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We report on the demonstration of an effective, nonlinearity-inducednon-reciprocal behavior in a single non-magnetic multi-mode Taiji resonator.Non-reciprocity is achieved by a combination of an intensity-dependentrefractive index and of a broken spatial reflection symmetry. Continuous wavepower dependent transmission experiments show non-reciprocity and adirection-dependent optical bistability loop. These can be explained in termsof the unidirectional mode coupling that causes an asymmetric power enhancementin the resonator. The observations are quantitatively reproduced by a numericalfinite-element theory and physically explained by an analytical coupled-modetheory. This nonlinear Taiji resonator has the potential of being the buildingblock of large arrays where to study topological and/or non-Hermitian physics.This represents an important step towards the miniaturization of nonreciprocalelements for photonic integrated networks.

Nonlinearity-induced reciprocity breaking in a single non-magnetic Taiji resonator