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Phys. Rev. A 75, 042319 (2007) [11 pages]

Perfect state transfer in networks of arbitrary topology and coupling configuration

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V. Kostak1, G. M. Nikolopoulos2,*, and I. Jex1
1Department of Physics, FJFI ČVUT, Břehová 7, 115 19 Praha 1, Staré Město, Czech Republic
2Institut für Angewandte Physik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

Received 30 November 2006; published 18 April 2007

A general formalism of the problem of perfect state transfer is presented. We show that there are infinitely many Hamiltonians that may provide a solution to this problem. In a first attempt to give a classification of them we investigate their possible forms and the related dynamics during the transfer. Finally, we show how the present formalism can be used for the engineering of perfect quantum wires of various topologies and coupling configurations.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.042319
DOI:
10.1103/PhysRevA.75.042319
PACS:
03.67.Hk, 05.60.Gg

*Present address: Institute of Electronic Structure and Laser, FORTH, P.O. Box 1527, GR-71110 Heraklion, Crete, Greece.

 
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