Time reversal in two-dimensional quantum Ising systems

在这个项目中，我们的目标是在Rydberg-Rydberg相互作用耦合的二维光钳阵中实验实现时间反转协议。我们计划将微波选址和光学选址相结合，设计符号可逆的二元相互作用势。能够在一般的量子多体系统中逆转时间之箭，为量子模拟提供了一个强大的工具。它打开了新的控制和基准的可能性，并提供了访问新的观察物的途径。最终，可能会实现Loschmidt回声。新的观测值提供了了解复杂量子动力学的窗口，并允许对信息传播和热化率进行表征。一个突出的例子是无序(OTOC)关联函数，它对于表征纠缠在系统中的扩散很有用。时间反转也是量子计量学中的一种资源，在具有短距离相互作用的系统中，它可能允许利用在进化过程中产生的大量Fisher信息来实现具有增强灵敏度的新的健壮计量学协议。我们的目标是为量子模拟或计量学中的问题实现OTOC测量的时间反转协议的原理证明。

In this project we aim at the experimental realization of a time-reversal protocol in two-dimensional optical tweezer arrangements coupled by Rydberg-Rydberg interactions. We plan to combine microwave dressing with optical dressing to design binary interaction potentials with reversable sign. Being able to reverse the arrow of time in a generic quantum many-body system provides a powerful tool for quantum simulations. It opens novel control and benchmarking possibilities and provides access to new observables. Ultimately, a Loschmidt echo may be implemented. The new observables provide a window into the complex quantum dynamics and allow for the characterization of information spreading and thermalization rates. One prominent example are out-of-time-order (OTOC) correlation functions, which are useful to characterize entanglement spreading in the system. Time reversal is also a resource in quantum metrology and in systems with short ranged interactions it may allow to utilize the large Fisher information generated in during the evolution for new robust metrology protocols with enhanced sensitivity. We aim at a proof-of-principle implementation of the time reversal protocol for an OTOC measurement for a problem in quantum simulation or metrology.