Algebraic equivalence between certain models for superfluid-insulator transition (Q2731764)
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scientific article; zbMATH DE number 1626447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic equivalence between certain models for superfluid-insulator transition |
scientific article; zbMATH DE number 1626447 |
Statements
7 November 2001
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algebraic contraction
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anisotropic \(XXZ\) Heisenberg model
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algebra \(u(2)\)
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quantum phase model
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Bose Hubbard model
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Algebraic equivalence between certain models for superfluid-insulator transition (English)
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Algebraic contraction is proposed to realize mappings between Hamiltonian models. 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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