Synchronization of Higgs Oscillations in Long-Range Interacting Superconductors

We analyze the impact of long-range electron-electron interactions on the non-equilibrium dynamics of unconventional superconductors. Using the recently developed Singular Euler-Maclaurin expansion, we compute the time evolution of a 2D superconductor after a sudden quench in a chiral singlet+triplet phase with p+d symmetry and in a singlet d+s phase [1]. We find that the long-range interactions stabilize the Higgs oscillation. While the d-waves intrinsic Higgs mode quickly decays, it begins to mirror the stable Higgs oscillation of the p-wave and s-wave condensate part respectively, due to the coupling at the d-wave nodes. We compute experimentally relevant quantities such as time-resolved optical conductivity to guide the experimental search of these intriguing phenomena.

[1] Phys. Rev. Research 5, 043065 (2023)