Physical properties of the Schur complement of local covariance matrices

General properties of global covariance matrices representing bipartite Gaussian states can be decomposed into properties of local covariance matrices and their Schur complements. We demonstrate that given a bipartite Gaussian state $\rho_{12}$ described by a $4\times 4$ covariance matrix \textbf{V}, the Schur complement of a local covariance submatrix $\textbf{V}_1$ of it can be interpreted as a new covariance matrix representing a Gaussian operator of party 1 conditioned to local parity measurements on party 2. The connection with a partial parity measurement over a bipartite quantum state and the determination of the reduced Wigner function is given and an operational process of parity measurement is developed. Generalization of this procedure to a $n$-partite Gaussian state is given and it is demonstrated that the $n-1$ system state conditioned to a partial parity projection is given by a covariance matrix such as its $2 \times 2$ block elements are Schur complements of special local matrices.Comment: 10 pages. Replaced with final published versio

Uniform approximation for the overlap caustic of a quantum state with its translations

The semiclassical Wigner function for a Bohr-quantized energy eigenstate is known to have a caustic along the corresponding classical closed phase space curve in the case of a single degree of freedom. Its Fourier transform, the semiclassical chord function, also has a caustic along the conjugate curve defined as the locus of diameters, i.e. the maximal chords of the original curve. If the latter is convex, so is its conjugate, resulting in a simple fold caustic. The uniform approximation through this caustic, that is here derived, describes the transition undergone by the overlap of the state with its translation, from an oscillatory regime for small chords, to evanescent overlaps, rising to a maximum near the caustic. The diameter-caustic for the Wigner function is also treated.Comment: 14 pages, 9 figure

Scaling in a continuous time model for biological aging

In this paper we consider a generalization to the asexual version of the Penna model for biological aging, where we take a continuous time limit. The genotype associated to each individual is an interval of real numbers over which Dirac $\delta$--functions are defined, representing genetically programmed diseases to be switched on at defined ages of the individual life. We discuss two different continuous limits for the evolution equation and two different mutation protocols, to be implemented during reproduction. Exact stationary solutions are obtained and scaling properties are discussed.Comment: 10 pages, 6 figure

Alternate islands of multiple isochronous chains in wave-particle interactions

We analyze the dynamics of a relativistic particle moving in a uniform magnetic field and perturbed by a standing electrostatic wave. We show that a pulsed wave produces an infinite number of perturbative terms with the same winding number, which may generate islands in the same region of phase space. As a consequence, the number of isochronous island chains varies as a function of the wave parameters. We observe that in all the resonances, the number of chains is related to the amplitude of the various resonant terms. We determine analytically the position of the periodic points and the number of island chains as a function of the wave number and wave period. Such information is very important when one is concerned with regular particle acceleration, since it is necessary to adjust the initial conditions of the particle to obtain the maximum acceleration.Comment: Submitte

Plantios comerciais de cupuaçuzeiro são fontes de novas cultivares?

A procura por novos materiais é uma prática incessante em qualquer programa de melhoramento genético. Os pomares de cupuaçuzeiro do município de Tomé Açu - Pará, por apresentarem alta variabilidade, oferecem oportunidade de que sejam selecionadas matrizes com boas características de produção de frutos. O objetivo desta pesquisa foi avaliar clones de cupuaçuzeiro oriundos de plantios comerciais, para identificar e selecionar matrizes interessantes para o programa de melhoramento genético da espécie. Dezoito matrizes foram, inicialmente, identificadas nos pomares comerciais, e depois clonadas. O experimento foi instalado a campo, em fevereiro/1999, no delineamento blocos inteiramente casualizados, com dez repetições, sendo uma planta por parcela. Foram coletados dados do número de frutos produzidos por planta, bem como, o peso do fruto, peso de sementes e polpa por fruto. Os dados revelaram boa variabilidade entre os clones no tocante ao número de frutos, entretanto, houve pouca variação para as características componentes do fruto. O clone 378 destacou-se como o material mais promissor para todas as variáveis estudadas. Quanto à produção de frutos também merece destaque o clone 366 e para produção de sementes o clone 375. Este clone também teve bom desempenho na produção de polpa, assim como os clones 366 e 415. Pelo comportamento apresentado neste ensaio, os clones 378, 375 e 366 deverão ser aproveitados pelo programa de melhoramento genético. Entretanto, necessitam ser testados numa escala experimental ampliada, antes da seleção final.PIBIC-2011

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