Rigorous Results for the Ground States of the Spin-2 Bose-Hubbard Model.

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ID: 72146
2019
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Abstract
We present rigorous and universal results for the ground states of the f=2 spinor Bose-Hubbard model. The model includes three two-body on-site interaction terms, two of which are spin dependent while the other one is spin independent. We prove that, depending only on the coefficients of the two spin-dependent terms, the ground state exhibits maximum or minimum total spin or SU(5) ferromagnetism. Exact ground-state degeneracies and the forms of ground-state wave function are also determined in each case. All these results are valid regardless of dimension, lattice structure, or particle number. Our approach takes advantage of the symmetry of the Hamiltonian and employs mathematical tools including the Perron-Frobenius theorem and the Lie algebra so(5).
Reference Key
yang2019rigorousphysical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Yang, Hong;Katsura, Hosho;
Journal physical review letters
Year 2019
DOI
10.1103/PhysRevLett.122.053401
URL
Keywords
hypergeometric functions lie algebra representations orthogonal polynomials stochastic duality

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