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General approach for dealing with dynamical systems with spatiotemporal periodicities

Opened Access General approach for dealing with dynamical systems with spatiotemporal periodicities

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Autor: Casado Pascual, Jesús
Cuesta, José A.
Quintero, Niurka R.
Álvarez Nodarse, Renato
Departamento: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Universidad de Sevilla. Departamento de Física Aplicada I
Universidad de Sevilla. Departamento de Análisis Matemático
Fecha: 2015
Publicado en: Physical Review E, 91(2), 022905: 1-4
Tipo de documento: Artículo
Resumen: Dynamical systems often contain oscillatory forces or depend on periodic potentials. Time or space periodicity is reflected in the properties of these systems through a dependence on the parameters of their periodic terms. In this paper we provide a general theoretical framework for dealing with these kinds of systems, regardless of whether they are classical or quantum, stochastic or deterministic, dissipative or nondissipative, linear or nonlinear, etc. In particular, we are able to show that simple symmetry considerations determine, to a large extent, how their properties depend functionally on some of the parameters of the periodic terms. For the sake of illustration, we apply this formalism to find the functional dependence of the expectation value of the momentum of a Bose-Einstein condensate, described by the Gross-Pitaewskii equation, when it is exposed to a sawtooth potential whose amplitude is periodically modulated in time. We show that, by using this formalism, a small set...
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Tamaño: 186.6Kb
Formato: PDF

URI: http://hdl.handle.net/11441/28043

DOI: 10.1103/PhysRevE.91.022905

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