AI 中文总结
本文针对量子光学主方程（QOME）的不足，提出改编自量子布朗运动方程（QBME）的测温模型，通过transmon实例对比其与QOME的预测差异，并探讨区分二者的实验测试方法。
AI 中文摘要
量子电子学中电阻的量子力学模型通常基于量子光学主方程（QOME）。QOME忽略了若干基本性质，限制了其对某些超导现象的建模能力。本文提出一种电阻的测温模型，改编自量子布朗运动方程（QBME），便于QBME在低温耗散电子学建模中的实际应用。我们以并联电阻的transmon为例，将本文提出的测温QBME与QOME的预测结果进行比较，发现QBME和QOME给出的预测结果相近但物理意义不同，并讨论了潜在的实验测试方法，用于区分二者在实际实验建模中的适用性。
英文摘要
Quantum mechanical models of resistors in quantum electronics are often based on the quantum optical master equation (QOME). The QOME overlooks several fundamental properties, limiting its ability to model certain superconducting phenomena. Here we present a thermometric model of resistors, adapted from the quantum Brownian motion equation (QBME), that facilitates practical use of the QBME in modelling dissipative electronics at low temperatures. We compare the thermometric QBME presented here with predictions of the QOME, in the simple example of a transmon shunted by a resistor. We show that both the QBME and QOME yield comparable but physically distinct predictions, and discuss potential experimental tests with which to discriminate their use in modelling practical experiments.
Comments11 pages, 9 figures
