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Nonlinear Compton scattering in a quantized pump field

Kenan Qu*

  • *Contact author: kq@princeton.edu
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Phys. Rev. D 114, 074041 – Published 19 October, 2026

DOI: https://doi.org/10.1103/6dtf-xl8m

Abstract

We develop a fully quantized theory of nonlinear Compton scattering driven by a single-mode quantum field. Exact quantum-Volkov states retain pump depletion, backaction, 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.

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References (36)

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Phys. Rev. D 114, 074041– Published 19 October, 2026
  • Received 11 August 2026
  • Accepted 25 September 2026
Article part of CHORUS
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