Observing Floquet topological order by symmetry resolution

• URL: http://arxiv.org/abs/2109.01151v2
• Date: Sun, 12 Dec 2021 14:55:26 GMT
• Title: Observing Floquet topological order by symmetry resolution
• Authors: Daniel Azses, Emanuele G. Dalla Torre, Eran Sela
• Abstract summary: In the presence of periodic driving, topological Floquet phases can be identified in terms of a cycling of symmetry blocks between different charge quantum numbers. An equivalent signature of the topological Floquet phase is identified as a computational power allowing to teleport quantum information.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\mathbb{Z}_2$ 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 to teleport quantum information.

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