# Radiative and collisional processes in translationally cold samples of hydrogen Rydberg atoms studied in an electrostatic trap

## TL;DR

This study investigates the decay mechanisms of hydrogen Rydberg atoms in an electrostatic trap across various temperatures, revealing the significant influence of thermal radiation and the limitations of current simulations in predicting long-term atom populations.

## Contribution

It provides the first detailed experimental analysis of radiative and collisional decay processes of cold hydrogen Rydberg atoms in a controlled environment across a wide temperature range.

## Key findings

- Decay at room temperature is faster due to thermal radiation effects.
- At low temperatures, decay becomes multiexponential with rates scaling as n^{-4}.
- Simulations underestimate long-term atom populations by two orders of magnitude.

## Abstract

Supersonic beams of hydrogen atoms, prepared selectively in Rydberg-Stark states of principal quantum number $n$ in the range between 25 and 35, have been deflected by 90$^\circ$, decelerated and loaded into off-axis electric traps at initial densities of $\approx 10^6$ atoms/cm$^{-3}$ and translational temperatures of 150 mK. The ability to confine the atoms spatially was exploited to study their decay by radiative and collisional processes. The evolution of the population of trapped atoms was measured for several milliseconds in dependence of the principal quantum number of the initially prepared states, the initial Rydberg-atom density in the trap, and the temperature of the environment of the trap, which could be varied between 7.5 K and 300 K using a cryorefrigerator. At room temperature, the population of trapped Rydberg atoms was found to decay faster than expected on the basis of their natural lifetimes, primarily because of absorption and emission stimulated by the thermal radiation field. At the lowest temperatures investigated experimentally, the decay was found to be multiexponential, with an initial rate scaling as $n^{-4}$ and corresponding closely to the natural lifetimes of the initially prepared Rydberg-Stark states. The decay rate was found to continually decrease over time and to reach an almost $n$-independent rate of more than (1 ms)$^{-1}$ after 3 ms. To analyze the experimentally observed decay of the populations of trapped atoms, numerical simulations were performed which included all radiative processes, i.e., spontaneous emission as well as absorption and emission stimulated by the thermal radiation. These simulations, however, systematically underestimated the population of trapped atoms observed after several milliseconds by almost two orders of magnitude, although they reliably predicted the decay rates of the remaining atoms in the trap. The