Measurement-induced geometric features in quantum dynamics

量子测量是量子力学的支柱。最新的技术使得在各种协议中使用量子测量成为可能，用于精确测量、量子控制、量子反馈，甚至量子热力学。有了这样的控制水平，就有可能像最近提出的那样，使用量子测量来诱导量子动力学中的几何和拓扑保护特征。本项目的目的是为这种测量诱导的几何动力学奠定理论基础。它将从阐述解释不同哈密顿动力学影响的一般理论转向电子纳米结构实验的提出和建模。学生将广泛使用量子力学的理论工具和量子轨迹的数值模拟，并将获得电子纳米结构物理方面的经验。

Quantum measurement is a pillar of quantum mechanics. Recent technological make it possible to employ quantum measurements in a variety of protocols for precision measurement, quantum control, quantum feedback, and even quantum thermodynamics. With such a level of control, it is possible to use quantum measurements to induce geometric and topologically protected features in the quantum dynamics, as recently proposed. The project aim is to set the theoretical basis for this measurement induced geometric dynamics. It will move from the formulation of a general theory that accounts for the effects of different and Hamiltonian dynamics to the proposal and modelling of experiments in electronic nanostructures. The student will make extensive use of theoretical tools of quantum mechanics and numerical simulation of quantum trajectories and will gain experience in the physics of electronic nanostructures.