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理论物理通讯：英文版

Generation of SU（1,1） Intelligent States for the Motion of Two Trapped Ions

FULi-Ping, SUNTian-Yu

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

We propose a method for generating SU(1, 1) intelligent states for the center of mass and relative motional modes for two trapped ions. In our scheme, only three laser beams are employed, and their directions are all the same as the direction of the two trapped ions' alignment. Under certain conditions, our desired states are obtained as the steady-state solution of the master equation of the system.

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We propose a method for generating SU(1, 1) intelligent states for the center of mass and relative motional modes for two trapped ions. In our scheme, only three laser beams are employed, and their directions are all the same as the direction of the two trapped ions' alignment. Under certain conditions, our desired states are obtained as the steady-state solution of the master equation of the system.
We propose a scheme for generating SU(1,1) intelligent states for the quantized vibrational motion of a trapped ion. The SU(1,1) intelligent states are those states satisfying the equalized SU(1,1) uncertainty relation. The relevant operators can be realized for one or two vibrational modes (the states for the latter having strong intermode correlations) and we consider both cases. In the single-mode case, three codirectional laser beams are used to excite the trapped ion, while for the two-mode case, five laser beams along different directions in the X-Y plane of the ion trap are required. Our desired states are obtained as the steady-state solutions, indicated by the extinction of the fluorescence by the ion, of the master equation containing dissipative terms due to spontaneous emission with appropriately chosen initial states. The system is also studied numerically using a Monte Carlo state-vector method.