A glowing “pool” of light reveals swirling blue and orange vortices, the “dark points” where light intensity vanishes. These features, measured by Technion researchers, can move faster than light without violating relativity, offering new insight into the hidden dynamics of wave phenomena.

https://doi.org/10.1038/s41586-026-10209-z

Here we present free-electron Ramsey imaging - a microscopy approach based on light-induced electron modulation that enables the coherent amplification of optical near fields in electron imaging.

https://doi.org/10.1038/s41566-024-01451-w

The theory of extreme nonlinear optics driven by squeezed light, introducing the quantum state of the driving field as a degree of freedom. The shaping the quantum state of light enables the production of far higher harmonics.

https://doi.org/10.1038/s41567-023-02127-y

The authors present experimental evidence revealing the quantum nature of the interaction between photons and free electrons. They combine an ultrafast transmission electron microscope with a silicon-photonic nanostructure that confines and strengthens the interaction between the light and the electrons. The “quantum” statistics of the photons are imprints onto the propagating electrons and are seen directly in their energy spectrum.

https://doi.org/10.1126/science.abj7128

The authors developed a photonic-cavity platform for multidimensional nanoscale imaging and spectroscopy of free-electron interactions, directly measuring cavity-photon lifetime and demonstrating strongly enhanced, quantum-coherent coupling between free electrons and confined light.

https://doi.org/10.1038/s41586-020-2321-x

The observation of coherent electron phase-matching with a propagating wave is a type of inverse-Cherenkov interaction that occurs with a quantum electron wavefunction, demonstrating how the extended nature of the electron wavefunction can alter stimulated electron–light interactions.

https://doi.org/10.1038/s41567-020-01042-w

Our approach, which we call the Ramanujan Machine, finds dozens of well-known formulas as well as previously unknown ones. It offers a new conceptual framework for research, in which computer algorithms use numerical data to uncover mathematical structure.

https://doi.org/10.1038/s41586-021-03229-4