论文标题
在$（3+1）上探索玻璃体和费米子链接模型 - $ D管
Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
论文作者
论文摘要
量子链接模型（QLM）最近引起了广泛的关注，因为威尔逊晶格仪理论（LGT）的概括，并且特别适合于实现量子模拟器和计算机。已知这些模型可以容纳物质的新阶段，并充当粒子和凝结物理物理学之间的桥梁。在本文中，我们使用大规模的精确对角线化（ED）研究了$（3+1）$ - d管中的Abelian $ u（1）$ lattice仪表理论。然后，我们能够使用有限的尺寸缩放技术（FSS）来激励模型的相图，尤其是提出了库仑相的存在。此外，我们介绍了涉及费米子量子链路的第一个模型，该模型概括了具有典型性质的自由度。我们证明，虽然光谱在$ U（1）$ - 对称的量子链接模型$（2+1）$ -D中的玻色子和费米子版本之间保持相同，但它们在$（3+1）$ - d中却不同。我们讨论了实现磁场相互作用的前景，因为量子模拟器实验中的相关跳跃。
Quantum link models (QLMs) have attracted a lot of attention in recent times as a generalization of Wilson's lattice gauge theories (LGT), and are particularly suitable for realization on quantum simulators and computers. These models are known to host new phases of matter and act as a bridge between particle and condensed matter physics. In this article, we study the Abelian $U(1)$ lattice gauge theory in $(3+1)$-d tubes using large-scale exact diagonalization (ED). We are then able to motivate the phase diagram of the model with finite size scaling techniques (FSS), and in particular propose the existence of a Coulomb phase. Furthermore, we introduce the first models involving fermionic quantum links, which generalize the gauge degrees of freedom to be of fermionic nature. We prove that while the spectra remain identical between the bosonic and the fermionic versions of the $U(1)$-symmetric quantum link models in $(2+1)$-d, they are different in $(3+1)$-d. We discuss the prospects of realizing the magnetic field interactions as correlated hopping in quantum simulator experiments.
