Nonlinear behavior of geometric phases induced by photon pairs

Abstract

In this study, we observe the nonlinear behavior of the two-photon geometric phase for polarization states using time-correlated photons pairs. This phase manifests as a shift of two-photon interference fringes. Under certain arrangements, the geometric phase can vary nonlinearly and become very sensitive to a change in the polarization state. Moreover, it is known that the geometric phase for $N$ identically polarized photons is $N$ times larger than that for one photon. Thus, the geometric phase for two photons can become two times more sensitive to a state change. This high sensitivity to a change in the polarization can be exploited for precision measurement of small polarization variation. We evaluate the signal-to-noise ratio of the measurement scheme using the nonlinear behavior of the geometric phase under technical noise and highlight the practical advantages of this scheme.

10 pages, 10 figures

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Cited by in corpus (5)

• Quantum interferometers: principles and applications
• Observation of Entanglement-Dependent Two-Particle Holonomic Phase
• Bloch sphere representation of three-vertex geometric phases
• Observation of quantum interference as a function of Berry's phase in a complex Hadamard optical network
• Observation of nonlinear variations in three-vertex geometric phase in two-photon polarization qutrit