Algebraic equivalence between certain models for superfluid--insulator transition

Luigi Amico

doi:10.1142/S0217984900000963

Algebraic equivalence between certain models for superfluid--insulator transition

统计力学 2009-10-31 v3 介观与纳米尺度物理高能物理 - 理论数学物理 math.MP

作者: Luigi Amico

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摘要

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.

关键词

quantum algebra hamiltonian mechanics integrable hamiltonian systems

引用

@article{arxiv.cond-mat/0002410,
  title  = {Algebraic equivalence between certain models for superfluid--insulator transition},
  author = {Luigi Amico},
  journal= {arXiv preprint arXiv:cond-mat/0002410},
  year   = {2009}
}

备注

5 pages, revtex

Algebraic equivalence between certain models for superfluid--insulator transition

摘要

关键词

引用

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