Stable measurement-induced Floquet enriched topological order
| Autor: | Vu, DinhDuy, Lavasani, Ali, Lee, Jong Yeon, Fisher, Matthew P. A. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 132, 070401 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.132.070401 |
| Popis: | 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. Comment: 6+8 pages, 13 figures |
| Databáze: | arXiv |
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