Quantum simulations of quantum magnetism with hundreds of trapped ions

POSTER

Abstract

Quantum simulators, where one well-controlled physical system mimics another complex system, may enable understanding of quantum many-body physics that cannot be fully studied using conventional techniques on classical computers. We describe quantum simulations of a network of interacting magnetic spins performed with 2-dimensional arrays of hundreds Be$^{+}$ ions crystallized in a Penning trap. We discuss how we engineer a tunable transverse Ising model, and explain how we generate and observe far-from-equilibrium quantum spin dynamics, including signatures of entanglement. We summarize progress exploring optimized adiabatic protocols for preparing low energy states of the transverse Ising Hamiltonian and implementing a sub-Doppler cooling scheme for the drumhead modes of the ion array.

Authors

  • Kevin Gilmore

    Dept. Physics, U. Colorado, JILA, NIST, and Dept. Phys, U. Colorado, Boulder, CO

  • Justin Bohnet

    National Institute of Standards and Technology, NIST, Boulder, CO, Time and Frequency Division, National Institute of Standards and Technology, Boulder

  • Elena Jordan

    NIST, Boulder, CO

  • Martin Gaerttner

    Univ Heidelberg, University of Heidelberg, JILA, NIST, and Dept. Phys, U. Colorado, Boulder, CO

  • Arghavan Safavi-Naini

    Univ of Colorado - Boulder, JILA, National Institute of Standards and Technology and Department of Physics, University of Colorado, 440 UCB, Boulder, CO 80309, USA, JILA, NIST, and Dept. Phys, U. Colorado, Boulder, CO

  • Ana Maria Rey

    JILA, NIST, Univ of Colorado - Boulder, JILA, JILA, NIST, and Dept. Phys, U. Colorado, Boulder, CO

  • John Bollinger

    National Institute of Standards and Technology, NIST, Boulder, CO, Time and Frequency Division, National Institute of Standards and Technology, Boulder