New Approach to Quantum Amplification by Superradiant Emission of Radiation
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2010 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. We report a new analytical solution of a twolevel system driven by an arbitrary timedependent electromagnetic pulse. The new solution goes beyond the rotating wave approximation (RWA), and is governed by the complex pulse area and the timedependent Stark shift phase. The present work is motivated by a new concept of the quantum amplification by superradiant emission of radiation (QASER). The original QASER mechanism was suppressed by the Stark effect induced by the strong off resonant driving field. Furthermore the QASER description was based on the Rabi solution for a driven twolevel system derived for a square driving pulse in the RWA. The present approach, based on a new solution for a driven twolevel system, is valid for a general timedependent field beyond the RWA. With a twomode driving field that is detuned above and below the atomic transition frequency by the same amount ? we achieve cancellation of the induced Stark shift. In this way we secure parametric excitation of a driven twolevel atomic media without a timedependent Stark shift.