Biorthogonal dynamical quantum phase transitions in non-Hermitian topological superconductors
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917529856770048 |
|---|---|
| author | Gu, Haoran Zhao, Yubo Cheng, Siyuan Xie, Yuee Yang, Xiaosen Chen, Yuanping |
| author_facet | Gu, Haoran Zhao, Yubo Cheng, Siyuan Xie, Yuee Yang, Xiaosen Chen, Yuanping |
| contents | Dynamical quantum phase transitions in non-Hermitian systems pose fundamental challenges due to the intrinsic biorthogonality of their eigenstates. In this work, we extend a biorthogonal framework to investigate dynamical quantum phase transitions in non-Hermitian topological superconductors. Taking the non-Hermitian Kitaev chain as a prototypical model, we construct an associated-state formalism and reformulate the Loschmidt rate function, dynamical topological order parameter, and dynamical Fisher zeros. Within this framework, we find that the critical times at which dynamical quantum phase transitions occur differ from those based on the conventional self-normal approaches. We further analyze momentum-resolved subsystems at critical momenta and demonstrate the robustness of the biorthogonal framework. Our work highlights the essential role of biorthogonality in nonequilibrium dynamics and establishes a consistent theoretical framework for dynamical quantum phase transitions in non-Hermitian topological superconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15982 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Biorthogonal dynamical quantum phase transitions in non-Hermitian topological superconductors Gu, Haoran Zhao, Yubo Cheng, Siyuan Xie, Yuee Yang, Xiaosen Chen, Yuanping Quantum Physics Dynamical quantum phase transitions in non-Hermitian systems pose fundamental challenges due to the intrinsic biorthogonality of their eigenstates. In this work, we extend a biorthogonal framework to investigate dynamical quantum phase transitions in non-Hermitian topological superconductors. Taking the non-Hermitian Kitaev chain as a prototypical model, we construct an associated-state formalism and reformulate the Loschmidt rate function, dynamical topological order parameter, and dynamical Fisher zeros. Within this framework, we find that the critical times at which dynamical quantum phase transitions occur differ from those based on the conventional self-normal approaches. We further analyze momentum-resolved subsystems at critical momenta and demonstrate the robustness of the biorthogonal framework. Our work highlights the essential role of biorthogonality in nonequilibrium dynamics and establishes a consistent theoretical framework for dynamical quantum phase transitions in non-Hermitian topological superconductors. |
| title | Biorthogonal dynamical quantum phase transitions in non-Hermitian topological superconductors |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.15982 |