COHERENT STATES IN FINITE-DIMENSIONAL HILBERT-SPACE AND THEIR WIGNER REPRESENTATION

Authors
OPATRNY T MIRANOWICZ A BAJER J
Citation
T. Opatrny et al., COHERENT STATES IN FINITE-DIMENSIONAL HILBERT-SPACE AND THEIR WIGNER REPRESENTATION, J. mod. opt., 43(2), 1996, pp. 417-432
Citations number
31
Categorie Soggetti
Optics
Journal title
J. mod. opt. → ACNP
ISSN journal
09500340
Volume
43
Issue
2
Year of publication
1996
Pages
417 - 432
Database
ISI
SICI code
0950-0340(1996)43:2<417:CSIFHA>2.0.ZU;2-M
Abstract
We consider two definitions of coherent states in a finite-dimensional Hilbert space based on (i) truncation of the usual coherent state exp ansion and (ii) generalization of the displacement operator acting on vacuum. The number-phase Wigner function is computed for such states. Analytical results and numerically computed graphs are presented. Spec ial attention is paid to two-level slates and to their Stokes paramete r representations.