K-dimensional trio coherent states

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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.
Publisher
IOP PUBLISHING LTD
Issue Date
2004
Language
English
Article Type
Article
Keywords

LOCAL HIDDEN-VARIABLES; PAIR CAT STATES; TRAPPED ION; NONCLASSICAL PROPERTIES; QUANTUM OPTICS; GENERATION; ENTANGLEMENT; REPRESENTATION; CONTRADICTION; TELEPORTATION

Citation

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, v.37, no.45, pp.11017 - 11036

ISSN
0305-4470
DOI
10.1088/0305-4470/37/45/019
URI
http://hdl.handle.net/10203/82234
Appears in Collection
RIMS Journal Papers
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