论文标题
带有可调透明共振的波导带隙n Qubit阵列
Waveguide bandgap N-qubit array with a tunable transparency resonance
论文作者
论文摘要
我们研究了通过1D N Quit链的单个光子传输。量子位应该是相同的，邻居之间的距离相等。我们用Chebyshev多项式来表达N Qubit链的转移矩阵，这使我们能够为任意较大N的传输和反射振幅获得简单的表达式。我们表明，对于奇数n，对中央值的激发频率调整会产生狭窄共振带有完整传输的带隙内的外观。共振及其宽度的位置可以由中央量子量的频率控制。我们表明，带隙和透射共振的形成是由单个Qubit的宽度重叠来调节的，这些量子位的宽度是由Qubits和波导光子之间的强耦合而产生的。
We study a single photon transmission through 1D N- qubit chain. The qubits are supposed to be identical with equal distance between neighbors. We express the transfer matrix of N- qubit chain in terms of Chebyshev polynomials, which allows us to obtain simple expressions for the transmission and reflection amplitudes for arbitrarily large N. If the distance between neighbor qubits is equal to half wavelength, the transmission spectrum exhibits a flat bandgap structure with very steep walls. We show that for odd N the tuning of the excitation frequency of a central qubit gives rise to the appearance within a bandgap of a narrow resonance with a full transmission. The position of the resonance and its width can be controlled by the frequency of a central qubit. We show that the formation of the bandgap and of the transmission resonance is conditioned by the overlapping the widths of individual qubits which results from the strong coupling between qubits and waveguide photons.
