4 research outputs found
Transport in deformed centrosymmetric networks
Centrosymmetry often mediates Perfect State Transfer (PST) in various complex
systems ranging from quantum wires to photosynthetic networks. We introduce the
Deformed Centrosymmetric Ensemble (DCE) of random matrices, , where is centrosymmetric while is
skew-centrosymmetric. The relative strength of the prompts the system
size scaling of the control parameter as . We
propose two quantities, and , quantifying centro-
and skewcentro-symmetry, respectively, exhibiting second order phase
transitions at and . In
addition, DCE posses an ergodic transition at . Thus
equipped with a precise control of the extent of centrosymmetry in DCE, we
study the manifestation of on the transport properties of complex
networks. We propose that such random networks can be constructed using the
eigenvectors of and establish that the maximum transfer fidelity,
, is equivalent to the degree of centrosymmetry, .Comment: 13 pages, 5 figure