Real-time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
Real-time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
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冷原子模拟晶格规范-希格斯模型的实时动力学和可行实验建议
DOI：
10.1088/1367-2630/17/6/063005
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
T.Matsui
中科院分区：
文献类型：
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作者：
Y.Kuno;K.Kasamatsu;Y.Takahashi;I.Ichinose;T.Matsui
格点规范理论为研究高能物理如量子色动力学中的正则模型提供了一种重要的非微扰方法。在格点规范理论的其他模型中，格点规范-希格斯模型是一个非常重要的模型，因为它描述了与安德森-希格斯机制相关的各种现象/模型，例如超导性，粒子物理学的标准模型和早期宇宙的膨胀过程。在本文中，我们首先表明，原子描述的格点规范模型，使我们能够探索实时动态的规范变量使用Gross-Pitaevskii方程。电通量的时间发展的数值模拟揭示了模型的动态方面的一些有趣的特性，并确定其相图。接下来，为了在冷原子填充的光学晶格上实现U（1）格点规范-Higgs模型的量子模拟，我们提出了两种可行的方法：（i）激发带中的Wannier态和（ii）多层光学晶格中的偶极原子。我们注意高斯定律的约束，避免非定域规范相互作用。
Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the lattice gauge–Higgs model is a quite important one because it describes a wide variety of phenomena/models related to the Anderson–Higgs mechanism, such as superconductivity, the standard model of particle physics, and the inflation process of the early Universe. In this paper, we first show that atomic description of the lattice gauge model allows us to explore real-time dynamics of the gauge variables by using the Gross–Pitaevskii equations. Numerical simulations of the time development of an electric flux reveal some interesting characteristics of the dynamic aspect of the model and determine its phase diagram. Next, to realize a quantum simulator of the U (1) lattice gauge–Higgs model on an optical lattice filled by cold atoms, we propose two feasible methods:(i) Wannier states in the excited bands and (ii) dipolar atoms in a multilayer optical lattice. We pay attention to the constraint of Gauss's law and avoid nonlocal gauge interactions.