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arXiv 1702.01922quant-ph
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多连通Jaynes-Cummings晶格中的量子相变

Quantum phase transition in a multiconnected Jaynes-Cummings lattice

Jian Xue, Kangjun Seo, Lin Tian, Tao Xiang

摘要:

量子技术的快速发展使得具有相关光子和极化激元的人工多体系统的实现成为可能。多连通Jaynes-Cummings(MCJC)晶格可以通过交替连接量子比特和腔来构造。此类模型可以通过耦合到超导微波谐振器的超导量子位或耦合到光学纳米腔的量子点来实现。利用密度矩阵重整化群方法研究了一维MCJC晶格的物理性质。该模型在左右量子位-腔耦合之间具有内在对称性。这些耦合之间的竞争可以驱动基态要么莫特绝缘或超流相在整数填充。我们计算了单粒子和密度-密度关联函数,Mott绝缘相的关联长度和超流相的Luttinger参数,并精确地确定了分离这两个相的临界点。

英文摘要:

The rapid progress in quantum technology enables the implementation of artificial many-body systems with correlated photons and polaritons. A multiconnected Jaynes-Cummings (MCJC) lattice can be constructed by connecting qubits and cavities alternatively. Such kind of models can be realized with superconducting qubits coupled to superconducting microwave resonators or with quantum dots coupled to optical nanocavities. We study physical properties of the one-dimensional MCJC lattice using the density-matrix renormalization group method. This model has an intrinsic symmetry between the left and right qubit-cavity couplings. The competition between these couplings may drive the ground state either to a Mott-insulating or to a superfluid phase at an integer filling. We calculate the single-particle and density-density correlation functions, the correlation lengths in the Mott-insulating phase and the Luttinger parameters in the superfluid phase, and determine accurately the critical points that separate these two phases.

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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