In this work we present a detailed theoretical analysis for the spectral properties of Andreev bound states in the multiterminal Josephson junctions by employing a symmetry-constrained scattering matrix approach. We find that in the synthetic multidimensional space of superconducting phases, crossings of Andreev bands may support non-Abelian SU(2) monopoles with a topological charge characterized by the second class Chern number. We propose that these topological defects can be detected via a nonlinear response measurement of the current autocorrelations. In addition, multiterminal Josephson junction devices can be tested as a hardware platform for realizing holonomic quantum computation.
@article{arxiv.2107.03435,
title = {Non-Abelian monopoles in the multiterminal Josephson effect},
author = {Hong-Yi Xie and Jaglul Hasan and Alex Levchenko},
journal= {arXiv preprint arXiv:2107.03435},
year = {2022}
}