Observing Floquet topological order by symmetry resolution

Daniel Azses, Emanuele G. Dalla Torre, Eran Sela

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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.

Original languageEnglish
Article numberA134
JournalPhysical Review B
Issue number22
StatePublished - 1 Dec 2021

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© 2021 American Physical Society.


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