Théorie spectrale des transitions de phase dissipatives non-markoviennes

Abstract

So far, dissipative phase transitions (DPTs) have been mostly studied for quantum systems coupled to idealized Markovian (memoryless) environments, where the closing of the Liouvillian gap consitutes a hallmark. Here, we extend the spectral theory of DPTs to arbitrary non-Markovian systems and present a general and systematic numerical method to extract their signatures, which is fundamental for the understanding of realistic materials and experimental platforms such as in the solid-state, cold atoms, or cavity and circuit QED