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K-dimensional trio coherent states

Hyo Seok Yi1, Ba An Nguyen2,3 and Jaewan Kim2

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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.


PACS

37.10.Vz Mechanical effects of light on atoms, molecules, and ions

42.25.Kb Coherence

MSC

81V80 Quantum optics

81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)

Subjects

Atomic and molecular physics

Optics, quantum optics and lasers

Dates

Issue 45 (12 November 2004)

Received 29 March 2004

Published 28 October 2004



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