Quantum-gas microscopy of large-scale bosonic quantum gases

在这个项目中，我们将使用微观控制和检测相结合的方法来探索大规模玻色量子气体的非平衡动力学。我们将讨论三个主要领域，即一维和二维多体局域系统，大尺度海森堡模型中的自旋输运，以及与长程相互作用Rydberg态耦合的格子气体中的约束动力学。对于多体局部化系统，我们将探索根据我们量子气体显微镜的优势量身定做的新型探测器。我们将通过有限尺寸标度来研究二维分子轨道对热包裹体的稳定性和一维分子轨道的性质。作为局域系统的补充，我们将研究清洁两分量Bose-Hubbard模型中初始非平衡态的驰豫。我们的实验旨在探索最近观察到的超扩散自旋输运对破坏可积性微扰的稳定性，以及揭示初始态对自旋弛豫的作用。利用高激发里德堡态，我们的目标是实现一个横场伊辛模型。我们将使用我们的微观控制来准备特定的初始状态，由于动力学约束阻止了它们的衰变，这些初始状态特别长寿。谈到研究单位的三个中心目标，我们计划与所有理论项目密切合作。

In this project, we will explore the out-of-equilibrium dynamics of large-scale bosonic quantum gases using a combination of microscopic control and detection. We will address three broad areas, namely many-body localized systems in one and two spatial dimensions, spin transport in large-scale Heisenberg models and constrained dynamics in lattice gases coupled to long-range interacting Rydberg states. For many-body localized systems, we will explore novel probes tailored to the strengths of our quantum gas microscope. We will study the stability of MBL in two dimensions to the presence of thermal inclusions and the nature of one-dimensional MBL via finite-size scaling. Complementary to localized systems, we will study the relaxation of initial out-of-equilibrium states in the clean two-component Bose-Hubbard model. Our experiments aim to explore the stability of recently observed superdiffusive spin transport to integrability-breaking perturbations, as well as shed light on the role of the initial state on the spin relaxation. Using highly excited Rydberg states, we aim to realize a transverse field Ising model. We will use our microscopic control to prepare specific initial states, which are particularly long lived due to dynamical constraints preventing their decay. Touching on the three central objectives of the research unit, we plan to closely collaborate with all theoretical projects.