论文标题
遗传系统中特殊点相变的签名
Signature of exceptional point phase transition in Hermitian systems
论文作者
论文摘要
特殊点（EP）是非弱者系统中的频谱奇异性。对EP的传递导致相变，该过渡赋予系统具有非常规的特征，这些特征找到了广泛的应用。但是，使用耗散和放大的需求限制了系统与EP的可能应用。在这项工作中，我们证明了在没有耗散和放大的遗传系统中存在特殊点相变的签名。我们考虑了一个复合遗传系统，包括两个耦合振荡器及其环境，仅包括几十个自由度。我们表明，这种遗传系统的动力学表明了一个过渡，该过渡发生在与非甲米系统中EP相对应的振荡器之间的耦合强度。即使在系统动力学的非马克维亚政权中，这种过渡也会自我表现出来，其中能量发生了崩溃和复兴。因此，我们证明了在非甲米系统中越过EP的传递处发生的相变，一直以来都表现在Hermitian系统中。我们讨论了观察非马克维亚政权中EP相变的特征的实验方案。
Exceptional point (EP) is a spectral singularity in non-Hermitian systems. The passing over the EP leads to a phase transition, which endows the system with unconventional features that find a wide range of applications. However, the need of using the dissipation and amplification limits the possible applications of systems with the EP. In this work, we demonstrate an existence of signature of exceptional point phase transition in Hermitian systems that are free from dissipation and amplification. We consider a composite Hermitian system including both two coupled oscillators and their environment consisting only of several tens of degrees of freedom. We show that the dynamics of such a Hermitian system demonstrate a transition, which occurs at the coupling strength between oscillators corresponding to the EP in the non-Hermitian system. This transition manifests itself even in the non-Markovian regime of the system dynamics in which collapses and revivals of the energy occur. Thus, we demonstrate that the phase transition occurring at the passing over the EP in the non-Hermitian system manifests itself in the Hermitian system at all time. We discuss the experimental scheme to observe the signature of EP phase transition in the non-Markovian regime.
