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Phys. Rev. B 81, 174506 (2010) [4 pages]

Non-Abelian geometric phases in ground-state Josephson devices

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J.-M. Pirkkalainen1,2, P. Solinas1, J. P. Pekola3, and M. Möttönen1,2,3
1Department of Applied Physics/COMP, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
2Australian Research Council Centre of Excellence for Quantum Computer Technology, School of Electrical Engineering & Telecommunications, University of New South Wales, Sydney, New South Wales 2052, Australia
3Low Temperature Laboratory, Aalto University, P.O. Box 13500, FI-00076 Aalto, Finland

Received 7 April 2010; published 5 May 2010

We present a superconducting circuit in which non-Abelian geometric transformations can be realized using an adiabatic parameter cycle. In contrast to previous proposals, we employ quantum evolution in the ground state. We propose an experiment in which the transition from non-Abelian to Abelian cycles can be observed by measuring the pumped charge as a function of the period of the cycle. Alternatively, the non-Abelian phase can be detected using a single-electron transistor working as a charge sensor.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.81.174506
DOI:
10.1103/PhysRevB.81.174506
PACS:
03.65.Vf, 85.25.Dq
 
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