Many-body physics in a trapped ion quantum simulator

Abstract

Many-body quantum systems are often hard to simulate on a computer, due to the computational complexity generated by non-classical correlations or entanglement between parts of these systems. An alternate platform is to experimentally simulate non-trivial quantum models on synthetic quantum matter composed of cold atomic systems. These systems exhibit excellent quantum coherence properties due to their isolation from environment, and hence faithfully evolve in time under the prescribed quantum Hamiltonian. In this talk, I will focus on simulating models of quantum magnetism with laser-cooled trapped atomic ions. Two internal states of each ion represent a spin-1/2 system that can be initialized, manipulated, and detected with near perfection by laser beams. Precisely tuned optical dipole forces couple individual spins to the collective vibrational (phonon) states of the ions, which mediate effective spin-spin interactions. By suitably tailoring these couplings, the interactions can be tuned dynamically in magnitude, sign, and range, allowing for the investigation of a large class of problems in quantum many-body physics.