A study on the relations between the topological parameter and entanglement

Abstract

In this Letter, 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≠n, C both approach 0 when d→+∞ 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 influences not only the critical temperature T c but also the maximum entanglement value that the system can arrive at. And we also find that the parameter d has a great influence on the ESD. © 2012 Elsevier B.V.