How does the quantum-to-classical transition of measurement occur? This question is vital for both foundations and applications of quantum mechanics. Here, we develop a new measurement-based framework for characterizing the classical and quantum free electron–photon interactions and then experimentally test it. We first analyze the transition from projective to weak measurement in generic light–matter interactions and show that any classical electron-laser- beam interaction can be represented as an outcome of weak measurement. In particular, the appearance of classical point-particle acceleration is an example of an amplified weak value resulting from weak measurement. A universal factor, quantifies the measurement regimes and their transition from quantum to classical. This measurement-based formulation is experimentally verified in both limits of Photon-Induced Near-field Electron Microscopy (PINEM) and the classical acceleration regime using a Dielectric Laser Accelerator (DLA). Our results shed new light on the transition from quantum to classical electrodynamics, enabling us to employ the essence of the wave-particle duality of both light and electrons in quantum measurement for exploring and applying many light–matter interactions.
Yiming Pan is an Assistant Professor (PI) at the School of Physical Science and Technology and Center for Transformative Science at ShanghaiTech University, Overseas Talent and Shanghai Leading Talent. His research interests include ultrafast electron beam control and interactions in free electron quantum optics, quantum simulation and topological optics, and nonlinear optics. Achievements include more than 30 articles in such as Nature Physics (1), PRL (6), Nature Communication (2), Science Advances (1), Advance Materials (3), Light Science and Applications (1) and Laser Photonics Review (2). Currently, he is developing ultrafast free-electron quantum platforms including topological-photonics-based ultrafast electron microscopes (UTEM), dielectric laser accelerators and quantum free electron lasers.
个人主页: https://spst.shanghaitech.edu.cn/pym/list.htm;
知乎主页: https://www.zhihu.com/people/yimingpan-1204/posts.
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