f-Sum Rules for Dissipative Systems,Physical Review Letters

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f-Sum Rules for Dissipative Systems
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-04 , DOI: 10.1103/physrevlett.133.100401
Xin-Xin Yang _{1,

1} , Bo-Hao Wu _{1,

1} , Yu Chen ₂ , Wei Zhang _{1,

1,

3}

Affiliation

The

f

-sum rules set general constraints on the response of a quantum many-body system to an external probe and hold significant relevance in the realm of various spectroscopy measurements. In practical conditions, a system unavoidably couples with the environment and acquires effective dissipation. In this Letter, we derive and prove a set of

f

-sum rules for dissipative systems. Within the framework of linear response theory, we obtain the system response in both linear order of probe field and dissipation parameter. We formulate and prove one first-order and two second-order dissipative

f

-sum rules. These rules are validated numerically for some example models, and the realization schemes are proposed. In addition, the potential applications are discussed for two interacting many-body systems.

中文翻译：

耗散系统的 f 和规则

这

f

-sum 规则对响应设置一般约束

f

量子多体系统连接到外部探针并保持信号

f

在各种光谱测量领域中存在着巨大的相关性。在实际情况下，系统不可避免地与环境耦合并获得有效耗散。在这封信中，我们推导并证明了耗散系统的一组 f-sum 规则。在线性响应理论的框架内，我们获得了探测场和耗散参数的线性顺序的系统响应。我们制定并证明了一个一阶和两个二阶耗散 f-sum 规则。这些规则针对一些示例模型进行了数值验证，并提出了实现方案。此外，还讨论了两个交互的多体系统的潜在应用。

更新日期：2024-09-05

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