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The Thermodynamical Limit of the Lipkin-Meshkov-Glick Model

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arxiv cond-mat/0703490 v2 pith:2QOTAZKW submitted 2007-03-19 cond-mat.stat-mech nucl-thquant-ph

P. Ribeiro , J. Vidal , R. Mosseri This is my paper · ORCID
classification cond-mat.stat-mechnucl-thquant-ph
keywords limitlipkin-meshkov-glickmodelthermodynamicalanalyziscomputedifferentdistinguishes
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A method based on the analyzis of the Majorana polynomial roots is introduced to compute the spectrum of the Lipkin-Meshkov-Glick model in the thermodynamical limit. A rich structure made of four qualitatively different regions is revealed in the parameter space whereas the ground state study only distinguishes between two phases.

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Cited by 1 Pith paper

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  1. Fundamental Scaling Limit in Critical Quantum Metrology

    quant-ph 2025-06 conditional novelty 7.0 of 10

    For a squeezed bosonic sensor, fixed winding number n caps QFI at T^{4n+6}, while letting n grow with time attains the optimal exponential law F ~ e^{ΓωT} with Γ≈0.9745 via phase-dependent on-off control.

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