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Phys Rev Lett. 2013 Feb 01;110(5):053601. doi: 10.1103/PhysRevLett.110.053601. Epub 2013 Jan 30.

Breakdown of the cross-Kerr scheme for photon counting.

Physical review letters

Bixuan Fan, Anton F Kockum, Joshua Combes, Göran Johansson, Io-chun Hoi, C M Wilson, Per Delsing, G J Milburn, Thomas M Stace

Affiliations

  1. Center for Engineered Quantum Systems, School of Mathematics and Physics, The University of Queensland, St Lucia, Queensland 4072, Australia.

PMID: 23414018 DOI: 10.1103/PhysRevLett.110.053601

Abstract

We show, in the context of single-photon detection, that an atomic three-level model for a transmon in a transmission line does not support the predictions of the nonlinear polarizability model known as the cross-Kerr effect. We show that the induced displacement of a probe in the presence or absence of a single photon in the signal field, cannot be resolved above the quantum noise in the probe. This strongly suggests that cross-Kerr media are not suitable for photon counting or related single-photon applications. Our results are presented in the context of a transmon in a one-dimensional microwave waveguide, but the conclusions also apply to optical systems.

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