Abstract
Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities can be achieved by realizing topological states of quantum light. This area, however, remains largely uncharted due to the number of experimental challenges. Here, we take an alternative route and design a classical structure based on topolectrical circuits which serves as a simulator of a quantum-optical one-dimensional system featuring the topological state of two photons induced by the effective photon-photon interaction. Employing the correspondence between the eigenstates of the original problem and circuit modes, we use the designed simulator to extract the frequencies of bulk and edge two-photon bound states and evaluate the topological invariant directly from the measurements. Furthermore, we perform a reconstruction of the two-photon probability distribution for the topological state associated with one of the circuit eigenmodes.
Highlights
Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light
Local photon–photon interactions give rise to exotic bound states of photon pairs persisting even in the case of repulsive nonlinearity[31,32] on which we focus on
To explore the physics of repulsively bound photon pairs and their edge states, we notice that the original one-dimensional twoparticle problem is described by the same discrete wave equation as a two-dimensional tight-binding system
Summary
Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities can be achieved by realizing topological states of quantum light. This area, remains largely uncharted due to the number of experimental challenges. In this model, local photon–photon interactions give rise to exotic bound states of photon pairs persisting even in the case of repulsive nonlinearity[31,32] on which we focus on
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