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Multi-dimensional trio coherent states

Hyo Seok Yi·Ba An Nguyen·Jaewan Kim
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Abstract

We introduce a novel class of higher-order, three-mode states called K-dimensional trio coherent states. We study their mathematical properties and prove that they form a complete set in a truncated Fock space. We also study their physical content by explicitly showing that they exhibit nonclassical features such as oscillatory number distribution, sub-poissonian statistics, Cauchy-Schwarz inequality violation and phase-space quantum interferences. Finally, we propose an experimental scheme to realize the state with K=2 in the quantized vibronic motion of a trapped ion.

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Hyo Seok Yi, Ba An Nguyen, Jaewan Kim. 2004-09-16. Multi-dimensional trio coherent states. https://doi.org/10.1088/0305-4470/37/45/019

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