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arXiv 1203.6567cond-mat.str-elcond-mat.mes-hall
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一维半无限长导线的费米边奇异性和有限频谱特性

Fermi edge singularity and finite frequency spectral features in a semi-infinite 1D wire

A. Sheikhan, I. Snyman

摘要:

我们从理论上研究了半无限一维导线中电荷量子比特与电子的相互作用。该系统显示费米边缘奇点的物理特性。我们的结果推广了已知的费米边系统的结果的制度,量子比特诱导的激发可以解决散射区域的空间结构。我们发现量子比特隧穿率作为量子比特能级分裂的函数的共振特征。它们发生在h乘以v_F/l的整数倍处。这里v_F是导线中电子的费米速度,l是从导线尖端到它与量子位相互作用的点的距离。这些特征是由于电子气中的单个相干电荷波动,其半波长适合l的整数倍。随着量子比特和导线之间的耦合增加,共振被冲洗掉。这是伴随着强耦合而产生的费米海剧烈震荡的明显特征。

英文摘要:

We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where excitations induced by the qubit can resolve the spatial structure of the scattering region. We find resonant features in the qubit tunneling rate as a function of the qubit level splitting. They occur at integer multiples of h times v_F/l. Here v_F is the Fermi velocity of the electrons in the wire, and l is the distance from the tip of the wire to the point where it interacts with the qubit. These features are due to a single coherent charge fluctuation in the electron gas, with a half-wavelength that fits into l an integer number of times. As the coupling between the qubit and the wire is increased, the resonances are washed out. This is a clear signature of the increasingly violent Fermi-sea shake-up that accompanies strong coupling.

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