Related papers: Nonclassical states of light in a nonlinear Michelson interferometer

Nonclassical states of light in a nonlinear Michelson interferometer

URL: http://arxiv.org/abs/2106.07420v2
Date: Mon, 6 Dec 2021 16:30:11 GMT
Title: Nonclassical states of light in a nonlinear Michelson interferometer
Authors: Bijoy John Mathew and Anil Shaji
Abstract summary: We study a Michelson interferometer embedded in a Kerr medium that leads to non-linear, intensity dependent phase shifts. The quantum Cramer-Rao bound on the minimum achievable measurement uncertainties is worked out. The choice of input state of light into the interferometer and the read out strategy at the output end are discussed.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Nonlinear quantum metrology schemes can lead to faster than Heisenberg limited scalings for the measurement uncertainty. We study a Michelson interferometer embedded in a Kerr medium [Luis and Rivas, Phys. Rev. A 92, 022104 (2015)] that leads to non-linear, intensity dependent phase shifts corresponding to relative changes in the lengths of its two arms. The quantum Cramer-Rao bound on the minimum achievable measurement uncertainties is worked out and the requirements, in practice, to saturate the bound are investigated. The choice of input state of light into the interferometer and the read out strategy at the output end are discussed. The ideal, non-classical states of light that must be used to saturate the bound are found to be highly susceptible to photon loss noise. We identify optimal states at each noise level that are both resilient to noise and capable of giving the enhanced sensitivities and discuss practical implementations of the interferometry scheme using such states.

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