Interplay of Density and Phase Fluctuations in Ultracold One-dimensional Bose Gases

Abstract

The relative importance of density and phase fluctuations in ultracold one dimensional atomic Bose gases is investigated. By defining appropriate characteristic temperatures for their respective onset, a broad experimental regime is found, where density fluctuations set in at a lower temperature than phase fluctuations. This is in stark contrast to the usual experimental regime explored up to now, in which phase fluctuations are largely decoupled from density fluctuations, a regime also recovered in this work as a limiting case. Observation of the novel regime of dominant density fluctuations is shown to be well within current experimental capabilities for both ${}^{23}Na$ and ${}^{87}Rb$, requiring relatively low temperatures, small atom numbers and moderate aspect ratios.

arXiv commentExpanded experimental discussion, modified Fig. 3

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