Quantum Optics and Laser Science, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.
Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, NSW 2006, Australia.
Phys Rev Lett. 2013 Nov 27;111(22):220402. doi: 10.1103/PhysRevLett.111.220402. Epub 2013 Nov 26.
Defects in topologically ordered models have interesting properties that are reminiscent of the anyonic excitations of the models themselves. For example, dislocations in the toric code model are known as twists and possess properties that are analogous to Ising anyons. We strengthen this analogy by using the topological entanglement entropy as a diagnostic tool to identify properties of both defects and excitations in the toric code. Specifically, we show, through explicit calculation, that the toric code model including twists and dyon excitations has the same quantum dimensions, the same total quantum dimension, and the same fusion rules as an Ising anyon model.
拓扑有序模型中的缺陷具有有趣的性质，让人联想到模型本身的任意子激发。例如，扭错(twist)是托里码模型中的一种缺陷，它具有类似于伊辛任意子的性质。我们使用拓扑纠缠熵作为诊断工具，来识别托里码中缺陷和激发的性质，从而加强了这种类比。具体来说，我们通过显式计算表明，包含扭错和正反单激发的托里码模型具有与伊辛任意子模型相同的量子维度、总量子维度和融合规则。
