Synthetic dimensions and spin-orbit coupling with an optical clock transition
L. F. Livi, G. Cappellini, M. Diem, L. Franchi, C. Clivati, M., Frittelli, F. Levi, D. Calonico, J. Catani, M. Inguscio, L. Fallani

TL;DR
This paper introduces a new method to create spin-orbit interactions in ultracold gases using an optical clock transition, enabling the study of topological states with synthetic dimensions.
Contribution
It demonstrates the synthesis of spin-orbit coupling via a single-photon clock transition and the creation of synthetic fermionic ladders with tunable magnetic flux.
Findings
Detection of spin-orbit coupling using clock spectroscopy
Measurement of chiral edge currents as a function of magnetic flux
Establishment of a platform for topological states in ultracold gases
Abstract
We demonstrate a novel way of synthesizing spin-orbit interactions in ultracold quantum gases, based on a single-photon optical clock transition coupling two long-lived electronic states of two-electron Yb atoms. By mapping the electronic states onto effective sites along a synthetic "electronic" dimension, we have engineered synthetic fermionic ladders with tunable magnetic fluxes. We have detected the spin-orbit coupling with fiber-link-enhanced clock spectroscopy and directly measured the emergence of chiral edge currents, probing them as a function of the magnetic field flux. These results open new directions for the investigation of topological states of matter with ultracold atomic gases.
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