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Generation of arbitrary two dimensional motional state of a trapped ion

XuBo Zou·K. Pahlke·W. Mathis
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Abstract

We present a scheme to generate an arbitrary two-dimensional quantum state of motion of a trapped ion. This proposal is based on a sequence of laser pulses, which are tuned appropriately to control transitions on the sidebands of two modes of vibration. Not more than $(M+1)(N+1)$ laser pulses are needed to generate a pure state with upper phonon number $M$ and $N$ in the $x$ and $y$ direction respectively.

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XuBo Zou, K. Pahlke, W. Mathis. 2002-04-13. Generation of arbitrary two dimensional motional state of a trapped ion. https://doi.org/10.1103/physreva.65.045801

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