Jaynes-Cummings-哈伯德模型的动力学临界指数
Dynamical critical exponent of the Jaynes-Cummings-Hubbard model
摘要：
耦合到量子比特的高Q电磁谐振器阵列产生描述晶格极化激元的超流体到莫特绝缘体跃迁的Jaynes-Cummings-哈伯德模型。从平均场和强耦合展开出发，该模型的临界性质可望与标量玻色-哈伯德模型相同。最近的蒙特卡罗研究超流体密度的正方形晶格表明，这并不适用于固定密度过渡通过莫特叶尖。我们用大尺度量子蒙特卡罗模拟研究了超流密度和压缩性的临界行为。我们发现z=1在绝缘波瓣的尖端。因此，这种跃迁属于3D XY普适类，类似于玻色-哈伯德模型。
英文摘要：
An array of high-Q electromagnetic resonators coupled to qubits gives rise to the Jaynes-Cummings-Hubbard model describing a superfluid to Mott insulator transition of lattice polaritons. From mean-field and strong coupling expansions, the critical properties of the model are expected to be identical to the scalar Bose-Hubbard model. A recent Monte Carlo study of the superfluid density on the square lattice suggested that this does not hold for the fixed-density transition through the Mott lobe tip. Instead, mean-field behavior with a dynamical critical exponent z=2 was found. We perform large-scale quantum Monte Carlo simulations to investigate the critical behavior of the superfluid density and the compressibility. We find z=1 at the tip of the insulating lobe. Hence the transition falls in the 3D XY universality class, analogous to the Bose-Hubbard model.
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