High-energy photon hologram of a photon gas
TLDR
This paper derives the high-energy photon hologram of a photon gas, showing it acts as a birefringent medium measurable with current tech.
Key contributions
- Derived explicit expressions for high-energy photon holograms of photon gases, including Gaussian and lattice forms.
- Identified distinct conditions for resonant cones in coherent scattering by coherent vs. incoherent photon lattices.
- Developed the dielectric susceptibility tensor for photon gases and single photons, revealing linear and circular birefringence.
- Demonstrated that photon gas holograms are experimentally measurable with existing facilities under specific high-energy conditions.
Why it matters
This research provides a theoretical framework for understanding light-light interaction at extreme energies, revealing how photon gases behave as birefringent media. It opens new avenues for experimental verification of quantum electrodynamics in strong fields, potentially leading to novel applications in high-energy physics.
Original Abstract
The photon hologram of a one-particle density matrix of a photon gas is derived including the case where the energy of a probe photon is above the electron-positron pair creation threshold. The explicit expressions for the holograms of a photon gas with one-particle density matrix in the form of a single Gaussian and of coherent and incoherent lattices of Gaussians are obtained. The conditions for resonant cones of coherent scattering by coherent and incoherent lattices are found. These conditions turn out to be different. The explicit expression for the dielectric susceptibility tensor of a photon gas and of a single photon prepared in arbitrary quantum states are derived on the probe photon mass-shell. It is established that a photon gas and a single photon behave in coherent photon scattering as a medium with linear and circular birefringences that is transparent below the electron-positron creation threshold and is absorbing otherwise. It is shown that, for the probe photon energies of order $1$ GeV and higher, the energies of target photons of order $1$ eV and higher, and the photon gas density such that the classical intensity parameter is of order unity, the hologram of the photon gas can be measured with existing experimental facilities.
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