Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-09-28
Phys. Rev. C 72, 064332 (2005)
Physics
Condensed Matter
Statistical Mechanics
27 pages, 16 figures, published version
Scientific paper
10.1103/PhysRevC.72.064332
Two-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.
Arias José M.
Dukelsky Jorge
Dusuel S.
Garcia-Ramos José-Enrique
Vidal Jordi
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