具有俘获离子或电路QED的极化子莫特绝缘体
Polariton Mott insulator with trapped ions or circuit QED
摘要：
我们考虑晶格极化激元的Jaynes-Cummings-哈伯德模型的变体，考虑次近邻，对角和长距离光子跳跃在一个和两个维度。这些模型是相关的潜在的实验实现的极化激元莫特绝缘体的基础上捕获的离子或微波带状线谐振器。我们得到的莫特超流相边界和计算激发光谱莫特阶段使用数值和分析方法。包括额外的跳跃项导致一个更大的莫特相位的情况下，被困离子，和一个更小的莫特相位的情况下，带状线谐振器，与原始模型相比，最近邻跳跃。跃迁的临界跳跃在一维中变化高达约50%，在二维中变化高达约20%。相反，激发光谱基本上不受影响。
英文摘要：
We consider variants of the Jaynes-Cummings-Hubbard model of lattice polaritons, taking into account next-nearest-neighbor, diagonal and long-range photon hopping in one and two dimensions. These models are relevant for potential experimental realizations of polariton Mott insulators based on trapped ions or microwave stripline resonators. We obtain the Mott-superfluid phase boundary and calculate excitation spectra in the Mott phase using numerical and analytical methods. Including the additional hopping terms leads to a larger Mott phase in the case of trapped ions, and to a smaller Mott phase in the case of stripline resonators, compared to the original model with nearest-neighbor hopping only. The critical hopping for the transition changes by up to about 50 percent in one dimension, and by up to about 20 percent in two dimensions. In contrast, the excitation spectra remain largely unaffected.
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