We theoretically investigate the coupling of a single electron in a planar Penning trap with a remote superconducting microwave (MW) cavity. Coupling frequencies around Ω = 2 π · 1 MHz can be reached with resonators with a loaded quality factor of Q = 10 5, allowing for the strong coupling regime. The electron and the cavity form a system of two coupled quantum harmonic oscillators. This is a hybrid and linear microwave quantum network. We show that the coherent interaction can be sustained over distances of a few mm up to several cm. Similar to classical linear MW circuits, the coherent quantum exchange of photons is ruled by the impedances of the electron and the cavity. As one concrete application, we discuss the entanglement of the cyclotron motions of two electrons located in two separate traps.

中文翻译：

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捕获电子与远处超导微波腔的相干耦合

我们从理论上研究了平面 Penning 陷阱中单个电子与远程超导微波 (MW) 腔的耦合。Ω = 2 π · 1 MHz 附近的耦合频率可以通过具有 Q = 10 5 负载品质因数的谐振器达到，允许强耦合机制。电子和腔形成两个耦合的量子谐振子系统。这是一个混合线性微波量子网络。我们表明相干相互作用可以持续几毫米到几厘米的距离。类似于经典的线性 MW 电路，光子的相干量子交换由电子和腔的阻抗决定。作为一个具体应用，我们讨论位于两个独立陷阱中的两个电子的回旋运动的纠缠。