Machine learning of knot topology in non-Hermitian band braids
Jiangzhi Chen,
Zi Wang,
Yu-Tao Tan
et al.
Abstract:The deep connection among braids, knots and topological physics has provided valuable insights into studying topological states in various physical systems. However, identifying distinct braid groups and knot topology embedded in non-Hermitian systems is challenging and requires significant efforts. Here, we demonstrate that an unsupervised learning with the representation basis of su(n) Lie algebra on n-fold extended non-Hermitian bands can fully classify braid group and knot topology therein, without requiri… Show more
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