Soliton gas: Theory, numerics, and experiments

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The manipulation of quantum materials by light constitutes a new emergent field in condensed matter systems. Strong light-matter coupling and ultrafast optics are powerful tools for inducing new quantum phases in strongly correlated systems, with one parti ...

Living systems are maintained out of equilibrium by external driving forces. At stationarity, they exhibit emergent selection phenomena that break equilibrium symmetries and originate from the expansion of the accessible chemical space due to nonequilibriu ...

Wave breaking is a complex physical process about which open questions remain. For some applications, it is critical to include breaking effects in phase-resolved envelope-based wave models such as the non-linear Schr & ouml;dinger. A promising approach is ...

In the rapidly evolving landscape of machine learning research, neural networks stand out with their ever-expanding number of parameters and reliance on increasingly large datasets. The financial cost and computational resources required for the training p ...

Nonlinear optical frequency conversion is one of the driving research areas in photonics. Its quasi instantaneous response and the promise of low power consumption in integrated structures could cover the demand for fast signal processing with minimal ener ...

Since the discovery of dissipative Kerr solitons in optical microresonators, significant progress has been made in the understanding of the underlying physical principles from the fundamental side and generation of broadband coherent optical Kerr frequency ...

In this thesis we will present two results on global existence for nonlinear dispersive equations with data at or below the scaling regularity. In chapter 1 we take a probabilistic perspective to study the energy-critical nonlinear Schrödinger equation in ...

This Ph.D. thesis unveils the unique topological phenomena occurring in such networks, focusing on the intricate interplay between their Floquet topology, the presence of disorder, and their unitary scattering at microscopic and macroscopic scales. Using t ...

In this thesis, the generation of microcombs under complex, non-trivial, and/or higher-order cavity conditions is explored, both in theory & simulation, and in practical experimentation. Pulse-driving of microresonators is investigated for the generation ...

Superionics are fascinating materials displaying both solid- and liquid-like characteristics: as solids, they respond elastically to shear stress; as liquids, they display fast-ion diffusion at normal conditions. In addition to such scientific interest, su ...

Integrated optics has shown itself very convenient for exploiting nonlinear processes as it results in high confinement factor, freedom of dispersion engineering and compactness. However, the choice of materials is crucial for the development of nonlinear ...

Many photonic and electronic molecular properties, as well as chemical and biochemical reactivities are controlled by fast intramolecular vibrational energy redistribution (IVR). This fundamental ultrafast process limits coherence time in applications from ...

Empowered by ever-increasing computational power and algorithmic developments, electronic-structure simulations continue to drive research and innovation in materials science. In this context, ab-initio calculations offer an unbiased platform for the under ...

For the prediction of landslide-generated waves, previous studies have developed numerous empirical equations to express the maximums of wave characteristics as functions of slide parameters upon impact. In this study, we built the temporal relationship be ...

We consider the defocusing nonlinear wave equation ❑u D jujp ⠀1u in R3 ⠂ & UOELIG;0; 1/. We prove that for any initial datum with a scaling-subcritical norm bounded by M0 the equation is globally well-posed for p D 5 C i, where i 2 .0; ...

We initiate the study of neural network quantum state algorithms for analyzing continuous-variable quantum systems in which the quantum degrees of freedom correspond to coordinates on a smooth manifold. A simple family of continuous-variable trial wavefunc ...

The electronic density of states (DOS) quantifies the distribution of the energy levels that can be occupied by electrons in a quasiparticle picture and is central to modern electronic structure theory. It also underpins the computation and interpretation ...

We introduce a reconfigurable medium for the manipulation of elastic propagation properties of Lamb waves. It is based on a shape memory polymer (SMP) with temperature-dependent Young's modulus. Waves are excited by a laser pulse and detected by a laser vi ...

This thesis reports on the realization of the first experiments conducted with superfluid, strongly interacting Fermi gases of 6Li coupled to the light field of an optical cavity. In the scope of existing ultracold atomic platforms, this is the first time ...

Solitons are shape preserving waveforms that are ubiquitous across nonlinear dynamical systems from BEC to hydrodynamics, and fall into two separate classes: bright solitons existing in anomalous group velocity dispersion, and switching waves forming 'dark ...

Soliton gas: Theory, numerics, and experiments

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Light-Induced Density Waves in Strongly Interacting Fermions

Thermodynamic Bounds on Symmetry Breaking in Linear and Catalytic Biochemical Systems

A machine learning architecture for including wave breaking in envelope-type wave models

Random matrix methods for high-dimensional machine learning models

Electric-field-induced second-order nonlinear processes in stoichiometric silicon nitride

Emergent nonlinear dynamics in photonic lattices

Probabilistic and Deterministic Wellposedness for Low Regularity Dispersive Equations

Topological photonic transport in disordered scattering networks

Generalised Kerr Microcomb Physics in Synchronously Driven Systems

Solids that are also liquids: elastic tensors of superionic materials

Hybrid lithium niobate-on-silicon nitride platform for mid-IR supercontinuum generation

Antenna-coupled infrared nanospectroscopy of intramolecular vibrational interaction

Spectral and thermodynamic properties of interacting electrons with dynamical functionals

Temporal Prediction of Landslide-Generated Waves Using a Theoretical-Statistical Combined Method

Global Regularity For The Nonlinear Wave Equation With Slightly Supercritical Power

Continuous-variable neural network quantum states and the quantum rotor model

Machine-learning the electronic density of states: electronic properties without quantum mechanics

Optimization of elastic wave propagation in a reconfigurable medium by genetic algorithms with adaptive mutation probability

Many-body physics with strongly interacting fermions coupled to light

Zero dispersion Kerr solitons in optical microresonators