Information theoretic measures of the pseudogap and of superconductivity in the two-dimensional Hubbard model

Quantum and classical correlations among electrons in quantum many-body systems give rise to striking phases of matter. Quantum information theory provides new concepts, based on the nature of the entanglement, for characterizing phases of matter and phase transitions in such systems. In this talk, I’ll discuss how quantum information concepts based on entanglement-related properties can be used to provide new insights on the pseudogap and on the strongly correlated superconductivity emerging from a doped Mott insulator. I’ll review recent work [1-4] on this problem in the context of the two-dimensional Hubbard model at finite temperature with cluster dynamical mean-field theory and with a focus on key measures of correlations—thermodynamic entropy, local entropy, and total mutual information. I will outline that the unveiled links between quantum and classical correlations provide a unified framework for the phenomenology of cuprates and predictions for ultracold atoms in optical lattices.