量子泵浦场中的非线性康普顿散射
Nonlinear Compton scattering in a quantized pump field
AI总结：
本研究建立了单模量子场驱动的非线性康普顿散射全量子理论，分析了有限福克态泵浦的光谱特性，给出弱损耗区域的近似形式，并揭示压缩相干光的压缩角对高能发射的调控作用。
AI中文摘要：
我们建立了由单模量子场驱动的非线性康普顿散射的全量子理论。精确量子-沃尔科夫（quantum-Volkov）态通过位移或压缩位移的福克态（Fock-state）梯子保留了泵浦损耗、反作用和末态关联。有限福克态泵浦产生离散的光子转移边和终端光谱截止。在明亮、弱损耗的区域，精确理论简化为固定复场振幅下散射概率的维格纳函数（Wigner-function）加权平均，其中普通和广义贝塞尔函数分别描述圆偏振和线偏振的谐波结构。对于压缩相干光，压缩角通过光子数涨落控制高能发射。
英文摘要：
We develop a fully quantized theory of nonlinear Compton scattering driven by a single-mode quantum field. Exact quantum-Volkov states retain pump depletion, back-action, and final-state correlations through displaced or squeezed-displaced Fock-state ladders. A finite Fock-state pump produces discrete photon-transfer edges and a terminal spectral cutoff. In the bright, weakly depleted regime, the exact theory reduces to a Wigner-function weighted-average of scattering probabilities evaluated at fixed complex field amplitudes, with ordinary and generalized Bessel functions describing the harmonic structure for circular and linear polarization, respectively. For squeezed coherent light, the squeezing angle controls the high-energy emission through photon-number fluctuations.
