A study on the relations between the topological parameter and entanglement

Sun, Chunfang; Xue, Kang; Wang, Gangcheng; Wu, Chunfeng

doi:10.1016/j.physleta.2012.09.043

A study on the relations between the topological parameter and entanglement

Jan, 2010

7 pages

Published in:

Phys.Lett.A 376 (2012) 2873-2879

e-Print:

1001.4587 [quant-ph]

DOI:

10.1016/j.physleta.2012.09.043

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Abstract: (arXiv)

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.

Note:

8 pages, 5 figures

03.67.Lx
03.65.Ud
02.10.Kn
Topological parameter
Entanglement
Temperley-Lieb algebra
Yang-Baxter system
algebra: representation
entanglement
density matrix

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