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

Autor: Guerrero, Julio, Mayorgas, Alberto, Calixto, Manuel
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s11128-022-03524-7
Popis: 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 Schr\"odinger 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.
Comment: Latex file, 15 pages, 17 figures. arXiv admin note: text overlap with arXiv:2104.10581
Databáze: arXiv