Approximation-free simulation of finite temperature field theory for interacting bosons in a rotating trap*

We investigate rotating dilute Bose-Einstein condensates (BECs) of interacting particles at finite temperature using approximation-free field theoretic methods. 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. A previous work detailed a numerical scheme that allowed efficient and accurate sampling of the coherent states field theory form of the bosonic path integral, and demonstrated its viability by locating the critical phase transition in an interacting Bose gas. In the present work, we apply the same algorithms to a more complex problem of rotating BECs in a harmonic trap that so far has been limited to mean-field and zero temperature analysis. We first validate our method by comparison with mean-field studies, and present new results from fully-fluctuating simulations at finite temperature.