Physicists have successfully captured a rare quantum phenomenon where electrons appear to leap across energy gaps typically considered inaccessible. Researchers from the University of Regensburg, Philipps-Universität Marburg, and Forschungszentrum Jülich utilized a novel slow-motion electron camera to observe these fast movements in graphene, demonstrating how strong electric fields can facilitate electron transitions between different energy states. Their findings were published in the journal Nature.
This phenomenon is akin to stepping into an elevator and skipping directly from the first to the twentieth floor, bypassing all intervening floors. Known as Landau-Zener-Majorana transitions, such events have been theorized to play a significant role in high-speed semiconductor electronics, but direct observation has proven challenging until now.
The researchers revealed that when graphene is subjected to intense light pulses, electrons are prompted to shift from one energy band to another, effectively crossing the intervening forbidden energy gap through a quantum transition. In semiconductors, electrons typically occupy designated energy bands with gaps where stable electron states are not allowed.
To achieve these observations, the scientists developed a technique combining advanced laser technology with electron microscopy. This innovative approach enabled them to explore electron behavior on scales too brief for conventional imaging methods.
Vincent Eggers, the first author of the study, pointed out the necessity of observing multiple electrons simultaneously to capture those undergoing quantum transitions. The team employed a photoemission momentum microscope that, unlike traditional microscopes, does not merely enlarge an image but instead measures the energies and movements of electrons, producing detailed maps of their distribution across various energy states.
One of the critical technical challenges was integrating their measurements with rapidly oscillating powerful light fields while driving the electrons into motion. Rupert Huber, a member of the team, expressed pride in the years of effort that led to real-time tracking of electrons navigating the energy landscape of a solid.
Ulrich Höfer, a collaborator revered in ultrafast electron spectroscopy, shared his excitement at witnessing this fundamental quantum mechanical process during their initial measurement campaign, attributing their success to the high-quality samples used.
The experiment relied on ultra-pure graphene samples produced at Forschungszentrum Jülich. These nearly flawless, one-atom-thick carbon layers were essential for ensuring that impurities did not interfere with the delicate quantum dynamics observed during the experiments. Stefan Tautz from Forschungszentrum Jülich emphasized that such precision was vital to distinguish true quantum effects from potential disruptions caused by defects in the material.
The researchers observed that when exposed to adequately intense light fields, electrons exhibited a transition probability of nearly 100% while crossing the forbidden energy gap. This highlights a remarkable facet of Landau-Zener-Majorana transitions: the capability of electrons to transition between energy states despite substantial separations, fundamentally differing from conventional quantum tunneling.
The implications of this research extend to future electronic technologies that could harness rapid light oscillations to manipulate electrons, moving away from solely relying on electrical voltages. This could enable innovative techniques for controlling electronic properties with unprecedented speed.
The team anticipates that their imaging method will also apply to various other quantum materials, paving the way for investigating previously inaccessible electron dynamics. Giacomo Inzani from the University of Regensburg noted that this achievement marks the beginning of a more extensive exploration into the quantum realm, suggesting promising avenues for light-controlled electronics in the future.


