Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909213744168960 |
|---|---|
| author | Jing, Yecheng Dong, Jian-Jun Zhang, Yu-Yu Hu, Zi-Xiang |
| author_facet | Jing, Yecheng Dong, Jian-Jun Zhang, Yu-Yu Hu, Zi-Xiang |
| contents | By utilizing biorthogonal bases, we develop a comprehensive framework for studying biorthogonal dynamical quantum phase transitions in non-Hermitian systems. With the help of the previously overlooked associated state, we define the automatically normalized biorthogonal Loschmidt echo. This approach is capable of handling arbitrary non-Hermitian systems with complex eigenvalues and naturally eliminates the negative value of Loschmidt rate obtained without the biorthogonal bases. Taking the non-Hermitian Su-Schrieffer-Heeger model as a concrete example, a $1/2$ change of dynamical topological order parameter in biorthogonal bases is observed which is not shown in self-normal bases. Furthermore, we discover that the periodicity of biorthogonal dynamical quantum phase transitions depends on whether the two-level subsystem at the critical momentum oscillates or reaches a steady state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02993 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems Jing, Yecheng Dong, Jian-Jun Zhang, Yu-Yu Hu, Zi-Xiang Quantum Physics Statistical Mechanics By utilizing biorthogonal bases, we develop a comprehensive framework for studying biorthogonal dynamical quantum phase transitions in non-Hermitian systems. With the help of the previously overlooked associated state, we define the automatically normalized biorthogonal Loschmidt echo. This approach is capable of handling arbitrary non-Hermitian systems with complex eigenvalues and naturally eliminates the negative value of Loschmidt rate obtained without the biorthogonal bases. Taking the non-Hermitian Su-Schrieffer-Heeger model as a concrete example, a $1/2$ change of dynamical topological order parameter in biorthogonal bases is observed which is not shown in self-normal bases. Furthermore, we discover that the periodicity of biorthogonal dynamical quantum phase transitions depends on whether the two-level subsystem at the critical momentum oscillates or reaches a steady state. |
| title | Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2307.02993 |