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The time evolution of a system consisting of two-level atoms and a laser field is compared with the evolution of a mean field theory. The evolution on the quasilocal level is extended to the fluctuation algebra, where with the modifications necessary for time-dependent states it can be described as a quasifree automorphism. The spectral properties of these automorphisms are related to the stability properties of the underlying quasilocal state. PACS numbers: 03.67Hk, 05.30Fk.doi:10.1553/sunda2004ssii3 fatcat:x2rmlblj65co3fixoel66vf4sa