QED量子模拟的离散阿贝尔规范理论
Discrete Abelian Gauge Theories for Quantum Simulations of QED
摘要：
我们研究了Wilson哈密顿形式下的格点规范理论。为了实现一维QED的量子模拟器，我们引入了一个具有离散规范对称性$\mathbb{Z}_n$的阿贝尔模型，它近似了大$n$的$U(1)$理论.我们分析了满足广义高斯定律的规范场的有限性和物理态的性质的作用。最后，我们讨论了一个可能的实施策略，涉及到一个有效的物理空间的动态。
英文摘要：
We study a lattice gauge theory in Wilson's Hamiltonian formalism. In view of the realization of a quantum simulator for QED in one dimension, we introduce an Abelian model with a discrete gauge symmetry $\mathbb{Z}_n$, approximating the $U(1)$ theory for large $n$. We analyze the role of the finiteness of the gauge fields and the properties of physical states, that satisfy a generalized Gauss's law. We finally discuss a possible implementation strategy, that involves an effective dynamics in physical space.
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