Geometric Phase of Three-level Systems in Interferometry

Details Geometric Phase of Three-level Systems in Interferometry Geometric Phase of Three-level Systems in Interferometry

2000-10-19

arxiv.org/abs/quant-ph/0010068v2

Phys. Rev. Lett. 86 (2001), 369

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.86.369

We present the first scheme for producing and measuring an Abelian geometric phase shift in a three-level system where states are invariant under a non-Abelian group. In contrast to existing experiments and proposals for experiments, based on U(1)-invariant states, our scheme geodesically evolves U(2)-invariant states in a four-dimensional SU(3)/U(2) space and is physically realized via a three-channel optical interferometer.

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