Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
Robert P. Smith, Robert L. D. Campbell, Naaman Tammuz, and Zoran, Hadzibabic

TL;DR
This study measures how interactions affect the critical temperature of a trapped Bose gas, confirming mean-field predictions for weak interactions and revealing beyond-mean-field effects at stronger interactions.
Contribution
It provides high-precision experimental data on the critical temperature shifts due to interactions, including beyond-mean-field effects in a trapped Bose gas.
Findings
Negative shift of critical temperature for weak interactions
Positive shift indicating beyond-mean-field correlations for strong interactions
Discussion of non-equilibrium effects on critical temperature
Abstract
We perform high-precision measurements of the condensation temperature of a harmonically-trapped atomic Bose gas with widely-tuneable interactions. For weak interactions we observe a negative shift of the critical temperature in excellent agreement with mean-field theory. However for sufficiently strong interactions we clearly observe an additional positive shift, characteristic of beyond-mean-field critical correlations. We also discuss non-equilibrium effects on the apparent critical temperature for both very weak and very strong interactions.
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