半组影响矩阵对不平衡的量子不纯模型
Michael Sonner1, Valentin Link2, Dmitry A Abanin3,4
1Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany.
Physical review letters
|November 7, 2025
概括
我们开发了量子杂质模型的新框架,使用有效的半组影响矩阵 (SGIM) 进行准确的实时动态. 这种方法有效地计算了光谱函数和放松率,揭示了损失系统中的Kondo物理.
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:
- 描述出平衡的实时量子动力学在计算上具有挑战性.
- 量子杂质模型的现有方法在准确性和演变时间方面存在局限性.
研究的目的:
- 引入量子杂质模型实时动态的新框架.
- 克服以前方法的局限性,以获得准确的长期进化.
- 提供一个高效的算法,以获得有效的动态地图.
主要方法:
- 开发了一种使用半组影响矩阵 (SGIM) 的影响矩阵方法.
- 使用统一的矩阵-产品状态来表示SGIM.
- 介绍了SGIM计算的高效算法.
- 通过计算光谱函数和放松率进行基准标记.
主要成果:
- 在量子杂质模型的长进化时间中实现了高精度.
- 成功计算了单个杂质安德森模型的高分辨率光谱函数.
- 在量子火后获得的杂质向平衡的放松率.
- 证实了康多物理学在量子杂质模型中出现的两费米子损失.
结论:
- SGIM框架为研究非平衡量子杂质动态提供了一种强大而有效的方法.
- 这种方法可以准确地预测光谱特性和放松动态.
- 该框架成功地捕捉了复杂的现象,如Kondo物理在系统的消散.
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