Geodesic
Applications of Graph Spectra in Quantum Physics
Zbornik radova, Tome 14 (2011) no. 22, p. 85 .

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Graph spectra are closely related to many applications in quantum physics: a network of quantum particles with fixed couplings can be modelled by an underlying graph, with the Hamiltonian of such system approximated by the adjacency matrix of that graph, and the energy levels and states represented by the eigenvalues and eigenvectors of the adjacency matrix. From that viewpoint, quite a few quantum physics problems can be posed in terms of the spectral properties of the graph. In this chapter we survey one particular problem which received a lot of attention recently: the existence of {\em perfect state transfer} in the network of spin-1/2 particles.
Classification : 0502 05C50 81P68
Keywords: quantum spin system, perfect state transfer 
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Dragan Stevanović. Applications of Graph Spectra in Quantum Physics. Zbornik radova, Tome 14 (2011) no. 22, p. 85 . http://geodesic.mathdoc.fr/item/ZR_2011_14_22_a3/