An analytical study of quantum walk through glued-tree graphs

Z.J. Li, Jingbo Wang

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)


    © 2015 IOP Publishing Ltd. In this paper, we analytically investigated the transmission properties of continuous time quantum walks through two types of glued-tree graphs. By mapping the glued-tree graphs onto a non-uniform lattice line, we obtained their bound eigen-energies, which provided a clear and quantitative understanding of the associated resonant transmission behaviours. We also observed interesting zero-mode resonant transmissions, which correspond to zero-energy bound states, for both types of glued-tree graphs with classical Markov transition matrix parameters. By changing the system parameters at the glued nodes, we are able to control the position of the resonant tunnelling peaks.
    Original languageEnglish
    Pages (from-to)1-15
    JournalJournal of Physics A: Mathematical and Theoretical
    Issue number35
    Publication statusPublished - 2015


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