Geometric phase with full-wedge and half-wedge rotation in nonlinear frequency conversion

TL;DR

This paper investigates how specific rotation schemes of quasi-phase matching parameters in nonlinear crystals can generate and control geometric phases during frequency conversion, with implications for quantum information processing.

Contribution

It introduces full-wedge and half-wedge rotation schemes that suppress uncertainties in geometric phase creation during nonlinear frequency conversion.

Findings

Effective suppression of phase uncertainty with rotation schemes

Potential for precise control of geometric phase in nonlinear optics

Applications in quantum information processing

Abstract

When the quasi-phase matching (QPM) parameters of the $\chi^{(2)}$ nonlinear crystal rotate along a closed path, geometric phase will be generated in the signal and idler waves that participate in the nonlinear frequency conversion. In this paper, we study two rotation schemes, full-wedge rotation, and half-wedge rotation, of the QPM parameters in the process of fully nonlinear three-wave mixing. These two schemes can effectively suppress the uncertainty in creating the geometric phase in the nonlinear frequency conversion process when the intensity of the pump is depleted. The finding of this paper provides an avenue toward constant control of the geometric phase in nonlinear optics applications and quantum information processing.