Quantum Walk Topology and Spontaneous Parametric Down Conversion
arXiv:1510.03089 · doi:10.1364/JOSAB.33.000461
Abstract
In a recent detailed research program we proposed to study the complex physics of topological phases by an all optical implementation of a discrete-time quantum walk. The main novel ingredient proposed for this study is the use of non-linear parametric amplifiers in the network which could in turn be used to emulate intra-atomic interactions and thus analyze many-body effects in topological phases even when using light as the quantum walker. In this paper, and as a first step towards the implementation of our scheme, we analize the interplay between quantum walk lattice topology and spatial correlations of bi-photons produced by spontaneous parametric down-conversion. We also describe different detection methods suitable for our proposed experimental scheme.
7 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1409.1273
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