量子热输运的林德布拉德方法与电路方法的比较
Comparison of Lindblad and circuit approaches for quantum heat transport
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中文总结 AI 辅助
该研究对比了量子电路热输运分析的林德布拉德与电路两种模型，发现弱耦合极限线性电路中二者结果一致，定量评估了弱耦合假设的适用范围，确认林德布拉德模型可用于含量子比特等的量子电路热输运分析。
中文摘要 AI 辅助
我们比较了两种适用于分析量子电路中热微波光子热输运的流行模型。第一种模型源自弱耦合林德布拉德主方程，其跃迁率由热耗散源诱导的费米黄金定则确定；第二种方法采用电路模型，其中耗散元件产生的热约翰逊-奈奎斯特噪声会在电路其他部分引入电流，进而产生焦耳功率，这会得到热输运的朗道尔型表达式，其中传输系数与电路中的跨导成正比。我们发现，在弱耦合极限下的线性电路中，两种模型在一个典型的由腔在两个热浴间介导热输运的电路中，功率的解析表达式给出了完全相同的结果。我们的分析定量评估了电路中弱耦合假设的有效范围。由于两种结果的一致性，我们有信心将弱耦合林德布拉德模型也应用于分析包含量子比特和/或非线性谐振器等元件的量子电路中的热输运。
英文摘要
We compare two popular models applicable to analyzing heat transport by thermal microwave photons in quantum circuits. The first model is derived from a weak-coupling Lindblad master equation, with transition rates determined by Fermi's golden rule induced by thermal dissipation sources. The second approach employs a circuit model, where thermal Johnson-Nyquist noise generated by dissipative elements introduces currents, and consequently Joule power, in other parts of the circuit. This leads to a Landauer type expression of heat transport where the transmission coefficient is proportional to the transconductance in the circuit. We find that the two models yield identical results in a linear circuit in the weak coupling limit with an analytic expression of power in an archetypal circuit of a cavity mediating heat between two baths. Our analysis yields a quantitative assessment of the range of validity of the weak coupling assumption in a circuit. Due to the correspondence of the two results, we feel confident in applying the weak coupling Lindblad model also for analyzing heat transport in quantum circuits consisting, e.g. of qubits and/or non-linear resonators.
