Quantum simulation of superexchange magnetism in linear ion crystals

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 th...

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Bibliographic Details
Published in:arXiv.org 2015-02
Main Authors: Ivanov, Peter A, Karchev, Naoum I, Vitanov, Nikolay V, Angelakis, Dimitris G
Format: Article
Language:English
Subjects:
Atomic structure
Computer simulation
Coupling
Heisenberg theory
Magnetism
Phonons
Statistical models
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1405.6071