Geometric Phase in SU(N) Interferometry
An interferometric scheme to study Abelian geometric phase shift over the manifold SU(N)/SU(N-1) is presented.
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Publications and source records attributed to Hubert de Guise.
An interferometric scheme to study Abelian geometric phase shift over the manifold SU(N)/SU(N-1) is presented.
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.