EAGER: Quantum Random Walks in the Bose Hubbard Circuit

粒子的随机行走可以作为许多不同现象的模型。这些包括噪声、隧道效应、拓扑保护和强相关性的开始。它们的应用包括短程重力的精确测试和基本常数的精确测量。本研究将利用量子晶格电路研究微波光子的量子相干随机游走。它将通过开发相关的状态准备和测量工具，将电路量子电动力学平台的能力扩展到量子多体物理领域。通过探索隧道、拓扑和相互作用的相互作用，在一个具有足够相干性的环境中允许出现实质性纠缠，我们将有机会开发材料中相关电子输运的直觉和定量粗粒度模型。这些研究将培养学生掌握量子科学和量子信息的知识和实验工具，这些工具将在美国和全球经济中发挥越来越重要的作用。最初的工作将探索由主要研究者开发的一维玻色-哈伯德量子电路晶格中单个光子的量子相干随机行走，然后将该技术扩展到更高维度的多个光子的纠缠行走。这项工作不仅将推动大型电路QED平台的操作，控制和读出的最新技术，而且将提供量子相关性在相互作用粒子动力学中的作用的基本见解，对高迁移率2deg和相关电子材料中的电子具有直接意义。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

Non-technical AbstractRandom walks of particles serve as a model for many different phenomena. These include noise, tunneling, topological protection, and the onset of strong correlations. Their applications include precision tests of short-range gravity, and precise measurements of fundamental constants. This work will study quantum coherent random walks of microwave photons using a quantum lattice circuit. It will extend the capabilities of the circuit quantum electrodynamics platform into the regime of quantum many body physics, through the development of correlated state-preparation and measurement tools. By exploring the interplay of tunneling, topology, and interactions in a setting with sufficient coherence to permit the emergence of substantial entanglement, we will have the opportunity to develop intuition and quantitative coarse-grained models of correlated electronic transport in materials. These studies will train students in the intellectual and experimental tools of quantum science and quantum information that will play an increasingly central role in the US and worldwide economies. Technical AbstractInitial work will explore quantum-coherent random walks of individual photons in a 1D Bose-Hubbard quantum circuit lattice developed by the principal investigators, and then extend this technique to entangled walks of multiple photons in higher dimensions. This work will not only advance the state-of-the-art for manipulation, control, and readout of large circuit QED platforms, but will provide essential insights into the role of quantum correlations in the dynamics of interacting particles, with direct implications for electrons in high mobility 2DEGs and correlated electron materials in general.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.