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arXiv · 1001.4587

A study on the relations between the topological parameter and entanglement

Chunfang Sun·Kang Xue·Gangcheng Wang·Chunfeng Wu
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Abstract

In this paper, some relations between the topological parameter $d$ and concurrences of the projective entangled states have been presented. It is shown that for the case with $d=n$, all the projective entangled states of two $n$-dimensional quantum systems are the maximally entangled states (i.e. $C=1$). And for another case with $d\neq n$, $C$ both approach $0$ when $d\rightarrow +\infty$ for $n=2$ and $3$. Then we study the thermal entanglement and the entanglement sudden death (ESD) for a kind of Yang-Baxter Hamiltonian. It is found that the parameter $d$ not only influences the critical temperature $T_{c}$, but also can influence the maximum entanglement value at which the system can arrive at. And we also find that the parameter $d$ has a great influence on the ESD.

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Chunfang Sun, Kang Xue, Gangcheng Wang, Chunfeng Wu. 2010-01-26. A study on the relations between the topological parameter and entanglement. https://doi.org/10.1016/j.physleta.2012.09.043

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