Geometric Phase in SU(N) Interferometry

Abstract

An interferometric scheme to study Abelian geometric phase shift over the manifold SU(N)/SU(N-1) is presented.

14 pages, 1 figure, presented at the Doppler Institute-CRM meeting, (Prague, Czech Republic, June 18-22 2000)

References in corpus (3)

• A generalized Pancharatnam geometric phase formula for three level systems
• Representations of the Weyl group and Wigner functions for SU(3)
• Geometric Phase of Three-level Systems in Interferometry

Cited by in corpus (4)

• Realization of arbitrary discrete unitary transformations using spatial and internal modes of light
• Entanglement gauge and the non-Abelian geometric phase with two photonic qubits
• Interferometrically estimating a quadratic form for any immanant of a matrix and its permutations
• Generalized Type II Fusion of Cluster States