Accurate measurement of the localization properties of electric transmission lines using the overlap amplitude
Departamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Casilla 7 D Arica, Chile
Received: 28 December 2016
Published online: 9 June 2017
We determine the localization properties of classic direct electric transmission lines by means of the overlap amplitude. The amplitude is defined as Ci,jω = 2|IiωIjω|, where Iiω is the electric current in the ith cell of the transmission line for the state with frequency ω. This definition is motivated by the concurrence Ci,jα = 2|φiαφjα|, which is a quantum correlation measure (pairwise entanglement). We distribute the inductances Lj according to three non-linear models: (a) the slowly varying potential model; (b) the Aubry-André model and (c) the Soukoulis-Economou model. The results show that the average of the powers of the overlap amplitude ⟨(Ci,jω)2q⟩ and its scaling properties may accurately characterize the localization behavior of these non-linear models. Moreover, the overlap amplitude can be used to determine the mobility edge of some non-periodic models.
Key words: Quantum Information
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2017