Abstract
We present measurements of a topological property, the Chern number (), of a closed manifold in the space of two-level system Hamiltonians, where the two-level system is formed from a superconducting qubit. We manipulate the parameters of the Hamiltonian of the superconducting qubit along paths in the manifold and extract from the nonadiabatic response of the qubit. By adjusting the manifold such that a degeneracy in the Hamiltonian passes from inside to outside the manifold, we observe a topological transition . Our measurement of is quantized to within 2% on either side of the transition.
- Received 28 April 2014
DOI:https://doi.org/10.1103/PhysRevLett.113.050402
© 2014 American Physical Society