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Wisniacki, D.A.; Schlagheck, P. "Quantum manifestations of classical nonlinear resonances" (2015) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 92(6)
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Abstract:

When an integrable classical system is perturbed, nonlinear resonances are born, grow, and eventually disappear due to chaos. In this paper the quantum manifestations of such a transition are studied in the standard map. We show that nonlinear resonances act as a perturbation that break eigenphase degeneracies for unperturbed states with quantum numbers that differ in a multiple of the order of the resonance. We show that the eigenphase splittings are well described by a semiclassical expression based on an integrable approximation of the Hamiltonian in the vicinity of the resonance. The morphology in phase space of these states is also studied. We show that the nonlinear resonance imprints a systematic influence in their localization properties. © 2015 American Physical Society.

Registro:

Documento: Artículo
Título:Quantum manifestations of classical nonlinear resonances
Autor:Wisniacki, D.A.; Schlagheck, P.
Filiación:Departamento de Física, IFIBA, FCEyN, UBA Ciudad Universitaria, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Departement de Physique, University of Liege, Liège, 4000, Belgium
Palabras clave:Phase space methods; Resonance; Classical systems; In-phase; Localization properties; Nonlinear resonance; Quantum numbers; Splittings; Standard map; Quantum theory
Año:2015
Volumen:92
Número:6
DOI: http://dx.doi.org/10.1103/PhysRevE.92.062923
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_v92_n6_p_Wisniacki

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Citas:

---------- APA ----------
Wisniacki, D.A. & Schlagheck, P. (2015) . Quantum manifestations of classical nonlinear resonances. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92(6).
http://dx.doi.org/10.1103/PhysRevE.92.062923
---------- CHICAGO ----------
Wisniacki, D.A., Schlagheck, P. "Quantum manifestations of classical nonlinear resonances" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 92, no. 6 (2015).
http://dx.doi.org/10.1103/PhysRevE.92.062923
---------- MLA ----------
Wisniacki, D.A., Schlagheck, P. "Quantum manifestations of classical nonlinear resonances" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 92, no. 6, 2015.
http://dx.doi.org/10.1103/PhysRevE.92.062923
---------- VANCOUVER ----------
Wisniacki, D.A., Schlagheck, P. Quantum manifestations of classical nonlinear resonances. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2015;92(6).
http://dx.doi.org/10.1103/PhysRevE.92.062923