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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Information diagramsEntanglement entropiesSymmetric quDitsParity adapted coherent statesQuantum phase transitionsMany-body systemsParity adapted states
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]
SponsorshipSpanish Government PGC2018-097831-B-I00; Junta de Andalucia SOMM17/6105/UGR UHU-1262561 FQM-381 FEDER/UJA-1381026; Spanish MIU FPU19/06376
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.