Abstract
Scale invariance is a cornerstone symmetry of modern physics, playing a pivotal role in diverse fields ranging from phase transitions and critical phenomena to conformal field theory. It is equally fundamental in cold atom physics, governing the dynamics of systems such as the unitary Fermi gas and two-dimensional quantum gases with contact interactions. The Efimov effect is of intrinsic significance owing to its remarkable universality, serving as a paradigmatic manifestation of discrete scale invariance across vastly different physical systems, from few-body problems in ultracold atoms to biological structures such as helical DNA. In this talk, I will present concrete examples illustrating how scale invariance governs the dynamics of quantum gases. Furthermore, by extending the notion of scale invariance to the framework of analog cosmology, I will demonstrate the emergence of Efimov physics in the context of phonon production and Sakharov oscillations.
Anyone interested is welcome to attend.