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We investigate the photoemission-type spectrum in a cold Fermi gas which wasrecently measured by JILA group [J. T. Stewart {\it et al}., Nature\textbf{454}, 744 (2008)]. This quantity gives us very useful information aboutsingle-particle properties in the BCS-BEC crossover. In this letter, includingpairing fluctuations within a $T$-matrix theory, as well as effects of aharmonic trap within the local density approximation, we show that spatiallyinhomogeneous pairing fluctuations due to the trap potential is an importantkey to understand the observed spectrum. In the crossover region, while strongpairing fluctuations lead to the so-called pseudogap phenomenon in the trapcenter, such strong-coupling effects are found to be weak around the edge ofthe gas. Our results including this effect are shown to agree well with therecent photoemission data by JILA group.

Photoemission spectrum and effect of inhomogeneous pairing fluctuations in the BCS-BEC crossover regime of an ultracold Fermi gas