Scalable collective Lamb shift of a 1D superconducting qubit array in front of a mirror

@article{Lin2019ScalableCL,
  title={Scalable collective Lamb shift of a 1D superconducting qubit array in front of a mirror},
  author={Kuan-ting Lin and Ting Hsu and Chen-Yu Lee and Io-chun Hoi and Guin-Dar Lin},
  journal={Scientific Reports},
  year={2019},
  volume={9}
}
We theoretically investigate resonant dipole-dipole interaction (RDDI) between artificial atoms in a 1D geometry, implemented by N transmon qubits coupled through a transmission line. Similar to the atomic cases, RDDI comes from exchange of virtual photons of the continuous modes, and causes the so-called collective Lamb shift (CLS). To probe the shift, we effectively set one end of the transmission line as a mirror, and examine the reflection spectrum of the probe field from the other end. Our… 
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