Nonequilibrium physics in quenched fermionic models in two dimensions

基于强激光场创造的光学晶格中的超冷气体的精密实验技术，使得研究远离平衡的封闭量子系统成为可能。最近，费米子系统成为人们关注的焦点。本项目的目的是定量地理解非平衡费米子动力学在系统参数突变(猝灭)后费米面的时间演化过程中的表现。这些算法将进一步开发，以解决更长的时间，如松弛时间及其动量依赖。围绕动态相变的区域尤其令人着迷和具有挑战性。无限次逼近的稳态的有趣性质将通过具有固定相的贡献来获得。

Refined experimental techniques based on ultracold gases in optical lattices, created by intense laser fields, have allowed for studies of closed quantum systems far away from equilibrium. Recently, fermionic systems have come into focus. This project aims at a quantitative understanding of the nonequilibrium fermionic dynamics as it appears in the time evolution of the Fermi surface after an abrupt changes (quenches) of the system's parameters. The algorithms will be developed further to address longer times such as relaxation times and their momentum dependence. The region around dynamical phase transitions is particularly fascinating and challenging. The interesting properties of steady states approached at infinite times will be accessed via the contributions with stationary phases.