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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.27028 |
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| _version_ | 1866915896602132480 |
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| author | Wang, Qin-Qin Xu, Xiao-Ye Li, Chuan-Feng Guo, Guang-Can |
| author_facet | Wang, Qin-Qin Xu, Xiao-Ye Li, Chuan-Feng Guo, Guang-Can |
| contents | While remarkable progress has been achieved in engineering nontrivial Hamiltonians across a wide range of physical platforms, preparing their corresponding nontrivial ground states remains a major experimental challenge. The commonly used strategy for state preparation relies on adiabatic protocols. However, when a trivial initial state is unitarily driven toward nontrivial regimes, the dynamics must cross gap-closing critical points, rendering the process intrinsically nonadiabatic, and the state remains topologically trivial. Here, we present a nonunitary method for dynamically preparing nontrivial states in two-dimensional topological insulators. By introducing dephasing noise into a slowly driven unitary evolution, we demonstrate that the topological number of the resulting dephased states can coincide with that of the target nontrivial Hamiltonian. This nearly adiabatic nonunitary state-preparation protocol provides a powerful alternative to conventional adiabatic approaches for accessing topological states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27028 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators Wang, Qin-Qin Xu, Xiao-Ye Li, Chuan-Feng Guo, Guang-Can Quantum Physics While remarkable progress has been achieved in engineering nontrivial Hamiltonians across a wide range of physical platforms, preparing their corresponding nontrivial ground states remains a major experimental challenge. The commonly used strategy for state preparation relies on adiabatic protocols. However, when a trivial initial state is unitarily driven toward nontrivial regimes, the dynamics must cross gap-closing critical points, rendering the process intrinsically nonadiabatic, and the state remains topologically trivial. Here, we present a nonunitary method for dynamically preparing nontrivial states in two-dimensional topological insulators. By introducing dephasing noise into a slowly driven unitary evolution, we demonstrate that the topological number of the resulting dephased states can coincide with that of the target nontrivial Hamiltonian. This nearly adiabatic nonunitary state-preparation protocol provides a powerful alternative to conventional adiabatic approaches for accessing topological states. |
| title | Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.27028 |