Analytic Properties of Two-Photon Scattering Matrix in Integrated Quantum Systems Determined by the Cluster Decomposition Principle

Shanshan Xu, Eden Rephaeli, and Shanhui Fan

Phys. Rev. Lett. 111, 223602 – Published 27 November 2013

Abstract

We consider a general class of integrated quantum systems where photon-photon interaction occurs in a quantum device that is localized in space. Using techniques that are closely related to cluster decomposition principles in quantum field theory, we provide a general constraint on the analytic properties of a two-photon $S$ matrix in this class of systems. We also show that the photon-photon interaction in these systems inevitably leads to frequency mixing and entanglement and that frequencies of the single photons cannot be preserved in these systems.

Received 13 August 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.223602

Authors & Affiliations

Shanshan Xu^1,*, Eden Rephaeli², and Shanhui Fan^3,†

¹Department of Physics, Stanford University, Stanford, California 94305, USA
²Department of Applied Physics, Stanford University, Stanford, California 94305, USA
³Department of Electrical Engineering, Ginzton Laboratory, Stanford University, Stanford, California 94305, USA

^*xuss@stanford.edu
^†shanhui@stanford.edu

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Issue

Vol. 111, Iss. 22 — 27 November 2013

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