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Nonlocal effects have been shown to be responsible for a variety ofnon-trivial optical effects in small-size plasmonic nanoparticles, beyondclassical electrodynamics. However, it is not clear whether optical modedescriptions can be applied to such extreme confinement regimes. Here, wepresent a powerful and intuitive quasinormal mode description of the nonlocaloptical response for three-dimensional plasmonic nanoresonators. The nonlocalhydrodynamical model and a generalized nonlocal optical response model forplasmonic nanoresonators are used to construct an intuitive modal theory and tocompare to the local Drude model response theory. Using the example of a goldnanorod, we show how an efficient quasinormal mode picture is able toaccurately capture the blueshift of the resonances, the higher damping rates inplasmonic nanoresonators, and the modified spatial profile of the plasmonquasinormal modes, even at the single mode level. We exemplify the use of thistheory by calculating the Purcell factors of single quantum emitters, theelectron energy-loss spectroscopy spatial maps, as well as the Mollow tripletspectra of field-driven quantum dots with and without nonlocal effects fordifferent size nanoresonators. Our nonlocal quasinormal mode theory offers areliable and efficient technique to study both classical and quantum opticalproblems in nanoplasmonics.

Nonlocal quasinormal modes for arbitrarily shaped three-dimensional plasmonic resonators