Algebraic equivalence between certain models for superfluid--insulator transition
Amico, Luigi
arXiv, 0002410 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-02-25
Classification:  Condensed Matter - Statistical Mechanics,  Condensed Matter - Mesoscale and Nanoscale Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0002410,
     author = {Amico, Luigi},
     title = {Algebraic equivalence between certain models for superfluid--insulator
  transition},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002410}
}

Amico, Luigi. Algebraic equivalence between certain models for superfluid--insulator
  transition. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002410/