Realizing topological edge states with Rydberg-atom synthetic dimensions

          @misc{ pirsa_PIRSA:22070006,
            doi = {10.48660/22070006},
            url = {https://pirsa.org/22070006},
            author = {Killian, Thomas},
            keywords = {Quantum Information},
            language = {en},
            title = {Realizing topological edge states with Rydberg-atom synthetic dimensions},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {jul},
            note = {PIRSA:22070006 see, \url{https://pirsa.org}}
          }
          

Abstract

"A quantum system evolving on a manifold of discrete states can be viewed as a particle moving in a real-space lattice potential. Such a synthetic dimension provides a powerful tool for quantum simulation because of the ability to engineer many aspects of the Hamiltonian describing the system. In this talk, I will describe a synthetic dimension created from Rydberg levels in an 84-Sr atom, in which coupling between the states is induced with millimeter-waves. Tunneling amplitudes between synthetic lattice sites and on-site potentials are set by the millimeter-wave amplitudes and detunings respectively. Alternating weak and strong tunneling in a one-dimensional configuration realizes the single-particle Su-Schrieffer-Heeger Hamiltonian, a paradigmatic model of topological matter. I will also briefly describe our recent results creating ultralong-range Rydberg molecule (ULRRM) dimers in an interacting Bose gas and probing nonlocal three-body spatial correlations with ULRRM trimers. Kanungo, S.K., Whalen, J.D., Lu, Y. et al. Realizing topological edge states with Rydberg-atom synthetic dimensions. Nat Commun 13, 972 (2022). https://doi.org/10.1038/s41467-022-28550-y "