Exact solution of the two-axis two-spin Hamiltonian
- URL: http://arxiv.org/abs/2108.00604v2
- Date: Mon, 6 Sep 2021 00:47:13 GMT
- Title: Exact solution of the two-axis two-spin Hamiltonian
- Authors: Feng Pan, Yao-Zhong Zhang, Xiaohan Qi, Yue Liang, Yuqing Zhang and
Jerry P. Draayer
- Abstract summary: Bethe ansatz solution of the two-axis two-spin Hamiltonian is derived based on the Jordan-Schwinger boson realization of the SU(2) algebra.
It is shown that the solution of the Bethe ansatz equations can be obtained as zeros of the related extended Heine-Stieltjess.
- Score: 13.019528663019488
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Bethe ansatz solution of the two-axis two-spin Hamiltonian is derived based
on the Jordan-Schwinger boson realization of the SU(2) algebra. It is shown
that the solution of the Bethe ansatz equations can be obtained as zeros of the
related extended Heine-Stieltjes polynomials. Symmetry properties of excited
levels of the system and zeros of the related extended Heine-Stieltjes
polynomials are discussed. As an example of an application of the theory, the
two equal spin case is studied in detail, which demonstrates that the levels in
each band are symmetric with respect to the zero energy plane perpendicular to
the level diagram and that excited states are always well entangled.
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