Algebraic equivalence between certain models for superfluid--insulator transition

Details Algebraic equivalence between certain models for superfluid--insulator transition Algebraic equivalence between certain models for superfluid--insulator transition

2000-02-25

arxiv.org/abs/cond-mat/0002410v3

Mod.Phys.Lett. B14 (2000) 759

Physics

Condensed Matter

Statistical Mechanics

5 pages, revtex

Scientific paper

10.1142/S0217984900000963

Algebraic contraction is proposed to realize mappings between models Hamiltonians. This transformation contracts the algebra of the degrees of freedom underlying the Hamiltonian. The rigorous mapping between the anisotropic $XXZ$ Heisenberg model, the Quantum Phase Model, and the Bose Hubbard Model is established as the contractions of the algebra $u(2)$ underlying the dynamics of the $XXZ$ Heisenberg model.

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