Microwave response of an Andreev bound state
Microwave response of an Andreev bound state
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DOI：
10.1103/physrevb.104.174517
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发表时间：
2021-05
影响因子：
3.7
通讯作者：
P. Kurilovich;V. D. Kurilovich;V. Fatemi;M. Devoret;L. Glazman
中科院分区：
文献类型：
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作者：
P. Kurilovich;V. D. Kurilovich;V. Fatemi;M. Devoret;L. Glazman
我们发展了一个有限长的弱链结的Andreev束缚态的动力学理论，其中电荷效应是很重要的。我们得到了流过链路的电流和积累在其中的电荷相对于相位和栅极电压偏置的线性响应。得到的矩阵封装了嵌入在微波谐振器中的弱链接的光谱特性。在低频极限下，我们利用我们推导出的有效低能哈密顿量解析地得到了响应函数。这种哈密顿量最小限度地解释了库仑相互作用，并且适用于有限长度的弱链的唯象描述。
We develop a theory for the dynamics of an Andreev bound state hosted by a weak link of finite length for which charging effects are important. We derive the linear response of both the current through the link and charge accumulated in it with respect to the phase and gate voltage biases. The resulting matrix encapsulates the spectroscopic properties of a weak link embedded in a microwave resonator. In the low-frequency limit, we obtain the response functions analytically using an effective low-energy Hamiltonian, which we derive. This Hamiltonian minimally accounts for Coulomb interaction and is suitable for a phenomenological description of a weak link having a finite length.