Hyo Seok Yi et al 2004 J. Phys. A: Math. Gen. 37 11017 doi:10.1088/0305-4470/37/45/019
Hyo Seok Yi1, Ba An Nguyen2,3 and Jaewan Kim2
Show affiliationsWe 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.
37.10.Vz Mechanical effects of light on atoms, molecules, and ions
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
Issue 45 (12 November 2004)
Received 29 March 2004
Published 28 October 2004
Hyo Seok Yi et al 2004 J. Phys. A: Math. Gen. 37 11017
N Bhattacharya et al 2009 Supercond. Sci. Technol. 22 125013
Patrik L Ferrari and Herbert Spohn 2005 J. Phys. A: Math. Gen. 38 L557
I V Belova et al 2002 J. Phys.: Condens. Matter 14 6897
M O Leach 2006 Phys. Med. Biol. 51 R61
N J Kylstra et al 1995 J. Phys. B: At. Mol. Opt. Phys. 28 L685
R Krishnan et al 2009 Nanotechnology 20 465609
Zhou Li-Juan and Ma Wei-Xing 2003 Chinese Phys. Lett. 20 2137
J. P. Wisniewski et al 2003 ApJ 598 L43
N. Brynildsen et al 1995 ApJ 455 L81