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arXiv · 1807.07882

Strongly correlated photon transport in nonlinear photonic lattice with disorder: Probing signatures of the localization transition

Tian Feng See·V. M. Bastidas·Jirawat Tangpanitanon·Dimitris G. Angelakis
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Abstract

We study the transport of few-photon states in an open disordered nonlinear photonic lattice. More specifically, we consider a waveguide quantum electrodynamics (QED) setup where photons are scattered from a chain of nonlinear resonators with onsite Bose-Hubbard interaction in the presence of an incommensurate potential. Applying our recently developed diagrammatic technique that represents scattering matrix (S-matrix) with scattering diagrams and associated propagators, we compute the two-photon transmission probability and show that it carries signatures of the underlying many-body localization transition of the system. We compare the calculated probability to the participation ratio of the eigenstates and find close agreement for a range of interaction strengths. We analyze the robustness of the transmission signatures against local dissipation and briefly discuss possible implementation using current superconducting circuit technology.

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Tian Feng See, V. M. Bastidas, Jirawat Tangpanitanon, Dimitris G. Angelakis. 2018-07-20. Strongly correlated photon transport in nonlinear photonic lattice with disorder: Probing signatures of the localization transition. https://doi.org/10.1103/physreva.99.033835

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