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arXiv · 0902.2252

Single photon quantum non-demolition in the presence of inhomogeneous broadening

Andrew D. Greentree·R. G. Beausoleil·L. C. L. Hollenberg·W. J. Munro·Kae Nemoto·S. Prawer·T. P. Spiller
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Abstract

Electromagnetically induced transparency (EIT) has been often proposed for generating nonlinear optical effects at the single photon level; in particular, as a means to effect a quantum non-demolition measurement of a single photon field. Previous treatments have usually considered homogeneously broadened samples, but realisations in any medium will have to contend with inhomogeneous broadening. Here we reappraise an earlier scheme [Munro \textit{et al.} Phys. Rev. A \textbf{71}, 033819 (2005)] with respect to inhomogeneities and show an alternative mode of operation that is preferred in an inhomogeneous environment. We further show the implications of these results on a potential implementation in diamond containing nitrogen-vacancy colour centres. Our modelling shows that single mode waveguide structures of length $200 μ\mathrm{m}$ in single-crystal diamond containing a dilute ensemble of NV$^-$ of only 200 centres are sufficient for quantum non-demolition measurements using EIT-based weak nonlinear interactions.

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Andrew D. Greentree, R. G. Beausoleil, L. C. L. Hollenberg, W. J. Munro, Kae Nemoto, S. Prawer, T. P. Spiller. 2009-02-13. Single photon quantum non-demolition in the presence of inhomogeneous broadening. https://doi.org/10.1088/1367-2630%2F11%2F9%2F093005

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