非线性超导微波系统的谱理论：提取弛豫率与模式杂化
Spectral Theory for Non-linear Superconducting Microwave Systems: Extracting Relaxation Rates and Mode Hybridization
AI总结：
本文提出超导体电流体动力学的谱理论，通过有限透明边界和粗粒化方程高效提取三维超导系统的辐射弛豫率与模式杂化，并支持二次量子化，解决了开放系统模态描述的长期难题。
摘要：
模式杂化的精确建模和辐射弛豫率的计算对于超导量子器件的设计与优化至关重要。在这项工作中，我们引入了一种超导体电流体动力学的谱理论，该理论能够提取一般三维超导体分布中激发的弛豫率。我们的方法解决了一个长期存在的问题，即如何建立一种既高效又允许对辐射杂化场进行二次量子化的开放系统模态描述。这是通过实现有限但透明的边界来实现的，辐射可以通过这些边界传播进入和离开计算域。由此产生的谱问题定义在电流体动力学方程的粗粒化表述中，该表述适用于分析多尺度超导量子系统的非平衡动力学。
英文摘要：
The accurate modeling of mode hybridization and calculation of radiative relaxation rates have been crucial to the design and optimization of superconducting quantum devices. In this work, we introduce a spectral theory for the electrohydrodynamics of superconductors that enables the extraction of the relaxation rates of excitations in a general three-dimensional distribution of superconducting bodies. Our approach addresses the long-standing problem of formulating a modal description of open systems that is both efficient and allows for second quantization of the radiative hybridized fields. This is achieved through the implementation of finite but transparent boundaries through which radiation can propagate into and out of the computational domain. The resulting spectral problem is defined within a coarse-grained formulation of the electrohydrodynamical equations that is suitable for the analysis of the non-equilibrium dynamics of multiscale superconducting quantum systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
