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
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Springer
Materia
Information diagrams Entanglement entropies Symmetric quDits Parity adapted coherent states Quantum phase transitions Many-body systems Parity adapted states
Date
2022-06-24Referencia bibliográfica
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]
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.
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