Jaynes-Cummings晶格中光的超流-莫特绝缘体跃迁
Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
摘要：
电磁谐振器的规则阵列，依次相干耦合到单个量子二能级系统，表现出从超流相到莫特绝缘相的极化激元的量子相变。因此，这种Jaynes-Cummings晶格的临界行为类似于玻色-哈伯德模型的物理性质。我们通过阐述相变的平均场论来探索这种类比，并提出了几个有用的映射，指出了两个模型的相似性和差异。我们表明，场论的方法可以应用于证明存在的多临界曲线类似的玻色-哈伯德模型的多临界点，我们提供了这些曲线的位置的解析表达式。
英文摘要：
Regular arrays of electromagnetic resonators, in turn coupled coherently to individual quantum two-level systems, exhibit a quantum phase transition of polaritons from a superfluid phase to a Mott-insulating phase. The critical behavior of such a Jaynes-Cummings lattice thus resembles the physics of the Bose-Hubbard model. We explore this analogy by elaborating on the mean-field theory of the phase transition, and by presenting several useful mappings which pinpoint both similarities and differences of the two models. We show that a field-theory approach can be applied to prove the existence of multicritical curves analogous to the multicritical points of the Bose-Hubbard model, and we provide analytical expressions for the position of these curves.
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