Large-N scaling behavior of the Lipkin-Meshkov-Glick model

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dc.contributor.authorLeyvraz F.
dc.contributor.authorHeiss W.D.
dc.date.accessioned2011-05-15T16:05:18Z
dc.date.available2011-05-15T16:05:18Z
dc.date.issued2005
dc.description.abstractWe introduce a novel semiclassical approach to the Lipkin model. In this way the well-known phase transition arising at the critical value of the coupling is intuitively understood. New results-showing for strong couplings the existence of a threshold energy which separates deformed from undeformed states as well as the divergence of the density of states at the threshold energy-are explained straightforwardly and in quantitative terms by the appearance of a double well structure in a classical system corresponding to the Lipkin model. Previously unnoticed features of the eigenstates near the threshold energy are also predicted and found to hold. © 2005 The American Physical Society.
dc.description.versionArticle
dc.identifier.citationPhysical Review Letters
dc.identifier.citation95
dc.identifier.citation5
dc.identifier.issn319007
dc.identifier.other10.1103/PhysRevLett.95.050402
dc.identifier.urihttp://hdl.handle.net/10019.1/13070
dc.subjectClassical system
dc.subjectThreshold energy
dc.subjectUndeformed states
dc.subjectEigenvalues and eigenfunctions
dc.subjectEnergy absorption
dc.subjectMathematical models
dc.subjectPhase transitions
dc.titleLarge-N scaling behavior of the Lipkin-Meshkov-Glick model
dc.typeArticle
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