Regular electron bunches undergoing extremely high acceleration emulating the behavior of electrons near black holes are shown to occur in underdense plasmas irradiated by multi-PW laser pulses with the intensity over 1022 W/cm2. The interaction of multi-PW laser pulses with underdense plasma, in the regime of strong relativistic wave-breaking, is investigated via fully relativistic 3D particle-in-cell simulations including ion motion and radiation reaction. The effect of a transverse cylindrical plasma wave in laser pulse wakes on the formation of regular electron bunches under extremely high acceleration, w, suitable for the detection of Hawking-Unruh temperature is shown and analyzed.
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