Time reversal in two-dimensional quantum Ising systems

在这个项目中，我们的目标是在由里德堡-里德堡相互作用耦合的二维光镊排列中实验实现时间反转协议。我们计划将联合收割机微波修整与光学修整相结合，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箭头为量子模拟提供了一个强大的工具。它开辟了新的控制和基准测试的可能性，并提供了新的可观察性。最后，可以实现Loschlavian echo。新的观测量提供了一个窗口，复杂的量子动力学，并允许表征信息传播和热化率。一个突出的例子是无序（OTOC）的相关函数，这是有用的表征纠缠系统中的传播。时间反演也是量子计量中的资源，并且在具有短程相互作用的系统中，它可以允许利用在演化期间生成的大Fisher信息，用于具有增强的灵敏度的新的稳健计量协议。我们的目标是在量子模拟或计量学的问题的OTOC测量的时间反转协议的原理验证的实施。

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.