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.