Table of Contents
Fetching ...

Measuring Vacuum Polarisation with High Power Lasers

B. King, T. Heinzl

TL;DR

Measuring Vacuum Polarisation with High Power Lasers addresses how the quantum vacuum acts as a nonlinear medium under strong fields, enabling real photon-photon scattering observations. It surveys three analytical frameworks—S-matrix with a background, the polarization operator, and the Heisenberg-Euler modified Maxwell equations—and demonstrates their equivalence for predicting laser-based experiments. It catalogs a broad range of observable signatures across polarization, wavevector, frequency, and pulse shape, including vacuum birefringence, diffraction, frequency shifts, high-harmonics, and photon splitting, with sample parametric estimates. It advocates that upcoming high-power laser facilities and cavity-based schemes could realize the first measurements of real photon-photon scattering, connecting theoretical predictions to practical experimental tests.

Abstract

When exposed to intense electromagnetic fields, the quantum vacuum is expected to exhibit properties of a polarisable medium akin to a weakly nonlinear dielectric material. Various schemes have been proposed to measure such vacuum polarisation effects using a combination of high power lasers. Motivated by several planned experiments, we provide an overview of experimental signatures that have been suggested to confirm this prediction of quantum electrodynamics of real photon-photon scattering.

Measuring Vacuum Polarisation with High Power Lasers

TL;DR

Measuring Vacuum Polarisation with High Power Lasers addresses how the quantum vacuum acts as a nonlinear medium under strong fields, enabling real photon-photon scattering observations. It surveys three analytical frameworks—S-matrix with a background, the polarization operator, and the Heisenberg-Euler modified Maxwell equations—and demonstrates their equivalence for predicting laser-based experiments. It catalogs a broad range of observable signatures across polarization, wavevector, frequency, and pulse shape, including vacuum birefringence, diffraction, frequency shifts, high-harmonics, and photon splitting, with sample parametric estimates. It advocates that upcoming high-power laser facilities and cavity-based schemes could realize the first measurements of real photon-photon scattering, connecting theoretical predictions to practical experimental tests.

Abstract

When exposed to intense electromagnetic fields, the quantum vacuum is expected to exhibit properties of a polarisable medium akin to a weakly nonlinear dielectric material. Various schemes have been proposed to measure such vacuum polarisation effects using a combination of high power lasers. Motivated by several planned experiments, we provide an overview of experimental signatures that have been suggested to confirm this prediction of quantum electrodynamics of real photon-photon scattering.

Paper Structure

This paper contains 31 sections, 47 equations, 11 figures.

Figures (11)

  • Figure 1: Vacuum polarisation loop in QED. Wavy and straight lines represent photons and fermions (electrons and positrons), respectively.
  • Figure 2: Probing vacuum polarisation by photon-photon scattering.
  • Figure 3: The leading order Heisenberg-Euler vertex or photon-photon scattering at low energies.
  • Figure 4: A probe photon (wavy lines) scattering off a classical laser background (dashed lines) at low energy (so that the Heisenberg-Euler vertex can be employed).
  • Figure 5: Photons from the pump (dashes) interact with those from the probe to produce a pump-dependent vacuum index of refraction.
  • ...and 6 more figures