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Phys. Rev. Lett. 92, 020402 (2004) [4 pages]

Spin-1/2 Geometric Phase Driven by Decohering Quantum Fields

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A. Carollo1,3,*, I. Fuentes-Guridi2, M. França Santos1, and V. Vedral1
1Optics Section, The Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom
2Perimeter Institute, 35 King Street North Waterloo, Ontario, Canada N2J 2W9
3INFM, Unità Di Ricerca di Milano, via Bramante 65, I-26013, Crema (CR), Italy

Received 25 June 2003; published 15 January 2004

We calculate the geometric phase of a spin-1/2 system driven by one and two mode quantum fields subject to decoherence. Using the quantum jump approach, we show that the corrections to the phase in the no-jump trajectory are different when considering adiabatic and nonadiabatic evolutions. We discuss the implications of our results from both fundamental as well as quantum computational perspectives.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.020402
DOI:
10.1103/PhysRevLett.92.020402
PACS:
03.65.Vf, 03.65.Yz

*Also at Centre for Quantum Computation, DAMTP, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.