Abstract

A set of conditions is presented for an N-level quantum system to possess the Gell-Mann-type dynamic symmetry, which was introduced in an earlier paper. The characteristic set of constants of motion that the system has when it possesses the symmetry and also the equivalent two-level system, which the system can be reduced to, are also presented.

© 1988 Optical Society of America

Lossless propagation of optical pulses through N-level systems with Gell-Mann symmetry

F. T. Hioe
J. Opt. Soc. Am. B 6(6) 1245-1252 (1989)

N-level quantum systems with SU(2) dynamic symmetry

F. T. Hioe
J. Opt. Soc. Am. B 4(8) 1327-1332 (1987)

Dynamical symmetries of the vacuum field Jaynes–Cummings model

G. Hu and P. K. Aravind
J. Opt. Soc. Am. B 6(9) 1757-1763 (1989)

Lossless propagation of optical pulses through N-level systems with SU(2) symmetry

F. T. Hioe
J. Opt. Soc. Am. B 6(3) 335-343 (1989)

Quantum Zeno effect and motional narrowing in a two-level system

G. J. Milburn
J. Opt. Soc. Am. B 5(6) 1317-1322 (1988)