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Quantum Simulation of Superexchange Magnetism in Linear Ion Crystals by Ivanov, Peter A.; Karchev, Naoum I.; Vitanov, Nikolay V.; Angelakis, Dimitris G. is a scholarly article available to read on EtoBox.

What is Quantum Simulation of Superexchange Magnetism in Linear Ion Crystals about?

We present a system for the simulation of Heisenberg models with spins $s=\frac{1}{2}$ and $s=1$ with a linear crystal of trapped ions. We show that the laser-ion interaction induces a Jaynes-Cummings-Hubbard interaction between the atomic V-type level structure and the two phonon species. In the strong-coupling regime the collective atom and phonon excitations become localized at each lattice site and form an effective spin system with varying length. We show that the quantum-mechanical superexchange interaction caused by the second-order phonon hopping processes creates a Heisenberg-type coupling between the individual spins. Trapped ions allow to control the superexchange interactions by adjusting the trapping frequencies, the laser intensity, and the detuning.

Author

Ivanov, Peter A.; Karchev, Naoum I.; Vitanov, Nikolay V.; Angelakis, Dimitris G.

Published

2014

Language

EN