Microwave experiments simulating quantum search and directed transport in artificial graphene

Böhm, Julian and Bellec, Matthieu and Mortessagne, Fabrice and Kuhl, Ulrich and Barkhofen, Sonja and Gehler, Stefan and Stöckmann, Hans-Jürgen and Foulger, Iain and Gnutzmann, Sven and Tanner, Gregor (2015) Microwave experiments simulating quantum search and directed transport in artificial graphene. Physical Review Letters, 114 (11). 110501/1-110501/5. ISSN 1079-7114

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Abstract

A series of quantum search algorithms have been proposed recently providing an algebraic speedup compared to classical search algorithms from N to \sqrt{N}, where N is the number of items in the search space. In particular, devising searches on regular lattices has become popular in extending Grover’s original algorithm to spatial searching. Working in a tight-binding setup, it could be demonstrated, theoretically, that a search is possible in the physically relevant dimensions 2 and 3 if the lattice spectrum possesses Dirac points. We present here a proof of principle experiment implementing wave search algorithms and directed wave transport in a graphene lattice arrangement. The idea is based on bringing localized search states into resonance with an extended lattice state in an energy region of low spectral density—namely, at or near the Dirac point. The experiment is implemented using classical waves in a microwave setup containing weakly coupled dielectric resonators placed in a honeycomb arrangement, i.e., artificial graphene. Furthermore, we investigate the scaling behavior experimentally using linear chains.

Item Type: Article
Additional Information: ©2015 American Physical Society.
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1103/PhysRevLett.114.110501
Depositing User: Tanner, Prof Gregor
Date Deposited: 25 Sep 2017 08:41
Last Modified: 14 Oct 2017 08:30
URI: http://eprints.nottingham.ac.uk/id/eprint/46596

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