哈伯德模型与随机局部障碍的时间顺序相关性
Chakradhar Rangi1, Juana Moreno1,2, Ka-Ming Tam1,2
1Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA.
Chaos (Woodbury, N.Y.)
|July 23, 2024
概括
随机乱加速了量子信息杂乱,通过时间外顺序关联器 (OTOC) 测量,在相互作用的金属系统中. 这种效应在弱相互作用极限内在哈伯德模型中被观察到.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子信息理论 量子信息理论
- 计算物理 计算物理
背景情况:
- 时间外顺序相关因子 (OTOC) 是量化多体量子系统中的量子混乱和信息杂乱的关键可观测物.
- 了解电子相互作用和混乱之间的相互作用对于描述真实材料的行为至关重要.
- 之前的研究已经在各种模型中探索了OTOC,但包括相互作用和障碍在内的综合治疗通常具有挑战性.
研究的目的:
- 开发和应用一个理论方法来计算OTOC在相关的费米离子系统,既有混乱和电子-电子相互作用.
- 为了研究随机障碍对量子信息传播在哈伯德模型中的特定影响.
- 探索当前扰乱方法在研究这些复杂的量子现象中的局限性.
主要方法:
- 使用了非平衡动态平均场理论 (DMFT) 和连贯电位近似 (CPA) 的组合.
- 在Schwinger-Keldysh轮上使用图形扰动理论来计算OTOC.
- 在弱相互作用条件下的金属阶段将该方法应用于哈巴德模型.
主要成果:
- 证明随机障碍显著提高了哈伯德模型金属阶段OTOC的衰变速率.
- 这种OTOC衰变的增强表明由于混乱而加速的量子信息杂乱.
- 扰动溶解器的准确性仅限于弱电子相互作用的模式.
结论:
- 随机乱在加速相互作用的费米离子系统中的量子信息杂乱中起着至关重要的作用.
- 开发的理论框架提供了对量子混乱的动态的洞察力,在相互作用和混乱的存在下.
- 需要进一步开发非扰动性方法,以将这些发现扩展到更强的相互作用模式.
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