Fig. 3: Time evolution of superconducting pairing amplitudes obtained from time-dependent Gutzwiller simulation.
From: Time-dependent Gutzwiller simulation of Floquet topological superconductivity
a Time profile of the driving field of circularly-polarized light (CPL). The electric field increases linearly up to E = 5.4t0/a until ωt/2π = 200 and is constant after that. b, c Real and imaginary parts of the pairing amplitudes Δτ. (d, e) real and imaginary parts of the pairing amplitudes with the phase rotation Δτe−iθ. θ is selected to keep Δ[1, 0]e−iθ to be real (i.e., Δ[1, 0] = ∣Δ[1, 0]∣eiθ). f The idxy-wave component of the pairing amplitude \({\Delta }_{i{d}_{xy}}\). \({\Delta }_{i{d}_{xy}}=({{{{{{{\rm{Im}}}}}}}}[{\Delta }_{[-1,1]}{e}^{-i\theta }]-{{{{{{{\rm{Im}}}}}}}}[{\Delta }_{[1,1]}{e}^{-i\theta }])/2\) corresponds to the idxy pairing amplitude. \({\Delta }_{i{d}_{xy}}\) emerges under the CPL driving and the topological superconductivity is realized. h, i, j Blowup of shaded areas in (d, e, f). \({{{{{{{\rm{Im}}}}}}}}[{\Delta }_{[-1,1]}{e}^{-i\theta }]\) and \({{{{{{{\rm{Im}}}}}}}}[{\Delta }_{[1,1]}{e}^{-i\theta }]\) become different and nonzero \({\Delta }_{i{d}_{xy}}\) appears in the steady state under the CPL driving. g Notations for the superconducting pairing amplitudes on the bonds and their color codes for (b–e, h, i). We adopted the parameter set: the driving frequency ω = 5.8t0, the next nearest neighbor hopping \({t}_{0}^{{\prime} }=-0.2{t}_{0}\), the onsite interaction U = 12t0 and the hole doping level δ = 0.2, where t0 is the nearest neighbor hopping amplitude and a is the lattice constant.
