The historical role of nonlinear waves in developing the science of complexity, and also their physical feature of being a widespread paradigm in optics, establishes a bridge between two diverse and fundamental fields that can open an immeasurable number of new routes. In what follows, we present our most important results on nonlinear waves in classical and quantum nonlinear optics. About classical phenomenology, we lay the groundwork for establishing one uniform theory of dispersive shock waves, and for controlling complex nonlinear regimes through simple integer topological invariants. The second quantized field theory of optical propagation in nonlinear dispersive media allows us to perform numerical simulations of quantum solitons and ...
Committee members: Frank W. Wise, Albert Sievers, and Tomas AriasThis thesis presents experimental a...
We give a brief historical review of Louis de Broglie realistic research program as developed in Li...
The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution...
We study artificial neural networks with nonlinear waves as a computing reservoir. We discuss univer...
abstract: What can classical chaos do to quantum systems is a fundamental issue highly relevant to a...
From optics to hydrodynamics, shock and rogue waves are widespread. Although they appear as distinct...
The description of irreversible phenomena is a still debated topic in quantum mechanics. Still nowad...
Integrability and chaos are two of the main concepts associated with nonlinear physical systems whic...
Shock waves dominate in a wide variety of fields in physics dealing with nonlinear phenomena, nevert...
We overview some recent theoretical studies of dynamical models beyond the framework of slowly varyi...
Complex scattering exists in many diverse physical and real-life scenarios. Examples include reactio...
By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multi...
The research focus of this dissertation is the generation of pulses with extreme characteristics. Th...
Playing a prominent role in communications, quantum science and laser physics, quantum nonlinear opt...
In an optical experiment, we report a wave turbulence regime that, starting with weakly nonlinear wa...
Committee members: Frank W. Wise, Albert Sievers, and Tomas AriasThis thesis presents experimental a...
We give a brief historical review of Louis de Broglie realistic research program as developed in Li...
The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution...
We study artificial neural networks with nonlinear waves as a computing reservoir. We discuss univer...
abstract: What can classical chaos do to quantum systems is a fundamental issue highly relevant to a...
From optics to hydrodynamics, shock and rogue waves are widespread. Although they appear as distinct...
The description of irreversible phenomena is a still debated topic in quantum mechanics. Still nowad...
Integrability and chaos are two of the main concepts associated with nonlinear physical systems whic...
Shock waves dominate in a wide variety of fields in physics dealing with nonlinear phenomena, nevert...
We overview some recent theoretical studies of dynamical models beyond the framework of slowly varyi...
Complex scattering exists in many diverse physical and real-life scenarios. Examples include reactio...
By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multi...
The research focus of this dissertation is the generation of pulses with extreme characteristics. Th...
Playing a prominent role in communications, quantum science and laser physics, quantum nonlinear opt...
In an optical experiment, we report a wave turbulence regime that, starting with weakly nonlinear wa...
Committee members: Frank W. Wise, Albert Sievers, and Tomas AriasThis thesis presents experimental a...
We give a brief historical review of Louis de Broglie realistic research program as developed in Li...
The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution...