  A quantum theory of feedback of bosonic many-atom systems is formulated. The
feedback-induced many-atom correlations are treated by use of a parameterized
correlation function, for which closed equations of motion are derived.
Therefrom the dynamics of any additive property of the system, i.e., properties
derived from the reduced single-atom density operator, can be obtained. An
example is given that indicates the correlation effects of feedback.
