论文标题

嘈杂的晶格量规理论中的动力量子相变

Dynamical quantum phase transitions in a noisy lattice gauge theory

论文作者

Jensen, Rasmus Berg, Pedersen, Simon Panyella, Zinner, Nikolaj Thomas

论文摘要

晶格量表理论(LGT)构成了一种与高能量粒子物理学和低能凝结物理物理物理学高度相关的有趣类别的理论类别,其工程量子设备的快速开发提供了研究的新工具,例如。这种理论的动力。已知大规模的雪松模型表现出更为复杂的理论的复杂特性,并且最近被证明可以从平衡中进行动力学量子相变。使用当前的技术,对于成功的量子模拟而言,噪声是不可避免的,并且可能致命。本文研究了$(1+1)$ d u $(1)$ Quantum链接模型的动力学,后者是在质量术语的迹象之后。我们发现,不仅可以在NISQ时代的设备中以现实的速率处理噪声,并承诺使用当前技术研究目标动态的可能性,而且可以从简单模型来理解噪声的效果。具体而言,位翼通道的仪表破坏性会导致状态幅度的指数衰减,因此可观察到,这不会影响感兴趣的结构。这一点尤其重要,因为它表明可以使用仅表现出近似规格不变性的设备来成功研究量规理论。

Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both high-energy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to study e.g. dynamics of such theories. The massive Schwinger model is known to exhibit intricate properties of more complicated theories and has recently been shown to undergo dynamical quantum phase transitions out of equilibrium. With current technology, noise is inevitable and potentially fatal for a successful quantum simulation. This paper studies the dynamics subject to noise of a $(1+1)$D U$(1)$ quantum link model following a quench of the sign of the mass term. We find that not only is the system capable of handling noise at rates realistic in NISQ-era devices, promising the possiblity to study the target dynamics with current technology, but the effect of noise can be understood in terms of simple models. Specifically the gauge-breaking nature of bit-flip channels results in exponential dampening of state amplitudes, and thus observables, which does not affect the structures of interest. This is especially important as it demonstrates that the gauge theory can be successfully studied with devices that only exhibit approximate gauge invariance.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源