Quantum jumps in a system of few trapped ions

Author

Agarwal, Girish S. ; Lawande, S.V. ; D´Souza, R.

Author_Institution

Sch. of Phys., Hyderabad Univ., India

Volume

24

Issue

7

fYear

1988

fDate

7/1/1988 12:00:00 AM

Firstpage

1413

Lastpage

1419

Abstract

A theory of quantum jumps in a system of few trapped ions is formulated. The V configuration of the energy levels and incoherent pumping are assumed. The master equation is derived in terms of the SU(3) collective operators for the V system. Numerical results for the intensity-intensity correlations for up to five ions are presented. Analytical results for a system of two ions are derived separating out dynamics at two difference time scales and by eliminating adiabatically the fast variables. From the analytical results, the underlying three-state Markov process that can be used to characterize the quantum jumps in the two-ion system is identified. Probability distributions for various off-on time intervals are presented

Keywords

Markov processes; SU₃ theory; atomic fluorescence; master equation; optical pumping; SU(3) collective operators; V configuration; energy levels; incoherent pumping; intensity-intensity correlations; master equation; quantum jumps; three-state Markov process; trapped ions; Cooperative systems; Energy states; Equations; Fluorescence; Markov processes; Physics; Quantum mechanics; Spectroscopy; Steady-state; Transmission electron microscopy;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.981

Filename

981