By employing forces which depend on the internal atomic state (or spin) of an atomic ion, the Coulomb potential energy of a strongly coupled array of ions can be modified in a spin-dependent way to mimic effective quantum spin Hamiltonians. Both ferromagnetic and anti-ferromagnetic interactions can be implemented. We use simple models to explain how the effective spin interactions are engineered with trapped ion crystals. We summarize the type of effective spin interactions that can be readily generated, and discuss an experimental implementation using single- plane ion crystals in a Penning trap.
Proceedings Title: Proceedings of the 10th International Workshop on Non-Neutral Plasmas
Conference Dates: August 27-30, 2012
Conference Location: Greifswald,
Conference Title: AIP Conference Proceedings: Proceedings of the 10th International Workshop on Non-Neutral Plasmas
Pub Type: Conferences
ion traps, Ising interaction, Penning trap, quantum simulation