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arXiv 1406.5545quant-phphysics.atom-ph
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用于量子模拟的二维离子库仑晶体在扁Paul阱中的产生

Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations

Bryce Yoshimura, Marybeth Stork, Danilo Dadic, W. C. Campbell, J. K. Freericks

摘要:

我们发展的理论来描述的平衡离子的位置和声子模式的被困离子量子模拟器在一个扁圆的保罗陷阱,创建二维库仑晶体在三角形晶格。通过将离子的内部状态耦合到沿对称轴传播的激光束上,我们研究了通过轴向声子介导的有效伊辛自旋-自旋相互作用,该相互作用对离子微动不太敏感。我们发现,轴向模式频率允许编程的伊辛相互作用与逆幂律自旋-自旋耦合,可以从均匀的直流电压调谐到$r^{-3}$。这样的陷阱可以允许有趣的新的几何配置的量子模拟对中等大小的系统,包括挫折的磁性三角晶格或Aharonov-Bohm效应的离子隧道。该陷阱还结合了周期性的边界条件周围的循环,可以用来检查时间晶体。

英文摘要:

We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal states of the ions to laser beams propagating along the symmetry axis, we study the effective Ising spin-spin interactions that are mediated via the axial phonons and are less sensitive to ion micromotion. We find that the axial mode frequencies permit the programming of Ising interactions with inverse power law spin-spin couplings that can be tuned from uniform to $r^{-3}$ with DC voltages. Such a trap could allow for interesting new geometrical configurations for quantum simulations on moderately sized systems including frustrated magnetism on triangular lattices or Aharonov-Bohm effects on ion tunneling. The trap also incorporates periodic boundary conditions around loops which could be employed to examine time crystals.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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