The Hall effect, originating from the motion of charged particles in magnetic fields, has deep consequences for the description of materials, extending far beyond condensed matter. Understanding such an effect in interacting systems represents a fundamental challenge, even for small magnetic fields. In a very recent work, we use an atomic quantum simulator to track the motion of ultracold fermionic 173^Yb atoms in two-leg ribbons threaded by artificial magnetic fields. We unveil a universal interaction-independent behavior above an interaction threshold, in agreement with theoretical analyses. More in detail, we monitor the real-time dynamics of the system following the instantaneous quench of a linear potential, which tilts the lattice along x and mimics the action of a longitudinal electric field Ex. We observe that the combined action of Ex and the synthetic magnetic flux φ triggers a longitudinal current Jx, accompanied by the Hall polarization of the system along the transverse direction. Through controllable quench dynamics, we measure the Hall response for a range of synthetic tunneling and atomic interaction strength. Our system, able to reach hard-to-compute regimes, also demonstrates the power of quantum simulation to investigate strongly correlated topological states of matter.
|Presenter name||Jacopo Catani|
|online poster URL||https://doi.org/10.48550/arXiv.2205.13567|
|How will you attend ICAP-27?||I am planning on virtual registration for online attendance|