光在狄拉克物质中的非线性传播
Nonlinear propagation of light in Dirac matter
摘要：
强激光与量子等离子体的非线性相互作用由集体狄拉克方程和麦克斯韦方程组耦合而成。利用该模型研究了相对论强激光在考虑电子自旋1/2效应的量子等离子体中的非线性传输。由于高强度激光导致的相对论效应通常导致激光频率的下移，类似于经典等离子体，其中相对论质量增加导致激光的自诱导透明性和其他相关效应。电子自旋-1/2效应导致电磁（EM）波的频率上移或下移，这取决于等离子体的自旋状态和EM波的偏振。对于实验室固体密度等离子体，自旋1/2对光传播的影响很小，但在白矮星核心的超密度等离子体中，自旋1/2对光传播的影响可能很大。我们还讨论了扩展的模型，包括量子等离子体中的电磁波的非线性传播的电子分布的动力学效应。
英文摘要：
The nonlinear interaction between intense laser light and a quantum plasma is modeled by a collective Dirac equation coupled with the Maxwell equations. The model is used to study the nonlinear propagation of relativistically intense laser light in a quantum plasma including the electron spin-1/2 effect. The relativistic effects due to the high-intensity laser light lead, in general, to a downshift of the laser frequency, similar to a classical plasma where the relativistic mass increase leads to self-induced transparency of laser light and other associated effects. The electron spin-1/2 effects lead to a frequency up- or downshift of the electromagnetic (EM) wave, depending on the spin state of the plasma and the polarization of the EM wave. For laboratory solid density plasmas, the spin-1/2 effects on the propagation of light are small, but they may be significant in super-dense plasma in the core of white dwarf stars. We also discuss extensions of the model to include kinetic effects of a distribution of the electrons on the nonlinear propagation of EM waves in a quantum plasma.
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