (1990) Ann. Phys., 199, p. 37. , 10.1016/0003-4916(90)90367-W
- Saraceno, M., Vallejos, R.O., (1996) Chaos, 6, p. 193. , 10.1063/1.166164
- Łoziński, A., Pakoński, P., Zyczkowski, K., (2002) Phys. Rev. e, 66, p. 065201. , 10.1103/PhysRevE.66.065201
- Dorfman, J.R., (1999) Introduction to Chaos in Nonequilibrium Statistical Mechanics, , Cambridge University Press, Cambridge
- Alligood, K.T., Sauer, T.D., Yorke, J.A., (1996) Chaos, An Introduction to Dynamical Systems, , Springer-Verlag, New York
- Saraceno, M., Voros, A., (1994) Physica D, 79, p. 206
- Lichtenberg, A.J., Lieberman, M.A., (1992) Regular and Chaotic Dynamics, , Springer-Verlag, New York
- Ott, E., (1993) Chaos in Dynamical Systems, , Cambridge University Press, Cambridge
- Pedrosa, J., Ermann, L., Carlo, G.G., Wisniacki, D.A.,
Citas:
---------- APA ----------
Pedrosa, J.M., Carlo, G.G., Wisniacki, D.A. & Ermann, L.
(2009)
. Distribution of resonances in the quantum open baker map. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 79(1).
http://dx.doi.org/10.1103/PhysRevE.79.016215---------- CHICAGO ----------
Pedrosa, J.M., Carlo, G.G., Wisniacki, D.A., Ermann, L.
"Distribution of resonances in the quantum open baker map"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 79, no. 1
(2009).
http://dx.doi.org/10.1103/PhysRevE.79.016215---------- MLA ----------
Pedrosa, J.M., Carlo, G.G., Wisniacki, D.A., Ermann, L.
"Distribution of resonances in the quantum open baker map"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 79, no. 1, 2009.
http://dx.doi.org/10.1103/PhysRevE.79.016215---------- VANCOUVER ----------
Pedrosa, J.M., Carlo, G.G., Wisniacki, D.A., Ermann, L. Distribution of resonances in the quantum open baker map. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;79(1).
http://dx.doi.org/10.1103/PhysRevE.79.016215