Abstract
Recently, it was 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 review, and as a first step towards the implementation of our scheme, we analyze 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.
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Acknowledgments
G. P. gratefully acknowledges financial support from PICT2014-1543 Grant and Raices programme.
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This article is part of the Topical Collection on Advances in the science of light.
Guest Edited by Jelena Radovanovic, Milutin Stepić, Mikhail Sumetsky, Mauro Pereira and Dragan Ind**.
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Puentes, G. Quantum walk topology and spontaneous parametric down conversion. Opt Quant Electron 48, 145 (2016). https://doi.org/10.1007/s11082-016-0410-8
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DOI: https://doi.org/10.1007/s11082-016-0410-8