Abstract
We study theoretically the evolution of entangled non-Gaussian two-photon states in disordered topological lattices. Specifically, we consider spatially entangled two-photon states, modulated by Laguerre polynomials up to the 3rd order, which feature ring-shaped spatial and spectral correlation patterns. Such states are discrete analogs of photon-subtracted squeezed states, which are ubiquitous in optical quantum information processing or sensing applications. We find that, in general, a higher degree of entanglement coincides with a loss of topological protection against disorder, this is in line with previous results for Gaussian two-photon states. However, we identify a particular regime in the parameter space of the considered non-Gaussian states, where the situation is reversed and an increase of entanglement can be beneficial for the transport of two-photon quantum states through disordered regions.
Highlights
In condensed matter physics, topological insulators (TIs) are two-dimensional structures that support singleparticle bound states strictly localized at the edges of the system [1]
In contrast to two-photon Gaussian states, for non-Gaussian entangled states, we have identified a regime in parameter space where increasing the amount of entanglement becomes beneficial for the transport of the states
We have shown that non-Gaussian entangled two-photon states can be topologically protected, provided their joint-spectral correlation function is well-confined to the topological window of protection
Summary
Konrad Tschernig1,2,∗ , Rosario Lo Franco , Misha Ivanov1,2,4 , Miguel A Bandres , Kurt Busch and Armando Perez-Leija1,2,∗
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