Superconductivity and charge density wave under a time-dependent periodic field in the one-dimensional attractive Hubbard model

Abstract

We investigate the competition between superconductivity (SC) and charge density wave (CDW) under a time-dependent periodic field in the attractive Hubbard model. By employing the timedependent exact diagonalization method, we show that the driving frequency and amplitude of the external field can control the enhancement of either superconducting pair or CDW correlations, which are degenerate in the ground state of the attractive Hubbard model in the absence of the field. In the strong-coupling limit of the attractive Hubbard interaction, the controllability is characterized by the anisotropic interaction of the effective model. The anisotropy is induced by the external field and lifts the degeneracy of SC and CDW. We find that the enhancement or suppression of the superconducting pair and CDW correlations in the periodically-driven attractive Hubbard model can be well interpreted by the quench dynamics of the effective model derived in the strong-coupling limit.

Manipulating intertwined orders in solids with quantum light

“…The relevant factor e −g 2 /2 is due to the cavity-induced dynamical localization [31]. This behavior is dramatically different from classical Floquet driving, where a blue-detuned light (Ω > U ) enhances superconductivity [28,29,39]. To confirm this prediction from the effective pseudospin model, we solve the original Hamiltonian (1) using exact diagonalization (ED).…”