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Measure of phonon-number moments and motional quadratures through infinitesimal-time probing of trapped ions

T. Bastin·J. von Zanthier·E. Solano
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Abstract

A method for gaining information about the phonon-number moments and the generalized nonlinear and linear quadratures in the motion of trapped ions (in particular, position and momentum) is proposed, valid inside and outside the Lamb-Dicke regime. It is based on the measurement of first time derivatives of electronic populations, evaluated at the motion-probe interaction time t=0. In contrast to other state-reconstruction proposals, based on measuring Rabi oscillations or dispersive interactions, the present scheme can be performed resonantly at infinitesimal short motion-probe interaction times, remaining thus insensitive to decoherence processes.

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T. Bastin, J. von Zanthier, E. Solano. 2006-01-10. Measure of phonon-number moments and motional quadratures through infinitesimal-time probing of trapped ions. https://doi.org/10.1088/0953-4075/39/3/020

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