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Continuous unitary transformations in two-level boson systems

AuthorsDusuel, S.; Vidal, Julien; Arias, José María; Dukelsky, Jorge ; García-Ramos, J.E
Issue Date30-Dec-2005
PublisherAmerican Physical Society
CitationPhysical Review C - Nuclear Physics 72: 064332 (2005)
AbstractTwo-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. © 2005 The American Physical Society.
Description17 págs.; 16 figs.; 1 tab.; 3 apéndices ; PACS number(s): 21.60.Fw, 21.10.Re, 05.10.Cc, 75.40.Cx
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevC.72.064332
Identifiersdoi: 10.1103/PhysRevC.72.064332
issn: 0556-2813
Appears in Collections:(CFMAC-IEM) Artículos
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