Geometric phase for an adiabatically evolving open quantum system

Ingo Kamleitner*, James D. Cresser, Barry C. Sanders

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    27 Citations (Scopus)

    Abstract

    A solution for a two-level system evolving under the influence of a driving field that includes open system effects, was derived. The solution was obtained by working in the representation corresponding to the eigenstates of the time-dependent hermitian Hamiltonian. It was observed that the solution enabled the separation of the dynamic and geometrc phases of the evolving density atrix. It was also observed that the dynamic phase could be canceled in the limite of weak couplling to the environment allowing the geometric phase to be extracted both mathematically and operationally.

    Original languageEnglish
    Article number044103
    Pages (from-to)044103-1-044103-4
    Number of pages4
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume70
    Issue number4
    DOIs
    Publication statusPublished - 2004

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