Manifestation of classical bifurcation in the spectrum of the integrable quantum dimer

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dc.creatorAubry, S.
dc.creatorFlach, S.
dc.creatorKladko, K.
dc.creatorOlbrich, E.
dc.date1998-08-30
dc.date.accessioned2026-07-07T03:11:25Z
dc.date.available2026-07-07T03:11:25Z
dc.descriptionWe analyze the classical and quantum properties of the integrable dimer problem. The classical version exhibits exactly one bifurcation in phase space, which gives birth to permutational symmetry broken trajectories and a separatrix. The quantum analysis yields all tunneling rates (splittings) in leading order of perturbation. In the semiclassical regime the eigenvalue spectrum obtained by numerically exact diagonalization allows to conclude about the presence of a separatrix and a bifurcation in the corresponding classical model.
dc.description4 pages, 3 figures, REVTEX
dc.identifierhttps://arxiv.org/abs/cond-mat/9808332
dc.identifierhttp://arxiv.org/abs/cond-mat/9808332
dc.identifierPHYSICAL REVIEW LETTERS, 76(#10)1607-1610 MAR 4,1996
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28570
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleManifestation of classical bifurcation in the spectrum of the integrable quantum dimer
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