A5063889525- Nonlinear Photonic Systems
- Advanced Fiber Laser Technologies
- Nonlinear Waves and Solitons
- Nonlinear Dynamics and Pattern Formation
- Cold Atom Physics and Bose-Einstein Condensates
- Strong Light-Matter Interactions
- Advanced Mathematical Physics Problems
- Quantum chaos and dynamical systems
- Quantum Mechanics and Non-Hermitian Physics
- COVID-19 epidemiological studies
- Mechanical and Optical Resonators
- Advanced Fiber Optic Sensors
- Quantum optics and atomic interactions
- Numerical methods for differential equations
- Spectroscopy and Quantum Chemical Studies
- COVID-19 Pandemic Impacts
- DNA and Nucleic Acid Chemistry
- Fractional Differential Equations Solutions
- Laser-Matter Interactions and Applications
- Diffusion and Search Dynamics
- Theoretical and Computational Physics
- stochastic dynamics and bifurcation
- Physics of Superconductivity and Magnetism
- Topological Materials and Phenomena
- Quantum and electron transport phenomena
Universidad de Sevilla
2016-2025
Southern Methodist University
2022-2023
University of Massachusetts Amherst
2011-2021
University of Oxford
2021
Los Alamos National Laboratory
2015
Technological Educational Institute of Central Macedonia
2011
Laboratório Interinstitucional de e-Astronomia
2011
Universidade Politecnica
2009
University of the Aegean
2008
Maxwell Institute for Mathematical Sciences
2008
Motivated by recent experimental results, we study beating dark–dark (DD) solitons as a prototypical coherent structure that emerges in two-component Bose–Einstein condensates. We showcase their connection to dark–bright via SO(2) rotation, and infer from it both intrinsic frequency of oscillation inside parabolic trap. identify them exact periodic orbits the Manakov limit equal inter- intra-species nonlinearity strengths with without trap persistence such states upon weak deviations this...
In this work, we present a mechanical example of an experimental realization stability reversal between on-site and intersite centered localized modes. A corresponding vanishing the Peierls-Nabarro barrier allows for experimentally observed enhanced mobility modes near point. These features are supported by detailed numerical computations discrete breathers in system forced damped coupled pendula. Furthermore, additional exotic relevant model, such as dark briefly discussed.
We study families of one-dimensional matter-wave bright solitons supported by the competition contact and dipole-dipole (DD) interactions opposite signs. Soliton are found, their stability is investigated in free space, presence an optical lattice (OL). Free-space may exist with arbitrarily weak local attraction if strength DD repulsion fixed. In case attraction, do not beyond a maximum value local-repulsion strength. system which includes OL, region for \textit{subfundamental solitons}...
We examine the spatial modeling of outbreak COVID-19 in two regions: autonomous community Andalusia Spain and mainland Greece. start with a zero-dimensional (0D; ordinary-differential-equation-level) compartmental epidemiological model consisting Susceptible, Exposed, Asymptomatic, (symptomatically) Infected, Hospitalized, Recovered, deceased populations (SEAIHR model). emphasize importance viral latent period (reflected exposed population) key role an asymptomatic population. optimize...
The long-standing problem of moving discrete solitary waves in nonlinear Schr\"odinger lattices is revisited. context photorefractive crystal with saturable nonlinearity whose grand-canonical energy barrier vanishes for isolated coupling strength values. Genuinely localized traveling are computed as a function the system parameters first time. relevant solutions exist only finite velocities.
The interaction of matter–wave solitons with a potential barrier is fundamentally important problem, and the splitting subsequent recombination soliton by essence interferometry. We demonstrate three-dimensional (3D) character interactions in case relevant to ongoing experiments, where number atoms relatively close collapse threshold. examine dynamics framework effectively one-dimensional (1D) nonpolynomial Schrödinger equation (NPSE), which admits modified form, parallel we use full 3D...
