Information diagrams in the study of entanglement in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin–Meshkov–Glick D-level atom models Guerrero, Julio Mayorgas Reyes, Alberto Calixto Molina, Manuel Information diagrams Entanglement entropies Symmetric quDits Parity adapted coherent states Quantum phase transitions Many-body systems Parity adapted states In this paper we pursue the use of information measures (in particular, information diagrams) for the study of entanglement in symmetric multi-quDit systems. We use generalizations to U(D) of spin U(2) coherent states and their adaptation to parity (multicomponent Schrödinger cats), and we analyse one- and two-quDit reduced density matrices. We use these correlation measures to characterize quantum phase transitions occurring in Lipkin–Meshkov–Glick models of D = 3-level identical atoms, and we propose the rank of the corresponding reduced density matrix as a discrete order parameter. 2022-07-13T08:54:39Z 2022-07-13T08:54:39Z 2022-06-24 journal article Guerrero, J., Mayorgas, A. & Calixto, M. Information diagrams in the study of entanglement in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin–Meshkov–Glick D-level atom models. Quantum Inf Process 21, 223 (2022). [https://doi.org/10.1007/s11128-022-03524-7] http://hdl.handle.net/10481/75984 10.1007/s11128-022-03524-7 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer