Research

The interplay of interactions and topology displays a rich variety of physical states, and often controversial when using different numerical methods. I am interested in understanding such arena of topological many-body systems, more recently in non-Hermitian cases as well.

I am interested in the mechanism that leads to thermalization in direct application of the ETH framework. I also investigate its apparent breakdown, the phenomenon of many-body localization (in theory and in collaboration with experimental groups)

One of the the most common ingredients that encompasses unconventional superconductors is the degree of inhomogeneity when describing them. Thus, I am precisely interested in this interplay, the formation of stripes, plaquettes and other structure that can compete/aid superconductivity.

The sign problem permeates a variety of fields in science, and poses as the fundamental obstacle that prevents accurate computations in a variety of problems of quantum correlated matter. I'm interested in its characterization beyond simply running away from it, understanding how it systematically arises in the vicinity of quantum critical points (regions).

I have been collaborating with experimentalists by proposing ideas that can be tackled with exquisite quantum emulators based in superconducting quantum circuits, in particular in the MBL phenomenon.

While the description of phases and phase transitions are (mostly) well understood in equilibrium systems, driven quantum many-body physics evade these conditions and allow the possible observation of phenomena that were not present in static Hamiltonians.