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Physical Review A

Quantum-interference effects for gain leveling in optical fibers

Huifang Zhang, Peng‐Wang Zhai, Xue-Mei Su, Jin‐Hui Wu, Jin-Yue Gao

Published Mar 29, 2002• 16 citations
Publisher

Abstract

A four-level system is proposed to explore the quantum-interference effects on optical amplification. It is found that the gain of the probe including positions and values of gain peaks can be adjusted by changing the coherent field and the incoherent pumping. As an application of the results, a scheme composed of three same ${\mathrm{Er}}^{3+}$-doped ${\mathrm{ZrF}}_{4}\ensuremath{-}{\mathrm{BaF}}_{2}\ensuremath{-}{\mathrm{LaF}}_{3}\ensuremath{-}{\mathrm{AlF}}_{3}\ensuremath{-}\mathrm{NaF}$ Optical Fibers with different coherent fields and incoherent pumpings is brought forward to equalize the gain of the probe.

DOI
10.1103/physreva.65.043812

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A four-level system is proposed to explore the quantum-interference effects on optical amplification. It is found that the gain of the probe including positions and values of gain peaks can be adjusted by changing the coherent field and the incoherent pumping. As an application of the results, a scheme composed of three same Er3+{\mathrm{Er}}^{3+}Er3+-doped ZrF4\ensuremath−BaF2\ensuremath−LaF3\ensuremath−AlF3\ensuremath−NaF{\mathrm{ZrF}}_{4}\ensuremath{-}{\mathrm{BaF}}_{2}\ensuremath{-}{\mathrm{LaF}}_{3}\ensuremath{-}{\mathrm{AlF}}_{3}\ensuremath{-}\mathrm{NaF}ZrF4​\ensuremath−BaF2​\ensuremath−LaF3​\ensuremath−AlF3​\ensuremath−NaF Optical Fibers with different coherent fields and incoherent pumpings is brought forward to equalize the gain of the probe.
A four-level system driven by two coherent fields is considered. It is shown that in the presence of an incoherent pump, the probe gain at a short wavelength can be achieved due to the quantum interference. Our density matrix calculation provides the conditions for probe amplification from different origins, including gain without population inversion on any state basis, gain with population inversion on the dressed-state basis and gain with population inversion on the bare-state basis. Also, by controlling the Rabi frequency of the coupling field a total change from non-inversion to inversion can be achieved which does not depend on the intensity of the incoherent pump.
A four-level system driven by two coherent fields is considered. the probe gain at a short wavelength can be achieved due to the quantum interference in the presence of an incoherent pump. The density matrix calculation provides the conditions for probe amplification from different origin, including gain without population inversion in any state basis, gain with population inversion in the dressed-state basis, and gain with population inversion in the bare-state basis. Also, by controlling Rabi frequency of the coupling field a totally changing from non-inversion to inversion can be achieved which does not depend on the intensity of the incoherent pump.
The work is aimed at modeling coherence effects in a dissipative quantum system under the semi-classical density matrix formalism. A number of multiphoton coherence effects have been shown to be feasible by controlling the incoherent pumping mechanism in a generic four-level model. The specialty of the model is in finding inversionless gain without any restrictions being imposed on the decay rates of the driven transitions. Many of the coherence effects, such as absorption cancellation, inversionless gain at the line center, and sidebands of an absorptive line shape accompanied by dispersive switching, are explained using the same model under different parametric conditions. Further, it is shown that modulation in the coherence effects can effectively be controlled by the two- and three-photon excitation mechanisms with the proper choice of the rates of incoherent pumping under a stimulated Raman process. Different conditions of population inversion are found for both coherent and incoherent control of stimulated Raman resonance. In addition to Raman gain, gain without inversion in any standard state basis is found to be achieved in our present model. The proposed scheme can have potential application in controlling the properties of an optical field on propagation through rare earth ion-doped fiber material or other solid-state, as well as atomic, media.