Realizing a topological transition in a non-Hermitian quantum walk with circuit QED

Yizhou Huang, Zhang Qi Yin, W. L. Yang

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Abstract

We extend the non-Hermitian one-dimensional quantum walk model [Phys. Rev. Lett. 102, 065703 (2009)PRLTAO0031-900710.1103/PhysRevLett.102.065703] by taking the dephasing effect into account. We prove that the feature of topological transition does not change even when dephasing between the sites within units is present. The potential experimental observation of our theoretical results in the circuit QED system consisting of superconducting qubit coupled to a superconducting resonator mode is discussed and numerically simulated. The results clearly show a topological transition in quantum walk and display the robustness of such a system to the decay and dephasing of qubits. We also discuss how to extend this model to higher dimension in the circuit QED system.

Original languageEnglish
Article number022302
JournalPhysical Review A
Volume94
Issue number2
DOIs
Publication statusPublished - 3 Aug 2016
Externally publishedYes

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Huang, Y., Yin, Z. Q., & Yang, W. L. (2016). Realizing a topological transition in a non-Hermitian quantum walk with circuit QED. Physical Review A, 94(2), Article 022302. https://doi.org/10.1103/PhysRevA.94.022302