论文标题
在量子计算机上探测$ \ mathbb {z} _2 $ lattice量规理论中的探测限制
Probing confinement in a $\mathbb{Z}_2$ lattice gauge theory on a quantum computer
论文作者
论文摘要
数字量子模拟器提供了一个桌面平台,用于解决粒子和凝结物理学中的显着问题。晶格仪理论(LGTS)给出了一个特别有意义的目标。它们的成分,例如带电物质和电量量规场,受局部仪表限制的控制,这对工程师来说是高度挑战性的,并且导致有趣但尚未完全理解的特征,例如粒子的限制。在这里,我们在超导量子芯片上的$ \ mathbb {z} _2 $ lgt中模拟限制动力学。我们仅使用6个天然的两倍大门合成了电荷 - 弯曲场相互作用,从而使我们能够达到最多25个猪跑步骤的模拟时间。我们观察到如何调整仅将伴侣耦合到电场的术语如何限制电荷,这是局部仪表约束在两者之间产生的紧密键的表现。此外,我们研究了一种不同的机制,其中修改了从$ \ mathbb {z} _2 $到$ \ mathrm {u}(1)$ symetry冻结系统动力学的量规约束。我们的工作展示了一个巨大的限制,即底层量规限制施加了LGT的动力学,它说明了如何修改和保护规格的约束,并为研究由多体相互作用控制的其他模型铺平了道路。
Digital quantum simulators provide a table-top platform for addressing salient questions in particle and condensed-matter physics. A particularly rewarding target is given by lattice gauge theories (LGTs). Their constituents, e.g., charged matter and the electric gauge field, are governed by local gauge constraints, which are highly challenging to engineer and which lead to intriguing yet not fully understood features such as confinement of particles. Here, we simulate confinement dynamics in a $\mathbb{Z}_2$ LGT on a superconducting quantum chip. We synthesize the charge--gauge-field interaction using only 6 native two-qubit gates, enabling us to reach simulation times of up to 25 Trotter steps. We observe how tuning a term that couples only to the electric field confines the charges, a manifestation of the tight bond that the local gauge constraint generates between both. Moreover, we study a different mechanism, where a modification of the gauge constraint from a $\mathbb{Z}_2$ to a $\mathrm{U}(1)$ symmetry freezes the system dynamics. Our work showcases the dramatic restriction that the underlying gauge constraint imposes on the dynamics of an LGT, it illustrates how gauge constraints can be modified and protected, and it paves the way for studying other models governed by many-body interactions.