Observing Floquet topological order by symmetry resolution

Daniel Azses, Emanuele G. Dalla Torre, Eran Sela

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume104
Issue number22
DOIs
StatePublished - 1 Dec 2021

Funding

FundersFunder number
Army Research OfficeW911NF-20-1-0013
Horizon 2020 Framework Programme
European Research Council
United States-Israel Binational Science Foundation2016255
Israel Science Foundation151/19, 154/19
Horizon 2020951541

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