@misc{10481/75984, year = {2022}, month = {6}, url = {http://hdl.handle.net/10481/75984}, abstract = {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.}, organization = {Spanish Government PGC2018-097831-B-I00}, organization = {Junta de Andalucia SOMM17/6105/UGR UHU-1262561 FQM-381 FEDER/UJA-1381026}, organization = {Spanish MIU FPU19/06376}, publisher = {Springer}, keywords = {Information diagrams}, keywords = {Entanglement entropies}, keywords = {Symmetric quDits}, keywords = {Parity adapted coherent states}, keywords = {Quantum phase transitions}, keywords = {Many-body systems}, keywords = {Parity adapted states}, title = {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}, doi = {10.1007/s11128-022-03524-7}, author = {Guerrero, Julio and Mayorgas Reyes, Alberto and Calixto Molina, Manuel}, }