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Physical Review A

Motional quantum-state engineering and measurement in the strong-excitation regime

Shi‐Biao Zheng, Xiwen Zhu, Mang Feng

Published Aug 10, 2000• 22 citations
Publisher

Abstract

We propose a scheme to generate a superposition of several coherent states with arbitrary coefficients on a line in phase space and directly measure the Wigner characteristic function for the motion of a trapped ion. Unlike previous schemes for motional quantum-state engineering and endoscopy, the present scheme works in the strong-excitation regime, which may be of experimental importance in view of decoherence.

DOI
10.1103/physreva.62.033807

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We propose a scheme to generate a superposition of several coherent states with arbitrary coefficients on a line in phase space and directly measure the Wigner characteristic function for the motion of a trapped ion. Unlike previous schemes for motional quantum-state engineering and endoscopy, the present scheme works in the strong-excitation regime, which may be of experimental importance in view of decoherence.
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In this paper, a procedure is proposed for measuring Wigner characteristic function for motion of a single trapped ion. In the scheme, the trapped ion is driven by two laser beams with different frequencies tuned to the first lower and upper vibrational sidebands, respectively. Unlike other previous scheme, our scheme does not require the displacement of the external state before the ion-laser interaction and thus our scheme might be more simple and feasible. The scheme can also be used to prepare the motional Schrodinger cat states and entangled coherent states.
We proposed a scheme for generating arbitrary, discrete superpositions of motional coherent and squeezed coherent states of the quantized center of mass along a straight line in phase space for NNN trapped ions. We also show that such a method can be used for the engineering of motional quantum states. Furthermore, these states should help to examine the dynamics behavior of various systems and might be used for applications in quantum information processing.