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Physics Letters B

Ground state phase transitions in multilevel extensions of the Lipkin-Meshkov-Glick model

Robert Gilmore, D.H. Feng

Published Aug 1, 1979• 15 citations
Publisher
DOI
10.1016/0370-2693(79)90566-5

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SCALING BEHAVIOR OF THE GROUND-STATE FIDELITY IN THE LIPKIN–MESHKOV–GLICK MODEL

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In this paper, we study the scaling behavior of the ground-state logarithmic fidelity in the Lipkin–Meshkov–Glick (LMG) model. We find that the logarithmic fidelity shows a different scaling behavior in different phases of the model. It is an extensive quantity in the model's symmetry-broken phase while it behaves intensively in the polarized phase. Moreover, we also find that the logarithmic fidelity shows a singular behavior around the vicinity of the critical point and the critical exponent of the correlation length is also obtained numerically.

International Journal of Modern Physics B•Oct 15, 2012•7 citations
In this paper, we study the scaling behavior of the ground-state logarithmic fidelity in the Lipkin–Meshkov–Glick (LMG) model. We find that the logarithmic fidelity shows a different scaling behavior in different phases of the model. It is an extensive quantity in the model's symmetry-broken phase while it behaves intensively in the polarized phase. Moreover, we also find that the logarithmic fidelity shows a singular behavior around the vicinity of the critical point and the critical exponent of the correlation length is also obtained numerically.