线性离子晶体超交换磁性的量子模拟
Quantum simulation of superexchange magnetism in linear ion crystals
摘要：
我们提出了一个系统，用于模拟海森堡模型与自旋$s=\frac{1}{2}$和$s=1$与线性晶体的囚禁离子。我们发现激光-离子相互作用在原子V型能级结构和两种声子之间产生Jaynes-Cummings-Hubbard相互作用。在强耦合区，集体原子和声子激发局域在每个晶格位置，并形成一个有效的自旋系统与不同的长度。我们表明，由二阶声子跳跃过程引起的量子力学超交换相互作用在单个自旋之间产生海森堡型耦合。被捕获的离子允许通过调节捕获频率、激光强度和失谐来控制超交换相互作用。
英文摘要：
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.
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