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Nonlinear atom optics: four-wave mixing

机译:非线性原子光学:四波混合

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Abstract: The advent of the laser as an intense, coherent light source gave birth to nonlinear optics, which now plays an important role in many areas of science and technology. One of the first applications of nonlinear optics was the production of coherent light of a new frequency by multi-wave mixing of several optical fields in a nonlinear medium. Until the experimental realization of Bose-Einstein Condensation (BEC) there had been no intense coherent source of matter-waves analogous to the optical laser. BEC has already been exploited to produce a matter-wave 'laser' atom optics was reported: the observation of coherent four wave mixing in which three sodium matter waves mix to produce a fourth. The experiment utilized light pulses to create two high-momentum wavepackets via Bragg diffraction from a stationary Bose- Einstein condensate. The high-momentum components and the remaining zero momentum condensate component interact to form a new momentum component due to the nonlinear self- interaction of the bosonic atoms. We develop a quantum mechanical description, based on the slowly-varying-envelope approximation to the time-dependent nonlinear Schroedinger equation, to describe four-wave mixing in Bose-Einstein condensates and apply this description to understand the experimental observations and to make new predictions. We examine the role of phase-modulation, momentum and energy conservation, and particle number conservation in four-wave mixing of matter waves. !19
机译:摘要:激光作为一种强力的,相干的光源的出现催生了非线性光学,它现在在许多科学和技术领域中都起着重要的作用。非线性光学的最初应用之一是通过在非线性介质中将多个光场进行多波混合来产生新频率的相干光。在玻色-爱因斯坦凝聚(BEC)的实验实现之前,还没有类似于光学激光器的强相干物质波源。已经报道了BEC被用于产生物质波“激光”原子光学器件:观察相干四波混合,其中三个钠质波混合产生第四波。该实验利用光脉冲通过固定的玻色-爱因斯坦凝聚物的布拉格衍射产生了两个高动量的波包。由于硼原子的非线性自相互作用,高动量分量和剩余的零动量冷凝物分量相互作用以形成新的动量分量。我们基于对时变非线性Schroedinger方程的逐渐变化的包络近似,开发了量子力学描述,以描述Bose-Einstein冷凝物中的四波混合,并将此描述用于理解实验观察并做出新的预测。我们研究了相位调制,动量和能量守恒以及粒子数守恒在物质波的四波混合中的作用。 !19

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