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International Journal of Quantum Information

The Yangian symmetry for three-spin-1/2 and four-spin-1/2 Heisenberg XXX models

Ying Liu, Kang Xue, Gangcheng Wang, Бо Лю, Chunfang Sun

Published Feb 1, 2014• 0 citations

Abstract

In this paper, we investigate Yangian symmetry for the three-spin-1/2 and four-spin-1/2 Heisenberg XXX models. Applying Yangian Y(sl(2)) theory to three-spin-1/2 and four-spin-1/2 systems, we construct Yangian Y(sl(2)) realizations for these systems. We show that these Yangian realizations can be used to describe three-spin-1/2 and four-spin-1/2 Heisenberg XXX models. The Yangian operators as shift operators are also studied in this paper.

DOI: 10.1142/s0219749914500063

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