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Acta Physica Sinica

QUANTUM NON DEMOLITION MEASUREMENT IN NONLINEAR DOUBLE RESONANCE FOR TWO BEAMS

Ai Guo-xiang

Published Jan 1, 1998• 0 citations
OpenAlex

Abstract

AbstractA quantum theoretical model for the system of interaction between two beams and N atoms of Λ type three level has been established.The dynamical behavior and the features of the optical quantum non demolition (QND) measurement are discussed in details.The results show that the efficient QND measurement can be well performed at the operation of the nonlinear double resonance for two beams.

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AbstractA quantum theoretical model for the system of interaction between two beams and N atoms of Λ type three level has been established.The dynamical behavior and the features of the optical quantum non demolition (QND) measurement are discussed in details.The results show that the efficient QND measurement can be well performed at the operation of the nonlinear double resonance for two beams.
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In this paper we present a theoretical analysis of a recent quantum non-demolition experiment in optics using cold atoms in a magneto-optical trap as a nonlinear medium. A signal beam and a meter beam from two independent lasers are coupled within a A-type three-level scheme in the D1 line of 87Rb atoms. The experimental results for the relevant quantum correlations of the fields represent up to now the best achievement for a single back-action evading measurement. Moreover, they are found to be in remarkably good agreement with the theoretical predictions from a fully quantum model for three-level atoms in a doubly resonant cavity.
When atoms are illuminated by an off-resonant field, the AC Stark effect will lead to phase shifts in atomic states. The phase shifts are proportional to the photon number of the off-resonant illuminating field. By measuring the atomic phase with newly developed atom-light hybrid interferometers, we can achieve quantum non-demolition measurement of the photon number of the optical field. In this paper, we analyze theoretically the performance of this QND measurement scheme by using the QND measurement criteria established by Holland et al [Phys. Rev. A 42, 2995 (1990)]. We find the quality of the QND measurement depends on the phase resolution of the atom-light hybrid interferometers. We apply this QND measurement scheme to a twin-photon state from parametric amplifier to verify the photon correlation in the twin beams. Furthermore, a sequential QND measurement procedure is analyzed for verifying the projection property of quantum measurement and for the quantum information tapping. Finally, we discuss the possibility for single-photon-number-resolving detection via QND measurement.