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We show a general approach for detecting genuine multipartite entanglement(GME) and partial inseparability in many-body-systems by means of macroscopicobservables (such as the energy) only. We show that the obtained criteria, the"GME gap" and "the k-entanglement gap", detect large areas of genuinemultipartite entanglement and partial entanglement in typical many body states,which are not detected by other criteria. As genuine multipartite entanglementis a necessary property for several quantum information theoretic applicationssuch as e.g. secret sharing or certain kinds of quantum computation, ourmethods can be used to select or design appropriate condensed matter systems.

Macroscopic Observables Detecting Genuine Multipartite Entanglement and Partial Inseparability in Many-Body Systems