Non-reciprocal coupling induced chaotic states in nonlinear optical model

We study an optical model including both non-reciprocal couplings and third-order nonlinearity. We find that such a model can generate chaotic states, with various characteristics such as intermittent chaos and asymmetric chaotic patterns. Moreover, after considering our model in an experimentally-feasible platform of coherent Raman scattering, the nonlinear coefficient becomes frequency-dependent, which can lead to unique consequences, including asymmetric localization of covariant Lyapunov vectors and the transition between low-dimensional chaos and spatiotemporal chaos. The generated chaotic frequency sidebands are featured by a broad frequency spectrum and notable asymmetry, offering significant opportunity for advancing quantum chaos theory and finding potential applications in light detection and ranging as well as Raman spectroscopy.