Title: Observation of ultra-high mobility excitons in a strain field by space- and time-resolved spectroscopy at sub-Kelvin temperatures

Abstract: We measured basic parameters such as the lifetime, mobility, and diffusion constant of trapped paraexcitons in cuprous oxide at very low temperatures (below 1 K) using a dilution refrigerator. To obtain these parameters, we observed the space- and time-resolved luminescence spectrum of paraexcitons in strain-induced trap potential. We extracted the lifetime of 410 ns from the measurements of the decay of the luminescence intensity. By comparing the experimental results and numerical calculations, we found that the mobility and the diffusion constant increase as the temperature of the paraexcitons decreases below 1 K. In particular, we obtained a mobility of 5.1e7 cm^2/V*s at the corresponding temperature of 280 mK. To the best of our knowledge, this value is the highest exciton mobility that has been measured. These results show that the mean free path of the paraexcitons reaches a size (~300 um) comparable to that of the cloud of trapped paraexcitons (~100 um). From our analyses, we found that the spatial distribution of the paraexcitons can reach a distribution that is defined by the statistical distribution function and the shape of the three-dimensional trap potential at ultra-low temperatures (well below 1 K). Our survey shows that the ultra-low temperature ensures that the Bose--Einstein condensation transition in a trap potential can be investigated by examining the spatial distribution of the density of 1s paraexcitons.