System Size Dependence of Entanglement in Quantum One-Dimensional Models
D. Jakubczyka and P. Jakubczyk b
aRzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
bUniversity of Rzeszów, T. Rejtana 16A, 35-959 Rzeszów, Poland
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We show that entanglement in one-dimensional spin and electron systems, with one excitation, depends only on the system size and has very simple form: in both multipartite and bipartite case. Regarding the multipartite case, we present very simple expressions for global entanglement and N-concurrence, and show that they are mutually related. In the bipartite case, we give expressions for I-concurrence and negativity, and show that they are also dependent on each other.

DOI: 10.12693/APhysPolA.132.158
PACS numbers: 03.67.Bg, 03.67.Lx, 03.65.Ud