This review article, authored by Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral, explores the properties of entanglement in many-body systems, a field that has seen significant growth due to the intersection of quantum information and condensed matter physics. The authors discuss both zero and finite temperature properties of entanglement in interacting spin, fermion, and boson model systems, focusing on both bipartite and multipartite entanglement. They highlight the connection between entanglement and the phase diagram in equilibrium systems and the experimental testability of entanglement witnesses. In the out-of-equilibrium regime, they discuss methods for generating and manipulating entangled states using many-body Hamiltonians. The review covers various aspects of entanglement, including measures of entanglement, localizable entanglement, entanglement witnesses, and multipartite entanglement measures. It also addresses the challenges and recent progress in quantifying entanglement, particularly in the context of indistinguishable particles and the role of superselection rules. The article provides a comprehensive overview of the current state of research in this interdisciplinary field.This review article, authored by Luigi Amico, Rosario Fazio, Andreas Osterloh, and Vlatko Vedral, explores the properties of entanglement in many-body systems, a field that has seen significant growth due to the intersection of quantum information and condensed matter physics. The authors discuss both zero and finite temperature properties of entanglement in interacting spin, fermion, and boson model systems, focusing on both bipartite and multipartite entanglement. They highlight the connection between entanglement and the phase diagram in equilibrium systems and the experimental testability of entanglement witnesses. In the out-of-equilibrium regime, they discuss methods for generating and manipulating entangled states using many-body Hamiltonians. The review covers various aspects of entanglement, including measures of entanglement, localizable entanglement, entanglement witnesses, and multipartite entanglement measures. It also addresses the challenges and recent progress in quantifying entanglement, particularly in the context of indistinguishable particles and the role of superselection rules. The article provides a comprehensive overview of the current state of research in this interdisciplinary field.