A new way to measure the temperatures of objects by studying the effect of their black-body radiation on Rydberg atoms has been demonstrated by researchers at the US National Institute of Standards and Technology (NIST). The system, which provides a direct, calibration-free measure of temperature based on the fact that all atoms of a given species are identical, has a systematic temperature uncertainty of around 1 part in 2000.

The black-body temperature of an object is defined by the spectrum of the photons it emits. In the laboratory and in everyday life, however, temperature is usually measured by comparison to a reference. “Radiation is inherently quantum mechanical,” says NIST’s Noah Schlossberger, “but if you go to the store and buy a temperature sensor that measures the radiation via some sort of photodiode, the rate of photons converted into some value of temperature that you see has to be calibrated. Usually that’s done using some reference surface that’s held at a constant temperature via some sort of contact thermometer, and that contact thermometer has been calibrated to another contact thermometer – which in some indirect way has been tied into some primary standard at NIST or some other facility that offers calibration services.” However, each step introduces potential error.

This latest work offers a much more direct way of determining temperature. It involves measuring the black-body radiation emitted by an object directly, using atoms as a reference standard. Such a sensor does not need calibration because quantum mechanics dictates that every atom of the same type is identical. In Rydberg atoms the electrons are promoted to highly excited states. This makes the atoms much larger, less tightly bound and more sensitive to external perturbations. As part of an ongoing project studying their potential to detect electromagnetic fields, the researchers turned their attention to atom-based thermometry. “These atoms are exquisitely sensitive to black-body radiation,” explains NIST’s Christopher Holloway, who headed the work.

Packet of rubidium atoms

Central to the new apparatus is a magneto-optical trap inside a vacuum chamber containing a pure rubidium vapour. Every 300 ms, the researchers load a new packet of rubidium atoms into the trap, cool them to around 1 mK and excite them from the 5S energy level to the 32S Rydberg state using lasers. They then allow them to absorb black-body radiation from the surroundings for around 100 μs, causing some of the 32S atoms to change state. Finally, they apply a strong, ramped electric field, ionizing the atoms. “The higher energy states get ripped off easier than the lower energy states, so the electrons that were in each state arrive at the detector at a different time. That’s how we get this readout that tells us the population in each of the states,” explains Schlossberger, the work’s first author. The researchers can use this ratio to infer the spectrum of the black-body radiation absorbed by the atoms and, therefore, the temperature of the black body itself.

The researchers calculated the fractional systematic uncertainty of their measurement as 0.006, which corresponds to around 2 K at room temperature. Schlossberger concedes that this sounds relatively unimpressive compared to many commercial thermometers, but he notes that their thermometer measures absolute temperature, not relative temperature. “If I had two skyscrapers next to each other, touching, and they were an inch different in height, you could probably measure that difference to less than a millimetre,” he says, “If I asked you to tell me the total height of the skyscraper, you probably couldn’t.”

One application of their system, the researchers say, could lie in optical clocks, where frequency shifts due to thermal background noise are a key source of uncertainty. At present, researchers have to perform a lot of in situ thermometry to try to infer the black-body radiation experienced by the clock without disturbing the clock itself. Schlossberger says that, in future, one additional laser, could potentially allow the creation of Rydberg states in the clock atoms. “It’s sort of designed so that all the hardware is the same as atomic clocks, so without modifying the clock significantly it would tell you the radiation experienced by the same atoms that are used in the clock in the location they’re used.”

The work is described in a paper in Physical Review Research. Atomic physicist Kevin Weatherill of Durham University in the UK says “it’s an interesting paper and I enjoyed reading it”. “The direction of travel is to look for a quantum measurement for temperature – there are a lot of projects going on at NIST and some here in the UK,”, he says. He notes, however, that this experiment is highly complex and says “I think at the moment just measuring the width of an atomic transition in a vapour cell [which is broadened by the Doppler effect as atoms move faster] gives you a better bound on temperature than what’s been demonstrated in this paper.”

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