  Ultracold interacting atoms are an excellent tool to study correlation
functions of many-body systems that are generally eluding detection and
manipulation. Herein, we investigate the ground state of bosons in a tilted
triple-well potential and characterize the many-body state by the eigenvalues
of its reduced one-body density matrix and Glauber correlation functions. We
unveil how the interplay between the interaction strength and the tilt can be
used to control the number of correlated wells as well as the fragmentation,
i.e. the number of macroscopic eigenvalues of the reduced one-body density
matrix.
