Signatures of quantum effects on radiation reaction in laser -- electron-beam collisions
C.P. Ridgers, T.G. Blackburn, D. Del Sorbo, L.E. Bradley, C.D. Baird,, S.P.D. Mangles, P. McKenna, M. Marklund, C. D. Murphy, A.G.R. Thomas

TL;DR
This paper identifies measurable quantum signatures in radiation reaction during high-intensity laser-electron collisions, including energy spread increase and Gaunt factor measurement, using current laser technology.
Contribution
It introduces a method to measure the quantum stochasticity of radiation reaction via energy variance evolution in laser-electron collisions.
Findings
Quantum stochasticity causes a 25% increase in energy spread.
Energy decrease can measure the Gaunt factor g.
Effects are observable with current laser systems.
Abstract
Two signatures of quantum effects on radiation reaction in the collision of a ~GeV electron-beam with a high-intensity (>3x10^20W/cm^2) laser-pulse have been considered. We show that the decrease in the average energy of the electron-beam may be used to measure the Gaunt factor g for synchrotron emission. We derive an equation for the evolution of the variance in the energy of the electron-beam in the quantum regime, i.e. quantum efficiency parameter eta > 0.1$. We show that the evolution of the variance may be used as a direct measure of the quantum stochasticity of the radiation reaction and determine the parameter regime where this is observable. For example, stochastic emission results in a 25% increase in the standard deviation of the energy spectrum of a GeV electron beam, 1 fs after it collides with a laser pulse of intensity 10^21 W/cm^2. This effect should therefore be…
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