论文标题
来自Hermitian和非热量量子动态的紧急时间
Emergent spacetimes from Hermitian and non-Hermitian quantum dynamics
论文作者
论文摘要
我们表明，具有$ su（1,1）$对称系统的任何系统的量子动力学产生了2+1个维度的新兴抗DE保姆空间（ADS $ _ {2+1} $）。使用连续的电路深度，将量子演变映射到ADS $ _ {2+1} $中的轨迹。尽管实验室中测量的时间变成了适当的时间或适当的距离，但淬火动力学遵循广告$ _ {2+1} $的大地测量学。这种几何方法提供了对似乎断开连接的广泛原型现象的统一解释。例如，广告的光锥$ _ {2+1} $是从谐波陷阱，参数放大的现场和代表非官方系统中$ pt $对称性破坏的特殊点的统一费米子的扩展。我们的工作提供了一种透明的手段来通过利用紧急空间中的最短路径来优化量子控制。它还允许实验者设计出紧急的空间，并在不同的广告之间诱导隧道$ _ {2+1} $。
We show that quantum dynamics of any systems with $SU(1,1)$ symmetry give rise to emergent Anti-de Sitter spacetimes in 2+1 dimensions (AdS$_{2+1}$). Using the continuous circuit depth, a quantum evolution is mapped to a trajectory in AdS$_{2+1}$. Whereas the time measured in laboratories becomes either the proper time or the proper distance, quench dynamics follow geodesics of AdS$_{2+1}$. Such a geometric approach provides a unified interpretation of a wide range of prototypical phenomena that appear disconnected. For instance, the light cone of AdS$_{2+1}$ underlies expansions of unitary fermions released from harmonic traps, the onsite of parametric amplifications, and the exceptional points that represent the $PT$ symmetry breaking in non-Hermitian systems. Our work provides a transparent means to optimize quantum controls by exploiting shortest paths in the emergent spacetimes. It also allows experimentalists to engineer emergent spacetimes and induce tunnelings between different AdS$_{2+1}$.
