论文标题
楼梯预兆和晶格理论中的动力学限制
Staircase Prethermalization and Constrained Dynamics in Lattice Gauge Theories
论文作者
论文摘要
晶格计理论的动力学以大量局部对称约束为特征。尽管打破量规对称性的错误在NISQ时代的量子模拟器中自然出现，但它们对量规理论动力学的影响不足。如我们所示，强度$λ$的小规模破裂会导致长期寿命的pr虫的楼梯。 prethermal高原的数量随物质场$ l $的数量增加，最后一个高原以时间尺度$λ^{ - l/2} $达到，显示了与局部规范约束数量的动态减慢速度的密切关系。对于NISQ量子设备，我们的结果bode很好，因为它们表明违反规格不变性的增殖时间尺度在系统大小上呈指数式延迟。
The dynamics of lattice gauge theories is characterized by an abundance of local symmetry constraints. Although errors that break gauge symmetry appear naturally in NISQ-era quantum simulators, their influence on the gauge-theory dynamics is insufficiently investigated. As we show, a small gauge breaking of strength $λ$ induces a staircase of long-lived prethermal plateaus. The number of prethermal plateaus increases with the number of matter fields $L$, with the last plateau being reached at a timescale $λ^{-L/2}$, showing an intimate relation of the concomitant slowing down of dynamics with the number of local gauge constraints. Our results bode well for NISQ quantum devices, as they indicate that the proliferation timescale of gauge-invariance violation is counterintuitively delayed exponentially in system size.
