A. Antillón

Vortices and domain walls in a Chern-Simons theory with magnetic moment interactions

We study the structure and properties of vortices in a recently proposed Abelian Maxwell-Chern-Simons model in

GLOBALLY COUPLED MAPS WITH SEQUENTIAL UPDATING

2+1

Emittance of a nonlinear machine: the two-dimensional problem☆

dimensions. The model which is described by a gauge field interacting with a complex scalar field includes two parity- and time-violating terms: the Chern-Simons and the anomalous magnetic terms. Self-dual relativistic vortices are discussed in detail. We also find one-dimensional soliton solutions of the domain wall type. The vortices are correctly described by the domain wall solutions in the large flux limit.

Transport matrices for nonlinear lattice functions

Abstract A system of globally coupled logistic maps with sequential updating is analyzed numerically. It is found that deterministic asynchronous updating schemes may have dramatic influences on the dynamical behaviors of globally coupled systems. Transitions from spatio–temporal chaos to spatially organized states are observed as the coupling parameter varies. It is shown that the model system may exhibit a variety of collective properties such as the clustering, traveling wave patterns, and spatial bifurcation cascades.

Alternating chaotic and periodic dynamics in Chern–Simons–Higgs theory with scalar magnetic interaction

Abstract We outline an approach for obtaining the approximate invariants of the motion of a particle in a nonlinear storage ring. The distortion of phase space due to amplitude and chromatic effects is described by periodic functions in addition to the Courant-Snyder functions α, β and γ. The approach, which is complementary to others, is particularly useful at the design stage of the machine.

First Mexican Synchrotron Radiation Users Meeting

Abstract We review some of the methods currently used to reliably calculate quasi-invariants and we make transparent the relation between our previous work and part of this article, with the Lie algebraic technique. We construct the explicit relation between them for the problem of transverse motion of particles in a storage ring. Here, the onset of distortions of phase space due to amplitude and chromatic effects is well described by periodic functions in addition to the Courant-Snyder functions α, β and γ. To use the periodic functions at the design stage of the machine, it is necessary to compute these functions efficiently. For this purpose we also present a convenient list of transport matrices for the periodic functions.

Angle-impact representations for wave fields in convex cavities

The dynamical behavior of a Chern-Simons-Higgs system is studied for the spatially homogeneous case. The model, described by interacting gauge and scalar fields includes two parity and time violating terms: the Chern-Simons and the scalar magnetic interaction. For the pure Chern-Simons part of the theory the equations of motion are integrable. In general, however, the model system exhibits an interesting pattern of chaos to order transitions as the scalar magnetic moment is varied. The system dynamics are analyzed using a combination of standard techniques, such as phase space portraits, Lyapunov exponents, and Fourier spectra. (c) 2000 American Institute of Physics.

Dynamic control of an embedded cavity resonator

The first Mexican Synchrotron Radiation Users Meeting took place in Cuernavaca on May 4–6, 2011, with 74 researchers and students in attendance. This event was organized by the Universidad Nacional Autónoma de México (UNAM), the Universidad de Guanajuato (UG), and the Centro de Investigación y de Estudios Avanzados (Cinvestav), and supported by the Mexican Science and Technology Council (CONACyT). The meeting originated from an initiative of the Mexican High Energy Physics Network in coordination with CONACyT as an initial step in evaluating the feasibility and pertinence of building a synchrotron light source in Mexico, envisioned as a facility that would also be open to users from other countries. This initiative included other actions such as visits to recently opened synchrotrons in order to broaden perspective and gain knowledge of the potential technological and economic impact of constructing and operating a synchrotron light source in Mexico.

Non‐Abelian Chern‐Simons vortices

A set of phase space distributions for representing the resonant modes of a wave field in a convex billiard is presented and compared to the standard Husimi distribution at the boundary. These representations have the angle and impact parameter of a ray as variables, rather than the standard position around the boundary and tangential momentum. We show that these new options present several features, and are useful in the study of open cavities. As an example, we consider the bowtie mode of a quadrupole-deformed billiard.

Liénard-Wiechert potentials of a non-Abelian charge

We propose two embedded elliptic billiards as a possible cavity resonator. We analyze the ray and wave optic properties of the resonators, mostly in 2D but also in 3D. We show that this system can produce special whispering gallery modes that can be controlled by changing the parameters of the billiards. Our results indicate that this configuration may work well as a short wavelength practical table-top cavity resonator.