Non-reciprocal geometric phase in nonlinear frequency conversion

Abstract

We describe analytically and numerically the geometric phase arising from nonlinear frequency conversion and show that such a phase can be made non-reciprocal by momentum-dependent photonic transition. Such non-reciprocity is immune to the shortcomings imposed by dynamic reciprocity in Kerr and Kerr-like devices. We propose a simple and practical implementation, requiring only a single waveguide and one pump, while the geometric phase is controllable by the pump and promises robustness against fabrication errors.

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Cited by in corpus (4)

• Spectral photonic lattices with complex long-range coupling
• Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion
• Adiabatic geometric phase in fully nonlinear three-wave mixing
• Geometric phase with full-wedge and half-wedge rotation in nonlinear frequency conversion