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具有有限纠的关键动态的普遍性
N E Sherman1,2, A Avdoshkin1, J E Moore1,2
1Department of Physics, University of California, Berkeley, California 94720, USA.
Physical review letters
|September 22, 2023
概括
有限纠改变了量子基布尔-祖雷克机制,影响了量子关键现象. 一个新的缩放函数描述了这种效应,对于量子计算和模拟至关重要.
科学领域:
- 量子物理学的量子物理学
- 凝聚物质理论 凝聚物质理论
- 计算物理学的计算物理.
背景情况:
- 量子基布尔-祖雷克机制预测了跨越量子临界点时的普遍行为.
- 这种机制在量子计算和模拟中应用,经常与矩阵产品状态 (MPS) 研究相比较.
- 然而,捕捉纠的局限性可能会改变机制的预测.
研究的目的:
- 为了研究有限纠如何影响接近临界的量子系统的低能动力学.
- 用MPS描述的关键点提供理解这些修改的理论框架.
- 确定纠在时间依赖的关键现象中的作用.
主要方法:
- 在Kibble-Zurek过程中为有限纠效应推导一个缩放函数.
- 使用具有有限债券维度 (χ) 的矩阵产品状态 (MPS) 的数值模拟.
- 在横向场的伊辛模型和三态波茨模型上测试衍生的缩放函数.
主要成果:
- 有限纠对基布尔-祖雷克过程的影响是由一个无维缩放函数描述的.
- 这个函数取决于动态和纠确定长度尺度的比率.
- 数值结果证实了不同模型的缩放崩,并显示了有限的债券维度的算法独立性.
- 在有限的债券维度 χ 的动态是独立于所选择的算法.
结论:
- 有限纠在时间依赖的关键现象中起着精确的作用.
- 衍生的缩放函数为计算量子模拟和实验中的纠限制提供了一种方法.
- 这项工作对量子状态的准备和量子状态的经典模拟有直接影响.
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