在萨赫德夫-耶-基塔耶夫模型中的 Sparsity-Independent Lyapunov 指数
Antonio M García-García1, Chang Liu1, Jacobus J M Verbaarschot2
1Shanghai Center for Complex Physics, School of Physics and Astronomy, <a href="https://ror.org/0220qvk04">Shanghai Jiao Tong University</a>, Shanghai 200240, China.
Physical review letters
|September 13, 2024
概括
在稀疏的Sachdev-Ye-Kitaev (SYK) 模型中Lyapunov指数的和表明存在重力双重. 这一发现支持了通用约束理论.
科学领域:
- 量子场理论 量子场理论
- 凝聚物质物理学 凝聚物质物理学
- 量子引力就是量子引力.
背景情况:
- 建议在利亚普诺夫指数上建立一个通用界限,其和值被推测为重力双重.
- 密集的Sachdev-Ye-Kitaev (SYK) 模型,涉及具有q体相互作用的N Majorana子,在低温下表现出这种和.
研究的目的:
- 在稀疏的SYK模型中研究利亚普诺夫指数的和.
- 探索利亚普诺夫指数对稀疏性和系统大小的依赖.
- 在稀疏的SYK模型中提供重力双重存在的证据.
主要方法:
- 计算时间顺序之外的相关系数 (OTOC) 用于最多为N=64费米子的稀疏SYK模型.
- 在GPU上开发一种新的量子自旋模型模拟库,利用无矩阵的克里洛夫子空间方法.
- 对稀疏性驱动的统计波动和有限尺寸缩放的分析.
主要成果:
- 利亚普诺夫指数在稀疏SYK模型中没有显著的依赖稀疏度,即使在透极限附近.
- 在稀疏的SYK模型的低温极限中发现了利阿普诺夫指数和的强有力的支持.
- 开发的模拟库大大减少了模拟时间和内存使用量.
结论:
- 在稀疏的SYK模型中Lyapunov指数的和强化了重力双重的猜测.
- 这一发现扩大了展示重力双重性的场理论的类别.
- 开发的计算方法使得大型量子系统的高效模拟成为可能.
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