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We analyse recently measured nonlinear photoemission spectra from Ag surfacesthat reveal resonances whose energies do not scale with the applied photonenergy but stay pinned to multiples of bulk plasmon energy $\hbar\omega_p$above the Fermi level. To elucidate these unexpected and peculiar features weinvestigate the spectra of plasmons generated in a solid by the opticallypumped electronic polarization and their effect on photoemission. By combiningquadratic response formalism for calculations of photoemission yield, anonperturbative approach to inelastic electron scattering, and first-principlescalculations for the electronic structure, we demonstrate the dependence ofprobability amplitude for single- and multiplasmon excitations on the basicparameters characterizing the photon pulse and the system. The resultingmultiexcitation spectrum evolves towards a truncated plasmonic coherent state.Analogous concept is extrapolated to interpret plasmon generation bymultiphoton excited electronic polarization. Based on this we elaborate ascenario that the thus created real plasmons act as supplementaryfrequency-locked pump field for non-Einsteinian plasmonically assisted channelsof photoemission from metals. The established paradigm enables assignment andassessment of the observed linear $\hbar\omega_p$- and nonlinear$2\hbar\omega_p$-electron yields from Ag. Such effects may be exploited forselective filtering of optical energy conversion in electronic systems.

Plasmonically assisted channels of photoemission from metals