Periodic orbit bifurcations and scattering time delay fluctuations

We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs markedly from those which describe fully chaotic (or strongly disordered) systems: their moments have a power law dependence on a semiclassical parameter, with exponents that are rational fractions. These exponents are obtained from bifurcating periodic orbits trapped in the system. They are universal in situations where sufficiently long orbits contribute. We illustrate the influence of bifurcations on the time delay numerically using an open quantum map.Comment: 9 pages, 3 figures, contribution to QMC200

Universal quantum signature of mixed dynamics in antidot lattices

We investigate phase coherent ballistic transport through antidot lattices in the generic case where the classical phase space has both regular and chaotic components. It is shown that the conductivity fluctuations have a non-Gaussian distribution, and that their moments have a power-law dependence on a semiclassical parameter, with fractional exponents. These exponents are obtained from bifurcating periodic orbits in the semiclassical approximation. They are universal in situations where sufficiently long orbits contribute.Comment: 7 page

Significance of Ghost Orbit Bifurcations in Semiclassical Spectra

Gutzwiller's trace formula for the semiclassical density of states in a chaotic system diverges near bifurcations of periodic orbits, where it must be replaced with uniform approximations. It is well known that, when applying these approximations, complex predecessors of orbits created in the bifurcation ("ghost orbits") can produce pronounced signatures in the semiclassical spectra in the vicinity of the bifurcation. It is the purpose of this paper to demonstrate that these ghost orbits themselves can undergo bifurcations, resulting in complex, nongeneric bifurcation scenarios. We do so by studying an example taken from the Diamagnetic Kepler Problem, viz. the period quadrupling of the balloon orbit. By application of normal form theory we construct an analytic description of the complete bifurcation scenario, which is then used to calculate the pertinent uniform approximation. The ghost orbit bifurcation turns out to produce signatures in the semiclassical spectrum in much the same way as a bifurcation of real orbits would.Comment: 20 pages, 6 figures, LATEX (IOP style), submitted to J. Phys.

Semiclassical Evolution of Dissipative Markovian Systems

A semiclassical approximation for an evolving density operator, driven by a "closed" hamiltonian operator and "open" markovian Lindblad operators, is obtained. The theory is based on the chord function, i.e. the Fourier transform of the Wigner function. It reduces to an exact solution of the Lindblad master equation if the hamiltonian operator is a quadratic function and the Lindblad operators are linear functions of positions and momenta. Initially, the semiclassical formulae for the case of hermitian Lindblad operators are reinterpreted in terms of a (real) double phase space, generated by an appropriate classical double Hamiltonian. An extra "open" term is added to the double Hamiltonian by the non-hermitian part of the Lindblad operators in the general case of dissipative markovian evolution. The particular case of generic hamiltonian operators, but linear dissipative Lindblad operators, is studied in more detail. A Liouville-type equivariance still holds for the corresponding classical evolution in double phase, but the centre subspace, which supports the Wigner function, is compressed, along with expansion of its conjugate subspace, which supports the chord function. Decoherence narrows the relevant region of double phase space to the neighborhood of a caustic for both the Wigner function and the chord function. This difficulty is avoided by a propagator in a mixed representation, so that a further "small-chord" approximation leads to a simple generalization of the quadratic theory for evolving Wigner functions.Comment: 33 pages - accepted to J. Phys.

A difusão do uso do gvSIG no Brasil.

bitstream/item/54447/1/2011-M.Augusta-OpenPlanet5-Magazine-7th-gvSIG-Conference.pdfEdição da 7th International gvSIG Conference, 2011, Valencia. Conquering new areas. Bilingue. Título em inglês: Spreading of gvSIG in Brazil

Resonance-assisted decay of nondispersive wave packets

We present a quantitative semiclassical theory for the decay of nondispersive electronic wave packets in driven, ionizing Rydberg systems. Statistically robust quantities are extracted combining resonance assisted tunneling with subsequent transport across chaotic phase space and a final ionization step.Comment: 4 pages, 2 figure

Quantization of multidimensional cat maps

In this work we study cat maps with many degrees of freedom. Classical cat maps are classified using the Cayley parametrization of symplectic matrices and the closely associated center and chord generating functions. Particular attention is dedicated to loxodromic behavior, which is a new feature of two-dimensional maps. The maps are then quantized using a recently developed Weyl representation on the torus and the general condition on the Floquet angles is derived for a particular map to be quantizable. The semiclassical approximation is exact, regardless of the dimensionality or of the nature of the fixed points.Comment: 33 pages, latex, 6 figures, Submitted to Nonlinearit

Mudanças no uso da terra e na taxa média de lotação das pastagens entre 2010 e 2014 nas diferentes microrregiões geográficas do Mato Grosso do Sul.

O objetivo da pesquisa foi verificar mudanças no uso da terra nos últimos anos no Mato Grosso do Sul e explorar suas implicações nas taxas médias de lotação das pastagens com bovinos nas diferentes microrregiões geográficas do Estado. Foi utilizado o método de análise documental ex-post-facto, baseada nos bancos de dados da Agência Estadual de Defesa Sanitária Animal e Vegetal do Estado do Mato Grosso do Sul, Sistema de Informações Gerenciais dos SIF do Ministério da Agricultura Pecuária e Abastecimento e do sistema SIGA-MS da Associação dos Produtores de Soja e Milho de Mato Grosso do Sul. Os resultados mostraram que houve aumento substancial nas áreas dedicadas a cultivos com consequente redução nas áreas de pastagens. Isso levou de modo geral a um consequente aumento nas taxas médias de lotação. Em praticamente todas as regiões houve redução das áreas de pastagens. Principalmente onde as mesmas permaneceram estáveis houve aumento no efetivo bovino. Nas regiões de solos mais férteis, as reduções de áreas de pastagens foram mais acentuadas, levando ao aumento nas taxas de lotação como forma evidente de manter a atividade viável

Sistema integrado de produção agroecológica: uma experiência de pesquisa em agricultura orgânica.

O sistema integrado de produção agroecológica (SIPA). Alguns resultados de pesquisa no SIPA.bitstream/item/111699/1/CNPAB-Sistema-Integrado-de-Producao-Agroecologica-SIPA-DOC.-169-03.pd