AI 中文总结
该研究将含时可积模型扩展到含时相互作用强度的非厄米量子模型，证明其保持可积性的含时强度集合大于传统RG协议的对应集合，拓展了可积系统的研究范围。
AI 中文摘要
在含时量子系统中，当驱动模型的时间`t`与静态模型的截断对数`logΛ`对应时，保持可积性的含时相互作用强度与对应静态模型的重整化群（RG）轨迹完全一致，我们将这种保持可积性的驱动方式称为RG协议，这已是公认的结论。本研究将含时可积模型的范围扩展到含时相互作用强度的非厄米量子模型。利用近期提出的广义贝塞尔 ansatz 框架[P. R. Pasnoori, Phys. Rev. B 112, L060409 (2025)]，我们证明可积性施加的约束更具一般性：静态模型中随RG流动的相互作用强度，会如上述描述般在对应含时模型中遵循各自的RG轨迹；此外，静态模型中RG不变的相互作用强度，在对应含时模型中既可以是常数，也可以具有受可积性约束的特定含时依赖关系。因此，我们证实，在含时非厄米系统的语境下，保持可积性的含时强度集合大于对应RG协议的集合。
英文摘要
It is well established that in time-dependent quantum systems, integrability preserving time-dependent interaction strengths are identical to the renormalization group (RG) trajectories of the corresponding static model when time `$t$' in the driven model is identified with the logarithm of the cutoff `$\logΛ$' of the static model. We refer to this integrability preserving driving as the RG protocol. In this work we extend the class of time-dependent integrable models to include non-Hermitian quantum models with time-dependent interaction strengths. Using the recently formulated generalized Bethe ansatz framework [P. R. Pasnoori, Phys. Rev. B 112, L060409 (2025)], we show that the constraints imposed by integrability are more general: The interaction strengths of the static model that flow in the RG follow the respective RG trajectories in the corresponding time-dependent model as described above. In addition, the interaction strengths of the static model that are RG invariant can either be constant or have a specific time-dependence in the corresponding time-dependent model which is constrained by integrability. Thus we establish that in the context of time-dependent non-Hermitian systems, the set of integrability preserving time-dependent strengths is larger than the set corresponding to the RG protocol.
