Continuous unitary transformations in two-level boson systems

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dc.creatorDusuel, S.
dc.creatorVidal, J.
dc.creatorArias, J. M.
dc.creatorDukelsky, J.
dc.creatorGarcia-Ramos, J. E.
dc.date2005-09-28
dc.date2006-01-02
dc.date.accessioned2026-07-07T06:41:53Z
dc.date.available2026-07-07T06:41:53Z
dc.descriptionTwo-level boson systems displaying a quantum phase transition from a spherical (symmetric) to a deformed (broken) phase are studied. A formalism to diagonalize Hamiltonians with $O(2L+1)$ symmetry for large number of bosons is worked out. Analytical results beyond the simple mean-field treatment are deduced by using the continuous unitary transformations technique. In this scheme, a 1/N expansion for different observables is proposed and allows one to compute the finite-size scaling exponents at the critical point. Analytical and numerical results are compared and reveal the power of the present approach to compute the finite-size corrections in such a context.
dc.description27 pages, 16 figures, published version
dc.identifierhttps://arxiv.org/abs/cond-mat/0509721
dc.identifierhttp://arxiv.org/abs/cond-mat/0509721
dc.identifierPhys. Rev. C 72, 064332 (2005)
dc.identifierdoi:10.1103/PhysRevC.72.064332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101834
dc.subjectStatistical Mechanics
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleContinuous unitary transformations in two-level boson systems
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