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Pendellösung length-scale neutron and X-ray interferometry

This paper demonstrates the fabrication and dual neutron/X-ray operation of record-thin silicon triple-Laue interferometers with sub-micron precision, enabling reduced beam spreading for improved imaging and access to the pendellösung regime for engineered quantum-optical beam splitting.

Original authors: Owen Lailey, Alexandre Boutot, David G. Cory, Joseph P. Cotter, Vishal Dhamgaye, Tao Hong, Michael G. Huber, Young-June Kim, Winfried Kockelmann, Jeremy W. Paster, Dusan Sarenac, Kawal Sawhney, Naume
Published 2026-09-22
📖 5 min read🧠 Deep dive

Original authors: Owen Lailey, Alexandre Boutot, David G. Cory, Joseph P. Cotter, Vishal Dhamgaye, Tao Hong, Michael G. Huber, Young-June Kim, Winfried Kockelmann, Jeremy W. Paster, Dusan Sarenac, Kawal Sawhney, Naume Shentevski, Ivar Taminiau, Dmitry A. Pushin

Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

In the quiet world of quantum physics, scientists often use waves to probe the deepest secrets of matter. Just as ripples on a pond can interfere with one another to create patterns of light and dark, beams of particles like neutrons or X-rays can be split and recombined to reveal how they have traveled. To do this, researchers use a device called a perfect-crystal interferometer. Imagine a single, flawless block of silicon crystal cut into three thin, parallel slices. When a beam of particles enters the first slice, the crystal's internal structure acts like a prism, splitting the beam into two separate paths that travel side by side. These paths are then redirected by the second slice and brought back together by the third. If the paths are perfectly aligned, the waves meet in harmony, creating a bright signal; if they are slightly out of step, they cancel each other out. This delicate dance of waves allows scientists to measure tiny changes in the environment, map the internal structure of materials with incredible precision, or test the fundamental laws of the universe. For decades, however, the thickness of these crystal slices has been a limiting factor. Thick slices cause the beams to spread out and blur, much like a flashlight beam widening as it travels through fog, which washes out the fine details scientists are trying to see.

A team of researchers has now overcome this limitation by creating the thinnest crystal interferometers ever built, pushing the technology into a new regime where the thickness of the crystal itself becomes a tool for control. Working with silicon crystals, they fabricated devices where each of the three slices was only 110 micrometers thick, roughly the width of a human hair, and another set where the slices were 350 micrometers thick. To put this in perspective, previous high-performance devices used slices nearly a millimeter thick, which is about eight times wider than their new thinnest version. By making the slices so thin, the researchers eliminated the blurring effect that had long plagued these instruments. When they tested these new devices with both neutrons and X-rays, they found that the beams stayed tightly focused, preserving sharp details that were previously lost. The thinnest device, at 110 micrometers, reached a specific scale where the crystal's thickness naturally dictates how the beam splits, allowing scientists to engineer the behavior of the particles simply by adjusting the size of the crystal slice.

The success of this experiment was not guaranteed, as making multiple thin slices of crystal that are identical in thickness over a large area is an immense manufacturing challenge. The team used a specialized, non-etching technique to carve these delicate structures, ensuring that the slices were uniform enough to support high-quality interference. They tested their creations in various settings, including a laboratory X-ray diffractometer and major research facilities that generate powerful beams of neutrons and X-rays. In the X-ray tests, the new devices produced clear interference patterns with a contrast level approaching 80 percent in single snapshots, a strong indication that the waves were recombining cleanly. When they measured the width of the neutron beams passing through the devices, they confirmed that the thinner slices reduced the spreading of the beam by a factor of eight compared to the older, thicker devices. This reduction in spreading means that images created with these new interferometers will be significantly sharper, allowing for better visualization of soft materials and subtle structural changes that were previously invisible.

Beyond improving image clarity, these new devices open the door to a different kind of control over quantum beams. In the past, scientists had to rely on external equipment to manipulate how a beam split or reflected. Now, because the crystal thickness is so close to a natural length scale known as the pendellösung length, the crystal itself acts as a tunable switch. By choosing a specific thickness, the researchers can ensure that the crystal splits the beam exactly in half, or reflects it entirely, without needing extra components. This capability is crucial for future experiments that require precise manipulation of particle properties, such as measuring the electric dipole moment of a neutron or studying how a neutron's spin interacts with its motion. The researchers also explored the possibility of stacking many of these thin slices together to create even more sensitive instruments. Their simulations suggest that while the manufacturing requirements become stricter as more slices are added, the precision needed is still within reach of current technology.

The results of this work demonstrate that the era of thick, blurring interferometers is giving way to a new generation of ultra-thin, high-precision tools. The team showed that these devices work reliably even in environments without perfect temperature or vibration control, a testament to their robust design. While the current measurements were taken under less-than-ideal conditions, the researchers expect that placing these devices in fully stabilized environments will push their performance even higher, potentially reaching near-perfect clarity. This achievement marks a significant step forward for both neutron and X-ray science, offering a path to higher-resolution imaging and more sensitive tests of fundamental physics. By mastering the art of making these microscopic crystal slices, the researchers have provided a new foundation for exploring the quantum world with a level of detail that was previously out of reach.

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