Dissipative response of a circularly driven synthetic atomic erbium quantum Hall system

Cold atomic gases are attractive platforms for creating and probing topological states and phases. Here we report an experimental study of the dissipative response of a synthetic quantum Hall system, realized in the two-dimensional state space consisting of one spatial and one synthetic dimension encoded in the Zeeman structure of erbium ground state atoms. The dissipative response of topological systems, leading to a circular dichroism, is linked to the transport properties through a Kramers-Kronig relation. Our experimental observations give evidence for a difference in the loss rates of the erbium synthetic quantum system for left- and right-handed circular driving respectively. The current status of this ongoing experiment will be reported.