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Measuring a Topological Transition in an Artificial Spin-1/2 System

M. D. Schroer, M. H. Kolodrubetz, W. F. Kindel, M. Sandberg, J. Gao, M. R. Vissers, D. P. Pappas, Anatoli Polkovnikov, and K. W. Lehnert
Phys. Rev. Lett. 113, 050402 – Published 30 July 2014
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Abstract

We present measurements of a topological property, the Chern number (C1), 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 C1 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 C1=10. Our measurement of C1 is quantized to within 2% on either side of the transition.

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  • Received 28 April 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.050402

© 2014 American Physical Society

Authors & Affiliations

M. D. Schroer1,*, M. H. Kolodrubetz2, W. F. Kindel3, M. Sandberg4, J. Gao4, M. R. Vissers4, D. P. Pappas4, Anatoli Polkovnikov2, and K. W. Lehnert1,5

  • 1JILA, National Institute of Standards and Technology and The University of Colorado, Boulder, Colorado 80309, USA
  • 2Physics Department, Boston University, Boston, Massachusetts 02215, USA
  • 3JILA, Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 4National Institute of Standards and Technology, Boulder, Colorado 80305, USA
  • 5Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

  • *Present address: GE Aviation, Cincinnati, OH 45215, USA.

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Issue

Vol. 113, Iss. 5 — 1 August 2014

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