Torres Herrera, Eduardo JonathanTorres Herrera, Eduardo Jonathan; 0000-0001-7619-5105Texca García, Julio Cesar2026-05-282026-05-282025-11https://hdl.handle.net/20.500.12371/32530“In this work we study the so-called adiabatic gauge potential as a diagnostic of quantum many-body chaos. For our proposals we employ two paradigmatic models of many-body quantum systems, the one-dimensional Heisenberg spin-1/2 model with an on-site defect that can break integrability and, the interacting Aubry-André model. The first part of the work consists of characterizing the behavior of these models with conventional tools of ran dom matrix theory. In particular, by studying the spectral properties and the structure and statistics of energy eigenstates. Finally, we study the transition to chaos in these models by means of the adiabatic gauge potential. We show that the adiabatic gauge potential is more sensitive to detect the transition than conventional diagnostics of random matrix theory”.pdfengCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRAFísica--Física matemática--Temas especiales--Invariantes adiabáticosFísica--Física nuclear y de partículas--Física de partículas elementales--Temas especiales--EspínMatrices aleatoriasSistemas cuánticosTesis de maestríaopenAccess