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For mesoscopic ensembles containing 100 or more atoms we measure the totalatom number and the number of atoms in a specific hyperfine state withsingle-atom resolution. The measurement detects the atom-induced shift of theresonance frequency of an optical cavity containing the ensemble. This workextends the range of cavity-based detection with single-atom resolution by morethan an order of magnitude in atom number, and provides the readout capabilitynecessary for Heisenberg-limited interferometry with atomic ensembles.

Collective state measurement of mesoscopic ensembles with single-atom resolution