Preparation of the 1/2-Laughlin state with atoms in a rotating trap

Ultracold atomic systems belong to the most promising platforms to study elusive strongly correlated states such as the fractional quantum Hall state. In our study, we simulate four bosonic atoms in a quasi-two-dimensional rotating trap, which will act as a bosonic analog of electrons in a magnetic field. For rotation frequencies close to the in-plane trapping frequency, the ground state is predicted to be a bosonic Laughlin state at half filling. Here, we study the adiabatic preparation of the Laughlin state by varying the rotation frequency and the ellipticity of the trapping potential. By using tailored ramping speeds for the rotation frequency and ellipticity, we significantly improve the preparation time of the Laughlin state with high fidelity. Finally, this improvement of the adiabatic protocol allows to prepare the Laughlin state with current experimental technology.