Fully fluctuating simulation of quantized vortices in rotating Bose Einstein Condensates at finite temperature*

We investigate structures of quantized vortices in samples of rotating Bose-Einstein condensates (BECs) of interacting particles at finite temperature in three dimensions using approximation-free field-theoretic simulations conducted with complex Langevin sampling. Most previous studies of such systems have been limited to mean field and zero-temperature analysis. Exact particle-based simulations at finite temperature, such as path integral Monte Carlo, are limited in the study of such systems due to the complex nature of the action. We present vortex structures in fully fluctuating simulations at finite temperature and investigate their relative stability as a function of temperature and rotational velocity. We also compare our results to those obtained with the static Gross-Pitaevskii equation, a mean field approximation that is often used in numerical studies of rotating dilute BECs.