Browsing by Autor "Sergio Curilef"

Now showing 1 - 5 of 5

Discontinuous spirals of stability in an optically injected semiconductor laser
(American Institute of Physics, 2020) C. Abraham T. Chávez; Sergio Curilef
We report a new kind of discontinuous spiral with stable periodic orbits in the parameter space of an optically injected semiconductor laser model, which is a combination of the intercalation of fish-like and cuspidal-like structures (the two normal forms of complex cubic dynamics). The spiral has a tridimensional structure that rolls up in at least three directions. A turn of approximately 2π radians along the spiral and toward the center increases the number of peaks in the laser intensity by one, which does not occur when traversing the discontinuities. We show that as we vary the linewidth enhancement factor (α), discontinuities are created (destroyed) through disaggregation (collapses) from (into) the so-called shrimp-like structures. Future experimental verification and applications, as well as theoretical studies to explain its origin and relation with homoclinic spirals that exist in its neighborhood, are needed.
Entanglement-related features of hydrogenic systems and other systems described by bound states of two interacting particles
(American Institute of Physics, 2025) Benny Nogales; Sergio Curilef; A. Plastino
This paper delves into entanglement-related features of one-dimensional and three-dimensional systems comprising two particles interacting through an attractive potential, such as the delta, harmonic, and Coulomb ones. As a quantitative indicator of the amount of entanglement between the particles, we employ the linear entropy of the system's one-particle marginal density matrices. Except in some particular instances involving the harmonic potential, this quantity is not analytically tractable and requires numerical evaluation. Our aim is to elucidate some aspects of entanglement in hydrogenic systems. Hydrogenic systems, consisting of two particles interacting through the Coulomb potential, are of clear importance in physics and chemistry, but their entanglement properties have started to be explored only recently. To better understand entanglement in those systems, we first analyze one-dimensional systems interacting via Dirac delta and harmonic potentials. Insights gained from these one-dimensional cases provide valuable guidelines for studying entanglement in hydrogenic systems. We numerically investigate, for the interaction potentials already mentioned, and for different types of confinement for the center of mass, how the system's entanglement varies with the parameters that determine the size and geometry of the system's quantum state. We find that entanglement depends on a dimensionless quantity given by the quotient of two parameters characterizing the length scales associated with the interaction potential and the center of mass confinement. Entanglement approaches its maximum when the above-mentioned dimensionless quotient tends to its extreme values and adopts its minimum at an intermediate value of the dimensionless quotient. We find that the same general qualitative features of entanglement behavior are observed for different attractive interactions.
<i>Tricorn</i>-like structures in an optically injected semiconductor laser
(American Institute of Physics, 2020) C. Abraham T. Chávez; Sergio Curilef
This study reports the existence of tricorn-like structures of stable periodic orbits in the parameter plane of an optically injected semiconductor laser model (a continuous-time dynamical system). These tricorns appear inside tongue-like structures that are created through simple Shi'lnikov bifurcations. As the linewidth enhancement factor-α of the laser increases, these tongues invade the laser locking zone and extends over the zone of stable period-1 orbits. This invasion provokes a rich overlap dynamics of the parameter planes that produces an abundant multistability. As α increases, the tricorn exhibits a phenomenon of codimension-3 rotating in the clockwise and counterclockwise directions in the plane of the injected field rate K vs its detuning ω. We hope that the numerical evidence of the tricorns presented herein motivates the study of mathematical conditions for their genesis. We also encourage the experimental verification of these tricorn-like structures because our results also open new possibilities for optical switching between several different laser outputs in the neighborhood of these structures.
Multistability due to simple Shil’nikov bifurcations in the Lorenz-84 low-order atmospheric model
(American Institute of Physics, 2023) Ciby J. Abraham; Tonatiuh García Chàvez; Iván E. Fuentes; Alvear O. Patricio; Sergio Curilef
On the trajectories of the quasi-stationary states in the d-HMF model
(American Institute of Physics, 2023) R. N. Moreira; Boris Atenas; Julia Ara Navarro; Sergio Curilef