Published July 7, 2017 | Version v1
Publication

Continuous unitary transformations in two-level boson systems

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Description

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 sucha context.

Abstract

DGI FIS2005-01105 BFM2003-05316-C02-02 BFM2003-05316 FPA2003-05958

Additional details

Created:
December 4, 2022
Modified:
November 29, 2023