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Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators

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arXiv:2603.27028v1 Announce Type: new Abstract: 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

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Quantum Physics [Submitted on 27 Mar 2026] Nonunitary Preparation of Nontrivial States from Trivial Regimes in Two-Dimensional Topological Insulators Qin-Qin Wang, Xiao-Ye Xu, Chuan-Feng Li, Guang-Can Guo 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. Comments: 10 pages, 4 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.27028 [quant-ph] (or arXiv:2603.27028v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.27028 Focus to learn more Submission history From: Qin-Qin Wang [view email] [v1] Fri, 27 Mar 2026 22:36:45 UTC (2,603 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev | next > new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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