We study spontaneous four-wave mixing in waveguide arrays supporting topologically protected modes. We clarify the mechanisms associated with the topological pro-tection of the quantum correlations of the generated photon pairs.
Recent works indicate that the propagation of quantum states can be protected by exploiting topology in silicon integrated waveguide arrays. More recently, it has been suggested that topologically protected guided modes may also play an important role in the generation of photon pairs via spontaneous four-wave mixing SFWM, for path correlations of the generated photons in these systems seem to be robust with respect to fabrication imperfections. In this work we investigate the effects of disorder on SFWM efficiency and quantum correlations in topologically protected guided modes in waveguide arrays.
We present a theoretical study on the generation of photon pairs via spontaneous four-wave mixing in a waveguide array supporting topologically protected guided modes. Following a statistical approach, we introduce incremental levels of disorder in the waveguide positions and analyze the effects in terms of photon path correlations and generation efficiency. For moderate level of disorder, we show that the generated two-photon state as well as the generation rate is preserved. However, we find that for higher level of disorder quantum correlations are significantly affected, despite the fact that the linear properties of the topological mode are still protected.
The efficient generation of non-classical light at the micro- and nanoscale is central to the development of quantum technologies. Integrated photonic structures offer new opportunities for increasing the generation efficiency and control of the quantum state of non-classical light. Recently, photonic structures based on topology conservation have been proposed as platforms to overcome issues associated with disorder and fabrication imperfections. For instance, it has been suggested that topological edge states can be exploited for the generation of photon pairs having robust spectral correlations [1]. More recently, the effect of topology on path correlations of photon pairs generated by spontaneous four-wave mixing (SFWM) in waveguide arrays has also been investigated [2].