Transient superconducting fluctuations in the fermionic Hubbard model after a quantum quench

We study the evolution of superconducting correlations in the fermionic Hubbard model following a quantum quench of the attractive interaction. Using a phase space approach, we investigate the dynamics of single- and two-particle correlations. Our study explores the connection of the single-particle relaxation dynamics and the growth of superconducting correlations. We demonstrate that the quantum quench from a non-interacting to an interacting Hamiltonian leads to a transient, short-range ordered state characterized by pairing correlations. Moreover, during the evolution, the single particle quantities shows properties of a zero-temperature Fermi-liquid.