Symmetry-protected topological order in one dimension leads to protected degeneracies between symmetry blocks of the reduced density matrix. In the presence of periodic driving, topological Floquet phases can be identified in terms of a cycling of these symmetry blocks between different charge quantum numbers. We discuss an example of this phenomenon with an Ising Z2 symmetry, using both analytic methods and real quantum computers. By adiabatically moving along the phase diagram, we demonstrate that the cycling periodicity is broken in Floquet topological phase transitions. An equivalent signature of the topological Floquet phase is identified as a computational power allowing for the teleportation of quantum information.
|Journal||Physical Review B|
|State||Published - 1 Dec 2021|
Bibliographical noteFunding Information:
Acknowledgments. E.S. acknowledges support from ARO (W911NF-20-1-0013), European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme under Grant Agreement No. 951541, and the U.S.-Israel Binational Science Foundation (Grant No. 2016255). This work was supported by the Israel Science Foundation, Grants No. 151/19 and No. 154/19, and the AWS Cloud Credit for Research Program. We are thankful for discussions with Alon Ron. We acknowledge the use of qutip Python library for some of the numerical calculations .
© 2021 American Physical Society.