This department develops numerous lines of research that are in constant evolution. They range from numerical studies in general relativity and quantum field theory to theoretical investigations in classical and quantum gravity, mathematical physics, cosmology, and quantum mechanics, including applications to complex systems.
In the field of computational physics, we simulate systems with intense and dynamic gravitational fields, such as the collision of compact objects like black holes and neutron stars, and the emission of gravitational waves. Exotic objects, such as stars formed by scalar fields, are also studied, and the effects of various modified gravity theories on these systems are investigated.
In quantum physics, we conduct simulations on systems of elementary particles and solid states described by quantum fields, with the aim of exploring the strong coupling regime and topological effects, where perturbative methods are not applicable.
In the context of statistical mechanics, genetic algorithms and data science are investigated.
In the fields of gravity, mathematical physics, and cosmology, mechanisms have been proposed to explain how the observable structure of the universe emerged from an initial quantum state. Other research explores possible alternatives to general relativity, dark matter and dark energy, the geometric formulation of thermodynamics, topological quantization, and the analysis of astrophysical systems.
In the context of quantum mechanics, we study molecular systems in strong magnetic fields, the theory of quasi-soluble models, and geometric phases associated with quantum parameters. Special attention has been given to conceptual issues in quantum mechanics, such as wave function collapse. Other areas of interest include coherent states, entangled beams, and quantum computing. The many-body problem is studied in both classical and quantum mechanics.
In the medical field, statistical methods are applied to analyze data related to the spread of epidemics and other diseases.