Vivian V. França
(São Paulo State University, Brazil)

In this talk, we will discuss how the analysis of local observables—most notably the single-site entropy—can unveil the collective structure of strongly correlated one-dimensional systems described by the standard and extended Hubbard models. We address the phenomenology of phase transitions in disordered systems, emphasizing the competition among interactions, disorder, and entanglement, including the Mott and Anderson metal–insulator transitions. We also present results on harmonically confined superfluid chains, modeled by the attractive fermionic Hubbard Hamiltonian, showing that increasing confinement or filling drives a quantum phase transition from a superfluid to a topological insulator, where an insulating bulk coexists with symmetry-protected, highly entangled edge superfluids. In parallel, we show that local, diagonal single-site quantities—such as charge and spin fluctuations, occupation probabilities, and entanglement—can capture the onset of off-diagonal long-range order in the one-dimensional extended Hubbard model at half-filling.

Zoom registration link:
https://zoom.us/meeting/register/Gr3fwoneTJq1_AiJE42oTg