Quantum sensing of the phase space displacement parameters using a single trapped ion

Abstract

We introduce a quantum sensing protocol for detecting the parameters characterizing the phase space displacement by using a single trapped ion as a quantum probe. We show that thanks to the laser-induced coupling between the ion's internal states and the motion mode the estimation of the two conjugated parameters describing the displacement can be efficiently performed by a set of measurements of the atomic state populations. Furthermore, we introduce a three-parameter protocol capable to detect the magnitude, the transverse direction and the phase of the displacement. We characterize the uncertainty of the two- and three-parameter problems in terms of the Fisher information and show that state projective measurement saturates the fundamental quantum Cramer-Rao bound.

6 pages, 5 figures

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• Experimental multiphase estimation on a chip
• Coherent control techniques in three-level quantum sensing
• Unconditional preparation of squeezed vacuum from Rabi interactions
• Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
• Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
• Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes
• Quantum Rabi interferometry of motion and radiation