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

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.

Latex file, 15 pages, 17 figures. arXiv admin note: text overlap with arXiv:2104.10581

References in corpus (4)

• The structure of multidimensional entanglement in multipartite systems
• Bounds on general entropy measures
• Parity-symmetry-adapted coherent states and entanglement in quantum phase transitions of vibron models
• Role of mixed permutation symmetry sectors in the thermodynamic limit of critical three-level Lipkin-Meshkov-Glick atom models

Cited by in corpus (1)

• Schmidt decomposition of parity adapted coherent states for symmetric multi-quDits