Observation of the Stimulated Quantum Cherenkov Effect.

Charged particles breaking the speed of light in an optical medium spontaneously create a shockwave of light just as jet planes breaking the speed of sound create a shockwave of sound, in a process called the Cherenkov effect. Using resonant laser-driving, we can trigger stimulated Cherenkov emission and accelerate the particle. These and all of the other implementations of the Cherenkov effects were always described within the framework of classical physics. A similar classical treatment has been satisfactory in all experiments of free-electron radiation and electron acceleration, which solidified our understanding of these free-electron effects as completely classical. Meanwhile, theoretical work has predicted an underlying quantum nature to the Cherenkov effects, yet no experimental evidence has been found up to this date. Here, we observe the quantized nature of the stimulated Cherenkov effect by achieving coherent resonant electron-laser interaction. Each electron in our experiment is both accelerated and decelerated, simultaneously absorbing and emitting hundreds of photons in a coherent manner. Consequently, the quantum wavepacket of each electron evolves into a coherent plateau of hundreds of energy peaks quantized by the laser photon energy. This observation constitutes the relativistic free-electron analogue of above-threshold ionization, yet with orders of magnitude lower laser intensities. We measure all of the above in a laser-driven (ultrafast) transmission electron microscope. Our findings expose the quantum nature in a wide range of free-electron phenomena: proving that stimulated electron-photon interaction cannot always be described in terms of classical point charges. Looking forward, exploiting quantum wave-dependent interactions may open a new degree of freedom in the design of dielectric laser accelerators, Smith-Purcell sources, and other free-electron processes.