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Novaes, M.; Pedrosa, J.M.; Wisniacki, D.; Carlo, G.G.; Keating, J.P. "Quantum chaotic resonances from short periodic orbits" (2009) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 80(3)
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Abstract:

We present an approach to calculating the quantum resonances and resonance wave functions of chaotic scattering systems, based on the construction of states localized on classical periodic orbits and adapted to the dynamics. Typically only a few such states are necessary for constructing a resonance. Using only short orbits (with periods up to the Ehrenfest time), we obtain approximations to the longest-living states, avoiding computation of the background of short living states. This makes our approach considerably more efficient than previous ones. The number of long-lived states produced within our formulation is in agreement with the fractal Weyl law conjectured recently in this setting. We confirm the accuracy of the approximations using the open quantum baker map as an example. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Quantum chaotic resonances from short periodic orbits
Autor:Novaes, M.; Pedrosa, J.M.; Wisniacki, D.; Carlo, G.G.; Keating, J.P.
Filiación:School of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom
Departamento de Física, Universidade Federal de São Carlos, 13565-905 São Carlos, SP, Brazil
Departamento de Física, CNEA, Av. Libertador 8250, Buenos Aires C1429BNP, Argentina
Departamento de Física, FCEyN, Ciudad Universitaria, Buenos Aires C1428EGA, Argentina
Palabras clave:Chaotic resonance; Chaotic scattering; Ehrenfest; Periodic orbits; Quantum baker map; Quantum resonances; Chaotic systems; Orbits; Wave functions; Resonance
Año:2009
Volumen:80
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevE.80.035202
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_v80_n3_p_Novaes

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Citas:

---------- APA ----------
Novaes, M., Pedrosa, J.M., Wisniacki, D., Carlo, G.G. & Keating, J.P. (2009) . Quantum chaotic resonances from short periodic orbits. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(3).
http://dx.doi.org/10.1103/PhysRevE.80.035202
---------- CHICAGO ----------
Novaes, M., Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Keating, J.P. "Quantum chaotic resonances from short periodic orbits" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 3 (2009).
http://dx.doi.org/10.1103/PhysRevE.80.035202
---------- MLA ----------
Novaes, M., Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Keating, J.P. "Quantum chaotic resonances from short periodic orbits" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 3, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.035202
---------- VANCOUVER ----------
Novaes, M., Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Keating, J.P. Quantum chaotic resonances from short periodic orbits. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(3).
http://dx.doi.org/10.1103/PhysRevE.80.035202