English

Detecting non-Abelian geometric phase in circuit QED

Quantum Physics 2013-07-02 v3

Abstract

We propose a scheme for detecting noncommutative feature of the non-Abelian geometric phase in circuit QED, which involves three transmon qubits capacitively coupled to an one-dimensional transmission line resonator. By controlling the external magnetic flux of the transmon qubits, we can obtain an effective tripod interaction of our circuit QED setup. The noncommutative feature of the non-Abelian geometric phase is manifested that for an initial state undergo two specific loops in different order will result in different final states. Our numerical calculations show that this difference can be unambiguously detected in the proposed system.

Keywords

Cite

@article{arxiv.1303.0495,
  title  = {Detecting non-Abelian geometric phase in circuit QED},
  author = {Man-Lv Peng and Jian Zhou and Zheng-Yuan Xue},
  journal= {arXiv preprint arXiv:1303.0495},
  year   = {2013}
}
R2 v1 2026-06-21T23:35:42.642Z