Spin dynamics in low-dimensional quantum gases

Cooled to nano-Kelvin temperatures, ultracold dilute atomic gases manifest as macroscopic quantum systems. Observable in experiments, atomic quantum gases give direct access to the physics of low-dimensional quantum phenomena. Be it the simulators of condensed matter systems or components of novel quantum technologies, it is of imense value to know the transport properties of ultracold atomic quantum gases to a fine detail. In this talk, we shall discuss that thermal fluctuations in a two-dimensional spinor system, in particular binary Bose-Bose mixtures, are much more important than in three dimensions. Not only they inhibit true Bose-Einstein condensation, as already well known, but they also smoothen all sharp features in the spin properties at finite temperature.