Non-radiating angularly accelerating electron waves

TL;DR

This paper introduces a new class of angular accelerating electron waves that do not radiate despite their acceleration, challenging traditional understanding of radiation from accelerating charges and opening new avenues in quantum control and fundamental physics.

Contribution

The authors construct and analyze angular accelerating electron waves, demonstrating their non-radiating nature and potential applications in quantum information and fundamental physics.

Findings

Generated solenoidal magnetic fields in accelerating electron waves.

Discovered non-radiating behavior of angular accelerating electron waves.

Potential applications in quantum spin control and fundamental physics questions.

Abstract

Accelerating electrons are known to radiate electromagnetic waves, a property that is central to the concept of many devices, from antennas to synchrotrons. While the electrodynamics of accelerating charged particles is well understood, the same is not true for charged matter waves: would a locally accelerating charged matter wave, like its particle counterpart, radiate? Here we construct a novel class of matter waves, angular accelerating electron waves, by superpositions of twisted electrons carrying orbital angular momentum. We study the electrodynamic behaviour of such accelerating matter waves and reveal the generation of a solenoidal magnetic field in each component, and an accelerating electron wave that does not radiate. These novel properties will have practical impact in spin flipping of qubits for quantum information processing, have been suggested for control of time dilation and length contraction, and raise fundamental questions as to the nature of wave-particle duality in the context of radiating charged matter.