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Acta Physica Sinica

Generation of twin-Fock states for precision measurement beyond the standard quantum limit

Meng Khoon Tey, Li You

Published Jan 1, 2018• 3 citations
Publisher

Abstract

The highest precision achievable for a two-mode (two-path) classical interferometer is bounded by 1/√N (with NN
DOI
10.7498/aps.67.20181029

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Holland and Burnett [Phys. Rev. Lett. 71, 1355 (1993)] have argued that twin Fock states of equal photon number NNN injected at both input ports of a Mach-Zehnder interferometer lead to phase measurements with accuracies approaching the Heisenberg limit $\ensuremath{\Delta}{\ensuremath{\varphi}}_{\mathrm{HL}}=1/(2N).$ However, the method of phase detection suggested by those authors, obtaining the difference of the photocurrents at the output ports of the interferometer, is not sensitive to the phase difference between the two interferometer paths; in fact, the photocurrent vanishes. In this paper we show that the use of parity measurements on just one of the output modes not only is sensitive to the phase difference but that the sensitivity approaches the Heisenberg limit for large N.N.N.
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