Authors
Yuntao Xiao, Yuchen Guo, Xiaojian Huang, Huixia Gao, Dengke Qu, Lei Xiao, Kunkun Wang, Shuo Yang, Peng Xue
Published in
Physical review letters. Volume 137. Issue 11. Pages 110401. Sep 11, 2026.
Abstract
Non-Hermitian systems host phenomena absent in Hermitian physics, but realizing Hamiltonians with intrinsic non-Hermitian properties remains challenging. The theoretical method of non-Hermitian parent Hamiltonian (NH-PH) enables the construction of a non-Hermitian system from a pair of matrix product states (MPSs) with tailored properties. Here, we report the first experimental generation of NH-PHs. This generation starts from MPSs that represent asymmetric Affleck-Kennedy-Lieb-Tasaki states. The construction is validated with single photons via imaginary-time evolution of the generated NH-PH to obtain its left and right ground states. We then characterize the properties of the system by measuring four different order parameters that probe non-reciprocal correlations, chiral imbalance, and conventional antiferromagnetic correlations. Furthermore, extending the framework to a larger system with a different model, we observe an intrinsic non-Hermitian phase transition, manifested by abrupt jumps of an order parameter when the designated zero-energy modes cease to be the globally lowest-energy states. Our Letter provides the first experimental realization and characterization of non-Hermitian Hamiltonians with controllable and customizable properties, opening new avenues for exploring intrinsic non-Hermitian phenomena across diverse physical platforms.
PMID:
42789858
Bibliographic data and abstract were imported from PubMed on 26 Sep 2026.
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