Internal parity symmetry and degeneracy of Bethe Ansatz strings in the isotropic heptagonal magnetic ring

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• 作者：J. Milewski ; B. Lulek ; T. Lulek ; M. 艁abuz ; R. Stagraczy艅ski
• 关键词：Heisenberg magnet ; Galois extensions ; Rigged string configurations ; Arithmetic qubit
• 刊名：Physica B
• 出版年：1 February, 2014
• 年：2014
• 卷：434
• 期：Complete
• 页码：14-20
• 全文大小：417 K

文摘

The exact Bethe eigenfunctions for the heptagonal ring within the isotropic XXX model exhibit a doubly degenerated energy level in the three-deviation sector at the centre of the Brillouin zone. We demonstrate an explicit construction of these eigenfunctions by use of algebraic Bethe Ansatz, and point out a relation of degeneracy to parity conservation, applied to the configuration of strings for these eigenfunctions. Namely, the internal structure of the eigenfunctions (the 2-string and the 1-string, with opposite quasimomenta) admits generation of two mutually orthogonal eigenfunctions due to the fact that the strings which differ by their length are distinguishable objects.