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Analytic theory of topological integrable systems: Exact quantization (曹俊鹏研究员, 中科院物理所)
发布时间: 2020-12-28 浏览次数: 117

【报告题目】Analytic theory of topological integrable systems: Exact quantization

【报告人】曹俊鹏 研究员,中科院物理所

【时间】2020.12.31  上午 9: 30-11: 30

【地点】科技楼, 29#-414

【报告摘要】A novel Bethe ansatz scheme is proposed to calculate physical properties of quantum integrable systems without U(1) symmetry. As an example, the antiperiodic XXZ spin chain, a typical correlated many-body system embedded in a topological manifold, is examined. Conserved “momentum” and “charge” operators are constructed despite the absence of translational invariance and U(1) symmetry. The ground state energy and elementary excitations are derived exactly. It is found that two intrinsic fractional (one half) zero modes accounting for the double degeneracy exist in the eigenstates. The elementary excitations show quite a different picture from that of a periodic chain. This method can be applied to other quantum integrable models either with or without U(1) symmetry.

【邀请人】高先龙 教授

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