Talks

This talk is about the possibility of manipulating the quantum statistics of quantum particles or, as I like to call it, statistically transmuting the “quantum identity” of particles. Here, I illustrate how such a transmutation is indistinguishable from (and therefore ensured by) the minimal coupling of matter to a special type of gauge field. The particular form of the gauge field is something that changes with dimension (whether 1d, 2d, 3d, etc.) but the mechanism is universal. This universality is captured in a dual mapping that allows to interpolate between the two faces of a composite particle duality between a “bare” system with ordinary statistics and a “composite” system with exotic/anyonic statistics. Thus, our work provides a pathway to preparing and studying anyonic matter in arbitrary dimensions. More generally, and simply put, it is a challenge to the immutability of quantum statistics described by traditional quantum and statistical mechanics textbooks. As an illustration, we explore the phenomenology of a soft-core anyonic Lieb-Liniger fluid and find several cool features! Some of them new, like the presence of multi-solitons and chiral dispersive shock waves, and some already found in experiments, such as single chiral solitons and asymmetric expansion dynamics.