@article{BalažVidanovicBogojevićetal.2010, author = {Balaž, Antun and Vidanovic, Ivana and Bogojević, Aleksandar and Pelster, Axel}, title = {Ultra-fast converging path-integral approach for rotating ideal Bose-Einstein condensates}, issn = {0375-9601}, doi = {10.1016/j.physleta.2010.01.034}, year = {2010}, abstract = {A recently developed efficient recursive approach for analytically calculating the short-time evolution of the one-particle propagator to extremely high orders is applied here for numerically studying the thermodynamical and dynamical properties of a rotating ideal Bose gas of Rb-87 atoms in an anharmonic trap. At first, the one-particle energy spectrum of the system is obtained by diagonalizing the discretized short-time propagator. Using this, many-boson properties such as the condensation temperature, the ground-state occupancy, density profiles, and time-of-flight absorption pictures are calculated for varying rotation frequencies. The obtained results improve previous semiclassical calculations, in particular for smaller particle numbers. Furthermore, we find that typical time scales for a free expansion are increased by an order of magnitude for the delicate regime of both critical and overcritical rotation.}, language = {en} }