Multi-dimensional trio coherent states

Details Multi-dimensional trio coherent states Multi-dimensional trio coherent states

2004-09-16

arxiv.org/abs/quant-ph/0409103v1

J. Phys. A: Math. Gen. 37 (2004) 11017-11036

Physics

Quantum Physics

17 pages, 12 figures, accepted for publication in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/37/45/019

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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