DOAJ Open Access 2025

Topological excitations at time vortices in periodically driven systems

Gilad Kishony Ori Grossman Netanel Lindner Mark Rudner Erez Berg

Abstrak

Abstract We consider two-dimensional periodically driven systems of fermions with particle-hole symmetry. Such systems support non-trivial topological phases, including ones that cannot be realized in equilibrium. We show that a space-time defect in the driving Hamiltonian, dubbed a “time vortex,” can bind π Majorana modes. A time vortex is a point in space around which the phase lag of the Hamiltonian changes by a multiple of 2π. We demonstrate this behavior on a periodically driven version of Kitaev’s honeycomb spin model, where $${{\mathbb{Z}}}_{2}$$ Z 2 fluxes and time vortices can realize any combination of 0 and π Majorana modes. We show that a time vortex can be created using Clifford gates, simplifying its realization in near-term quantum simulators.

Penulis (5)

G

Gilad Kishony

O

Ori Grossman

N

Netanel Lindner

M

Mark Rudner

E

Erez Berg

Format Sitasi

Kishony, G., Grossman, O., Lindner, N., Rudner, M., Berg, E. (2025). Topological excitations at time vortices in periodically driven systems. https://doi.org/10.1038/s41535-025-00745-8

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Informasi Jurnal
Tahun Terbit
2025
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DOAJ
DOI
10.1038/s41535-025-00745-8
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Open Access ✓