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Phys. Rev. Lett. 90, 160402 (2003) [4 pages]

Geometric Phase in Open Systems

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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 Palermo, via Archirafi 36, 90123 Palermo, Italy

Received 27 November 2002; published 23 April 2003

We calculate the geometric phase associated with the evolution of a system subjected to decoherence through a quantum-jump approach. The method is general and can be applied to many different physical systems. As examples, two main sources of decoherence are considered: dephasing and spontaneous decay. We show that the geometric phase is completely insensitive to the former, i.e., it is independent of the number of jumps determined by the dephasing operator.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.160402
DOI:
10.1103/PhysRevLett.90.160402
PACS:
03.65.Vf, 03.65.Yz