In this paper, we construct, by means of similarity transformations, explicit solutions to the cubic–quintic nonlinear Schrödinger equation with potentials and nonlinearities depending on both time spatial coordinates. We present general approach use it calculate bright dark soliton for physical interest in applications Bose–Einstein condensates optics.
Quantum vortices, the quantized version of classical play a prominent role in superfluid and superconductor phase transitions. However, their exploration at particle level open quantum systems has gained considerable attention only recently. Here we study vortex pair interactions resonant polariton fluid created solid-state microcavity. By tracking vortices on picosecond time scales, reveal nonlinearity, as well density gradients, driving rotational dynamics. Such effects are also...
In this work, we revisit a criterion, originally proposed in Friesecke & Pego (Friesecke 2004 Nonlinearity17, 207-227. (doi:10.1088/0951715/17/1/013)), for the stability of solitary travelling waves Hamiltonian, infinite-dimensional lattice dynamical systems. We discuss implications criterion from point view theory, both at level spectral analysis advance-delay differential equations co-travelling frame, as well that Floquet problem arising when considering wave periodic orbit modulo shift....
In the present work, we explored dynamics of single kinks, kink–anti-kink pairs and bound states in prototypical fractional Klein–Gordon example sine-Gordon equation. particular, modified order β temporal derivative to that a Caputo type found that, for 1<β<2, this imposes dissipative dynamical behavior on coherent structures. We also examined variation Riesz α spatial derivative. Here, depending whether was below or above harmonic value α=2, found, respectively, monotonically...
We study the coupling between backward- and forward-propagating wave modes, with same group velocity, in a composite right/left-handed nonlinear transmission line. Using an asymptotic multiscale expansion technique, we derive system of two coupled Schr{\"o}dinger equations governing evolution envelopes these modes. show that this supports variety forward propagating vector solitons, bright-bright, bright-dark dark-bright type. Performing systematic numerical simulations framework original...
In this work, we study the collision of an atomic dark-bright soliton, in a two-component Bose-Einstein condensate, with Gaussian barrier or well. First, present results experiment, illustrating classical particle phenomenology (transmission reflection) case equal well both components. Then, motivated by experimental observations, perform systematic simulations considering not only heights, but also considerably more complex setting, where potential affects one two We systematically classify...
We provide a systematic analysis of prototypical nonlinear oscillator system respecting $\mathcal{P}\mathcal{T}$ symmetry i.e., one them has gain and the other an equal opposite amount loss. Starting from linear limit system, we extend considerations to case for both soft hard cubic nonlinearities identifying symmetric antisymmetric breather solutions, as well symmetry-breaking variants thereof. propose reduction Schr\"odinger-type $\mathcal{P}\mathcal{T}$-symmetric dimer, whose detailed...
We show experimentally and numerically that an intrinsic localized mode (ILM) can be stably produced (and observed) via subharmonic, spatially homogeneous driving in the context of a nonlinear electrical lattice. The precise spatial response system has been seen to depend on relative location frequency between driver frequency, ω(d), bottom linear dispersion curve, ω(0). If ω(d)/2 lies just below ω(0), then single ILM generated 32-node lattice, whereas, when within band, extended waveform...
We report the observation of spontaneous localization energy in two spatial dimensions context nonlinear electrical lattices. Both stationary and traveling self-localized modes were generated experimentally theoretically a family two-dimensional square, as well hon- eycomb lattices composed 6x6 elements. Specifically, we find regions driver voltage frequency where discrete breathers, also known intrinsic localized (ILM), exist are stable due to interplay damping spatially homogeneous...
We study experimentally and numerically the existence stability properties of discrete breathers in a periodic nonlinear electric line. The line is composed single cell nodes, containing varactor diode an inductor, coupled together ring configuration through inductors driven uniformly by harmonic external voltage source. A simple model for each proposed using form characteristics current capacitance dependence on voltage. For electrical 32 elements, we find regions, driver frequency, where...