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Geometric phase for an adiabatically evolving open quantum system

Quantum Physics 2007-05-23 v1

Abstract

We derive an elegant solution for a two-level system evolving adiabatically under the influence of a driving field with a time-dependent phase, which includes open system effects such as dephasing and spontaneous emission. 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 and relatively easily calculated.

Keywords

Cite

@article{arxiv.quant-ph/0406018,
  title  = {Geometric phase for an adiabatically evolving open quantum system},
  author = {Ingo Kamleitner and James D. Cresser and Barry C. Sanders},
  journal= {arXiv preprint arXiv:quant-ph/0406018},
  year   = {2007}
}

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10 pages, 0 figures