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Phys. Rev. A 70, 044103 (2004) [4 pages]

Geometric phase for an adiabatically evolving open quantum system

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Ingo Kamleitner1, James D. Cresser1,2, and Barry C. Sanders1,3
1Australian Centre of Excellence for Quantum Computer Technology, Macquarie University, Sydney, New South Wales 2109, Australia
2Department of Physics, Macquarie University, Sydney, New South Wales 2109, Australia
3Institute for Quantum Information Science, University of Calgary, Alberta, Canada T2N 1N4

Received 2 June 2004; revised 2 August 2004; published 22 October 2004

We derive a solution for a two-level system evolving adiabatically under the influence of a driving field, which includes open system effects. This solution, which is obtained by working in the representation corresponding to the eigenstates of the time-dependent Hermitian Hamiltonian, enables the dynamic and geometric phases of the evolving density matrix to be separated. The dynamic phase can be canceled in the limit of weak coupling to the environment, thereby allowing the geometric phase to be readily extracted both mathematically and operationally.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.044103
DOI:
10.1103/PhysRevA.70.044103
PACS:
03.65.Vf, 42.50.Lc
 
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