Bose-Einstein Condensation
Bose-Einstein Condensation
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DOI：
10.1007/978-3-642-15942-8_15
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
S. Nazarenko
中科院分区：
文献类型：
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作者：
S. Nazarenko
在本章中，考虑玻色-爱因斯坦凝聚体（BEC）和非线性光学中的波湍流（WT）。考虑的模型包括向列液晶中光学小波变换的 2D 和 3D Gross-Pitaevskii 方程、Nordheim 量子动力学方程、Boltzmann 方程和 1D 非线性方程。讨论了热力学 Rayleigh-Jeans、级联 Kolmogorov-Zakharov、混合温级联和临界平衡状态的作用。 WT 生命周期的图片，其中相干的均匀凝结物成分是由逆级联过程产生的。在这种设置中，小波变换以四波过程开始，随后弱非线性描述崩溃，并产生强非线性涡旋气体，这些涡旋经历湮灭，产生无涡旋相干凝聚体，其中随机声波戈留波夫波参与相互三波相互作用
In this Chapter, Wave Turbulence (WT) in Bose-Einstein condensates (BEC) and nonlinear optics is considered. Models considered include 2D and 3D Gross-Pitaevskii equations, Nordheim quantum kinetic equation, Boltzmann equation and 1D nonlinear equation for optical WT in nematic liquid crystals. Roles of the thermodynamic Rayleigh- Jeans, cascading Kolmogorov-Zakharov, mixed warm cascade and critical balance states are discussed. A picture of WT life cycle where a coherent uniform condensate component arises from an inverse cascade process. In this setting the WT starts as a four-wave process followed by breakdown of weakly nonlinear description and creation of a gas of strongly nonlinear vortices which undergo annihilations resulting in a vortex-free coherent condensate with random acoustic Bogoliubov waves engaged in mutual three-wave interactions