论文标题
量子链梯子中有限绕组密度的结晶相
Crystalline phases at finite winding densities in a quantum link ladder
论文作者
论文摘要
量规理论的凝结物理学与费米子结合可以表现出丰富的相结构，但是在蒙特卡洛模拟中受到符号问题的困扰，在蒙特卡洛模拟中很难研究。作为另一种方法，我们使用张量网络方法来探索没有动态问题的Abelian仪表理论的有限密度物理。作为一个具体的例子，我们考虑了U（1）规格不变的量子链路梯子，带有旋转1/2量规场的外部电场中，这会导致绕线电通量在基态下凝结。我们演示了电通管如何在散装中排列，从而产生了结晶图案，可以通过调整外部场来控制其周期。我们建议可观察的物品，不仅在数值实验中，而且在未来的冷原子实现中检测基态性质中的过渡。概述了一个系统的系统，用于达到热力学极限，并概述了从梯子扩展到扩展几何形状的研究。
Condensed matter physics of gauge theories coupled to fermions can exhibit a rich phase structure, but are nevertheless very difficult to study in Monte Carlo simulations when they are afflicted by a sign problem. As an alternate approach, we use tensor network methods to explore the finite density physics of Abelian gauge theories without dynamical matter. As a concrete example, we consider the U(1) gauge invariant quantum link ladder with spin-1/2 gauge fields in an external electric field which cause the winding electric fluxes to condense in the ground state. We demonstrate how the electric flux tubes arrange themselves in the bulk giving rise to crystalline patterns, whose period can be controlled by tuning the external field. We propose observables to detect the transitions in ground state properties not only in numerical experiments, but also in future cold-atom realizations. A systematic procedure for reaching the thermodynamic limit, as well as extending the studies from ladders to extended geometries is outlined.
