论文标题
电路量化中时间依赖通量处理的实验验证
Experimental verification of the treatment of time-dependent flux in circuit quantization
论文作者
论文摘要
最近的理论工作强调了,在存在时间依赖性的通量$φ(t)$的情况下,量化超导电路通常会产生与$dφ/dt $成比例的汉密尔顿术语,除非选择跨感应项的特殊分配。在这里,我们提出了一个实验,探讨了应用于重型流通电路的快速通量坡道的影响。该实验证实,$dφ/dt $项的幼稚遗漏导致理论预测与实验数据不一致。实验数据与最近的理论完全一致,该理论包括衍生术语或等效地使用“无关变量”,这些变量唯一地分配了通量以正确消除$dφ/dt $项。
Recent theoretical work has highlighted that quantizing a superconducting circuit in the presence of time-dependent flux $Φ(t)$ generally produces Hamiltonian terms proportional to $dΦ/dt$ unless a special allocation of the flux across inductive terms is chosen. Here, we present an experiment probing the effects of a fast flux ramp applied to a heavy-fluxonium circuit. The experiment confirms that naïve omission of the $dΦ/dt$ term leads to theoretical predictions inconsistent with experimental data. Experimental data are fully consistent with recent theory that includes the derivative term or equivalently uses "irrotational variables" that uniquely allocate the flux to properly eliminate the $dΦ/dt$ term.