Detection and manipulation of Andreev states in hybrid nanowire Josephson junctions

Although the existence Andreev bound states in SNS Josephson junctions was predicted by Kulik already in the 70’s, it was not until rather recently that direct evidence of these phase sensitive states was obtained experimentally using different techniques. On the other hand, the combination of high quality hybrid nanostructures and circuit QED techniques are allowing to explore the physics of Andreev states in novel conditions with unprecedented accuracy. In this presentation I’ll give an overview on the theory that we have developed [1-5] to describe Andreev states in semiconducting nanowire Josephson junctions and their detection using circuit-QED techniques. Using a simple multichannel model we are able to identify the main effects on the Andreev states due to spin-orbit interactions [1,2]. Our theory allows to understand the line intensities in their microwave absorption spectrum and the absence of selection rules as observed in recent experiments [3,4]. Furthermore, I’ll discuss the signatures of electron-electron interactions that can be identified in the Andreev spectrum [5]. Finally, I’ll briefly discuss the prospects of using these states as a platform for different type of qubits [6]. [1] S. Park and A. Levy Yeyati, Phys. Rev. B 96, 125416 (2017). [2] L. Tosi, C. Metzger, M. F. Goffman, C. Urbina, H. Pothier, Sunghun Park, A. Levy Yeyati, J. Nygård, and P. Krogstrup, Phys. Rev. X 9, 011010 (2019). [3] S. Park, C. Metzger, L. Tosi, M. F. Goffman, C. Urbina, H. Pothier, and A. Levy Yeyati, Phys. Rev. Lett. 125, 077701 (2020). [4] C. Metzger, S. Park, L. Tosi, C. Janvier, A. A. Reynoso, M. F. Goffman, C. Urbina, A. Levy Yeyati, and H. Pothier, Phys. Rev. Research 3, 013036(2021). [5] F. J. Matute Cañadas, C. Metzger, Sunghun Park, L.Tosi, P. Krogstrup, J. Nygård, M. F. Goffman, C. Urbina, H. Pothier, A. Levy Yeyati, Phys. Rev. Lett. 128, 197702 (2022). [6] M. Hays, V. Fatemi, D. Bouman, J. Cerrillo, S. Diamond, K. Serniak, T. Connolly, P. Krogstrup, J. Nygård, A. Levy Yeyati, A. Geresdi, M. H. Devoret, Science 373, 6553, 430-433 (2021).