Dresden 2020 – scientific programme

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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

Thursday, March 19, 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.