Nonlinear coherent states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 54, Issue 5, 1996, Pages 4560-4563

  de Matos Filho, R L ^a   Vogel, W ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000373289     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.4560     Document Type: Article

References (29)

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21. Recently we became aware of the fact that the class of states we have defined in Eq. (1) has been considered from the general point of view of quantum groups by V.I. Man'ko, G. Marmo, F. Zaccaria, and E.C.G. Sudarshan, in Proceedings of the IV Wigner Symposium, edited by N. Atakishiyev, T. Seligman, and K.B. Wolf (World Scientific, Singapore, 1996), pp. 421–428. They have introduced these states, denoted as ``f-coherent states'' in view of the dependence of their properties on the chosen function f̌(ň) in Eq. (1), from a mathematical point of view as a generalization of the q-deformed coherent states;
22. for the latter, see L.C. Biedenharn, J. Phys. A 22, L873 (1989). However, a physical realization of the f-coherent (or nonlinear coherent) states has not been considered by Man'ko et al
23. Note that the description of the ionic motion in the harmonic approximation requires a suitable compensation of the micromotion which can be realized experimentally;
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27. Recently it has been shown that even by inclusion of the micromotion a nonlinear Jaynes-Cummings Hamiltonian can be derived that is similar to that obtained in the harmonic approximation in 19.
28. for details, see P.J. Bardroff, C. Leichtle, G. Schrade and W. P. Schleich, Acta Phys. Slov. 46, 1 (1996).
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