在可整合的Sachdev-Ye-Kitaev模型中,信息杂乱和脱节的解剖学
Antonio M García-García1, Chang Liu1,2, Lucas Sá3
1Shanghai Jiao Tong University, Shanghai Center for Complex Physics, School of Physics and Astronomy, Shanghai 200240, China.
Physical review. E
|December 23, 2025
概括
量子系统中的信息杂乱,通过时间外顺序相关函数 (OTOC) 测量,在萨赫德夫-耶-基塔耶夫 (SYK) 模型中显示了不同的阶段. 这些动态,包括振荡,表明量子信息设备的潜力.
科学领域:
- 量子动力学 量子动力学是什么?
- 统计力学 统计力学
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 时间顺序之外的相关函数 (OTOC) 量化了量子系统中的信息杂乱.
- 多体量子力学的特点是混杂的增长和和.
- 萨赫德夫-耶-基塔耶夫 (Sachdev-Ye-Kitaev,简称SYK) 模型为研究量子混乱提供了一个可解决的框架.
研究的目的:
- 分析计算OTOC的完整时间依赖性,用于与浴相结合的可集成SYK模型.
- 在没有环境合的情况下,了解混杂动态的不同阶段.
- 为了研究马科夫浴在有限温度下对杂的效果.
主要方法:
- 对SYK模型的OTOC的分析计算与N个Majoranas和随机无限范围的两体相互作用.
- 分析不同制度的时间演变:多项式增长,功率定律和振荡,线性下降.
- 纳入有限温度的马科维浴来研究环境影响.
主要成果:
- 在没有浴的情况下,OTOC表现出多项式增长,功率定律和振荡,以及由光谱形状因子控制的线性下降.
- 在t~sqrt[N]的线性下降归因于反对称合,一个子负载1/N效应.
- 环境合导致OTOC长时间呈指数的衰变.
- 早期的振荡 (tsqrt[N]) 表明缺乏热化.
结论:
- 该研究提供了SYK模型中信息杂乱的全面分析描述.
- 观察到的热化缺乏,由振荡表明,是量子信息应用的一个有希望的特征.
- 环境影响引入了指数式衰变,改变了杂乱动态.
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