Observation of nonlinear variations in three-vertex geometric phase in two-photon polarization qutrit

Abstract

We experimentally observed nonlinear variations in the three-vertex geometric phase in a two- photon polarization qutrit. The three-vertex geometric phase is defined by three quantum states, which generally forms a three-state (qutrit) system. By changing one of the three constituent states, we observed two rapid increases in the three-vertex geometric phase. The observed variations are inherent in a three-state system and cannot be observed in a two-state system. We used a time-reversed two-photon interferometer to measure the geometric phase with much more intense signals than those of a typical two-photon interferometer.

6 pages, 5 figures

References in corpus (5)

• Quantum geometric phase in Majorana's stellar representation: Mapping onto a many-body Aharonov-Bohm phase
• Representation of Berry phase by the trajectories of Majorana stars
• Experimental Realization of Polarization Qutrits from Non-Maximally Entangled States
• Geometrical aspects of weak measurements and quantum erasers
• Complete solution for unambiguous discrimination of three pure states with real inner products