With our 6Li quantum gas microscope we are able to prepare, manipulate and image individual ultracold fermions in optical lattices. In every experimental run we have an access to full density and spin resolution , as well as to site-resolved potential shaping . This platform has proven to be promising for the analog quantum simulation, e.g., of Fermi-Hubbard model which is believed to be the key in understanding the cuprate high-temperature superconductors. With this poster I will present the capabilities of our experiment and how we simulate and study the Fermi-Hubbard model, with a focus on our recent findings in undoped ladder systems.
In undoped ladder systems, I will show that we are able to experimentally realize the paradigmatic example of symmetry protected topological (SPT) phase – the spin-1 Haldane chain . This is achieved by creating a tailored spin-1/2 ladder geometry which maps directly to the spin-1 Haldane chain . We detect a finite non-local string correlator in the bulk and localized spin-1/2 states at the edges, which are the main characteristics of the SPT phase. The robustness of the state is confirmed by tuning the ratio of the leg to rung coupling of the ladder.˛
 J. Koepsell et al., Phys. Rev. Lett. 125, 010403 (2019)
 P. Sompet, S. Hirthe, D. Bourgund et al., Nature, doi: 10.1038/s41586-022-04688-z (2022)
 White et al., Phys. Rev. B 53, 52 (1996)
|Presenter name||Petar Bojovic|
|How will you attend ICAP-27?||I am planning on in-person attendance|