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We discuss preheating after multi-field inflation in the presence of severalpreheat matter fields that become light in the vicinity of (but not at) theinflatons' VEV, at distinct extra-species-points (ESP); this setup is motivatedby inflationary models that include particle production during inflation,e.g.trapped inflation, grazing ESP encounters or modulated trapping, amongothers. While de-phasing of inflatons tends to suppress parametric resonance,we find two new effects leading to efficient preheating: particle productionduring the first in-fall (efficient if many preheat matter fields are present)and a subsequent (narrow) resonance phase (efficient if an ESP happens to be atone of several distinct distances from the inflatons' VEV). Particles producedduring the first in-fall are comprised of many species with low occupationnumber, while the latter are made up of a few species with high occupationnumber.  We provide analytic descriptions of both phases in the absence ofback-reaction, which we test numerically. We further perform latticesimulations to investigate the effects of back-reaction. We find resonances tobe robust and the most likely cause of inflaton decay in multi-field trappedinflation if ESP distributions are dense.

Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special