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arxiv: cond-mat/0408624 · v2 · submitted 2004-08-30 · ❄️ cond-mat.stat-mech · nucl-th· quant-ph

Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model

classification ❄️ cond-mat.stat-mech nucl-thquant-ph
keywords energyexponentsfinite-sizegroundlipkin-meshkov-glickmodelscalingstate
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We study the ground state properties of the critical Lipkin-Meshkov-Glick model. Using the Holstein-Primakoff boson representation, and the continuous unitary transformation technique, we compute explicitly the finite-size scaling exponents for the energy gap, the ground state energy, the magnetization, and the spin-spin correlation functions. Finally, we discuss the behavior of the two-spin entanglement in the vicinity of the phase transition.

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    Superradiant first-order transitions in Dicke models with interacting matter are folds of one equation of state from the matter's magnetization response rather than crossings of disjoint sheets.