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Abstract:

We use a Magnus approximation at the level of the equations of motion for a harmonic system with a time-dependent frequency, to find an expansion for its in–out effective action, and a unitary expansion for the Bogoliubov transformation between in and out states. The dissipative effects derived therefrom are compared with the ones obtained from perturbation theory in powers of the time-dependent piece in the frequency, and with those derived using multiple scale analysis in systems with parametric resonance. We also apply the Magnus expansion to the in–in effective action, to construct reality and causal equations of motion for the external system. We show that the nonlocal equations of motion can be written in terms of a “retarded Fourier transform” evaluated at the resonant frequency. © 2018 Elsevier Inc.

Registro:

Documento: Artículo
Título:A Magnus approximation approach to harmonic systems with time-dependent frequencies
Autor:Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D.
Filiación:Instituto Balseiro and Centro Atómico Bariloche, Bariloche, R8402AGP, Argentina
Departamento de Física Juan José Giambiagi, FCEyN UBA and IFIBA CONICET-UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave:Bogoliubov transformation; Effective action; Magnus approximation
Año:2018
Volumen:399
Página de inicio:258
Página de fin:269
DOI: http://dx.doi.org/10.1016/j.aop.2018.10.016
Título revista:Annals of Physics
Título revista abreviado:Ann. Phys.
ISSN:00034916
CODEN:APNYA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00034916_v399_n_p258_Fosco

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Citas:

---------- APA ----------
Fosco, C.D., Lombardo, F.C. & Mazzitelli, F.D. (2018) . A Magnus approximation approach to harmonic systems with time-dependent frequencies. Annals of Physics, 399, 258-269.
http://dx.doi.org/10.1016/j.aop.2018.10.016
---------- CHICAGO ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "A Magnus approximation approach to harmonic systems with time-dependent frequencies" . Annals of Physics 399 (2018) : 258-269.
http://dx.doi.org/10.1016/j.aop.2018.10.016
---------- MLA ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "A Magnus approximation approach to harmonic systems with time-dependent frequencies" . Annals of Physics, vol. 399, 2018, pp. 258-269.
http://dx.doi.org/10.1016/j.aop.2018.10.016
---------- VANCOUVER ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. A Magnus approximation approach to harmonic systems with time-dependent frequencies. Ann. Phys. 2018;399:258-269.
http://dx.doi.org/10.1016/j.aop.2018.10.016