论文标题
通用$ f $ - 苏姆规则和非线性电导率的科恩公式
Generalized $f$-Sum Rules and Kohn formulas on Non-linear Conductivities
论文作者
论文摘要
$ f $ -SUM规则和Kohn Formula对量子多体系统的电导率有了良好的一般限制。我们通过考虑两个限制量子时间进化过程：淬火过程和绝热过程，以统一的方式以统一的方式呈现对非线性电导率的概括。我们的广义公式在任何固定状态下都是有效的，包括基态温度吉布斯状态，无论系统的细节如何，例如动力学项的特定形式，多体相互作用的强度或疾病的存在。
The $f$-sum rule and the Kohn formula are well-established general constraints on the electric conductivity in quantum many-body systems. We present their generalization to non-linear conductivities at all orders of the response in a unified manner, by considering two limiting quantum time-evolution processes: a quench process and an adiabatic process. Our generalized formulas are valid in any stationary state, including the ground state and finite temperature Gibbs states, regardless of the details of the system such as the specific form of the kinetic term, the strength of the many-body interactions, or the presence of disorders.
