论文标题
耦合$ pt $ -smmetric Hamiltonians的光子量子模拟
Photonic quantum simulations of coupled $PT$-symmetric Hamiltonians
论文作者
论文摘要
平等时间（$ pt $）对称的哈密顿人通常是非热的人，在特殊点的特殊点，在量子系统中引起了异国情调的行为。量子系统中$ pt $ - 符合汉密尔顿的$ pt $ - 对称性汉密尔顿人的实现引发了模拟和调查跨特殊点的许多粒子量子系统的努力。在这里，我们使用可编程的集成光子芯片来模拟由$ pt $ - 对称的汉密尔顿人组成的双对组成的型号，其每一次都会倒转其双胞胎。我们模拟了跨特殊点（包括两粒子干扰）的量子动力学，以及由于经历了时间倒换演变的子系统之间的干扰而产生的粒子划分行为。这些结果表明了如何使用可编程量子模拟器来研究量子力学中的基础问题。
Parity-time ($PT$) symmetric Hamiltonians are generally non-Hermitian and give rise to exotic behaviour in quantum systems at exceptional points, where eigenvectors coalesce. The recent realisation of $PT$-symmetric Hamiltonians in quantum systems has ignited efforts to simulate and investigate many-particle quantum systems across exceptional points. Here we use a programmable integrated photonic chip to simulate a model comprised of twin pairs of $PT$-symmetric Hamiltonians, with each the time reverse of its twin. We simulate quantum dynamics across exceptional points including two- and three-particle interference, and a particle-trembling behaviour that arises due to interference between subsystems undergoing time-reversed evolutions. These results show how programmable quantum simulators can be used to investigate foundational questions in quantum mechanics.
