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Physical Review A

Triple optical resonance

Zofia Białynicka-Birula, Iwo Białynicki‐Birula

Published Sep 1, 1977• 24 citations
Publisher

Abstract

A general method is given to determine the steady-state level populations for $N$-level systems interacting with $N\ensuremath{-}1$ strong resonant laser beams. For a three-level system it reproduces recent results of Whitley and Stroud. For a four-level system it leads to simple conditions for the population inversion between the highest and the lowest level. However, the population of the highest level can never exceed 0.5.

DOI
10.1103/physreva.16.1318

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A general method is given to determine the steady-state level populations for NNN-level systems interacting with N\ensuremath−1N\ensuremath{-}1N\ensuremath−1 strong resonant laser beams. For a three-level system it reproduces recent results of Whitley and Stroud. For a four-level system it leads to simple conditions for the population inversion between the highest and the lowest level. However, the population of the highest level can never exceed 0.5.
In the case of incoherent pumping, laser without population inversion in a resonant three-level Δ -configuration system is investigated. By taking the strong coupling field limit, we obtain the approximate steady-state analytical solution of populations and imaginary part of coherences within the dressed-state regime, and discuss the condition of the generating of laser without inversion and the dependences of population distribution and system gain on Rabi frequency of the probe and coherence fields. The results show that the resonant three-level Δ-configuration system is always in the state of no population inversion, and laser without inversion occurs if one of the two fields is strong. When one of the two fields is much stronger than the other one, the gain without inversion is independent of the two Rabi frequencies.
General expressions for the steady-state population distribution and complex susceptibilities of a three-level system interacting with two strong near-resonant electromagnetic fields are obtained using a density-matrix formalism. A complete treatment of the steady-state population distribution established in the three-level system, under the action of two strong fields with arbitrary resonance detunings is presented. The criterion for maximal populations of the exciting levels, as well as conditions in which the population of the exciting levels exceeds the population of the ground state are found. The modification of the absorption and emission lines with increasing intensity of the second (probe) field is considered. The emphasis in the present treatment, as distinct from Panock and Temkin (see IEEE J. Quantum Electron., vol.QE-13, p.476 (1977)) is on the consideration of the arbitrary distribution of the equilibrium populations of the system which exhibits a number of interesting features which have not been previously discussed.