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Stable measurement-induced Floquet enriched topological order
- Source :
- Phys. Rev. Lett. 132, 070401 (2024)
- Publication Year :
- 2023
-
Abstract
- The Floquet code utilizes a periodic sequence of two-qubit measurements to realize the topological order. After each measurement round, the instantaneous stabilizer group can be mapped to a honeycomb toric code, explaining the topological feature. The code also possesses a time-crystal order - the $e-m$ transmutation after every cycle, breaking the Floquet symmetry of the measurement schedule. This behavior is distinct from the stationary topological order realized in either random circuits or time-independent Hamiltonian. Therefore, the resultant phase belongs to the overlap between the classes of Floquet enriched topological orders and measurement-induced phases. In this work, we construct a continuous path interpolating between the Floquet and toric codes, focusing on the transition between the time-crystal and stationary topological phases. We show that this transition is characterized by a divergent length scale. We also add single-qubit perturbations to the model and obtain a richer two-dimensional parametric phase diagram of the Floquet code, showing the stability of the Floquet enriched topological order.<br />Comment: 6+8 pages, 13 figures
- Subjects :
- Quantum Physics
Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 132, 070401 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2303.01533
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.132.070401