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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/70B4B919-1F81-4187-824E-0509FF282F5E | ||
| Year | 2014 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
| License |
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| Bibliographic Citation | P. A. Ivanov, N. I. Karchev, N. V. Vitanov and D. G. Angelakis, "Quantum simulation of superexchange magnetism in linear ion crystals" Phys. Rew. A, vol. 90, no. 1, Jul. 2014. doi: http://dx.doi.org/10.1103/PhysRevA.90.012325 https://doi.org/10.1103/PhysRevA.90.012325 | ||
| Appears in Collections |
We present a system for the simulation of Heisenberg models with spins s=12 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.
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