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DY: Fachverband Dynamik und Statistische Physik
DY 58: Poster: Nonlinear Dynamics; Pattern Formation; Networks; Delay Systems; Synchronization
DY 58.13: Poster
Donnerstag, 19. März 2020, 15:00–18:00, P1C
Isospectral reductions and pretty good state transfer — Malte Röntgen1, Nikolaos Palaiodimopoulos2, •Christian Morfonios1, Ioannis Brouzos2, Maxim Pyzh1, Fotios Diakonos2, and Peter Schmelcher1 — 1Centre for Optical Quantum Technologies, University of Hamburg — 2Department of Physics, University of Athens
Pretty good state transfer (PGST) denotes the transfer of a single site excitation with fidelity arbitrarily close to unity at a finite transfer time in a network system. It was recently shown that PGST generally arises in a network under certain conditions on its characteristic polynomial factors corresponding to eigenvectors with opposite parity on the input and target sites. We here combine this result with isospectral reductions of networks over site pairs, exploiting a dimensionally reduced form of the associated Hamiltonians to facilitate the design of PGST. We present a variety of setups thus made to support PGST and further show how, relying on the concept of compact localized states, the obtained networks can be additionally equipped with storage of input and target states.