Dissipative Phase Transitions; Liouvillian; non-Markovian quantum systems
Abstract :
[en] 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.
Disciplines :
Physics
Author, co-author :
Debecker, Baptiste ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM) ; Université de Liège - ULiège > Département de physique > Optique quantique
Martin, John ; Université de Liège - ULiège > Département de physique ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)
Damanet, François ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)
Language :
English
Title :
Spectral theory of non-Markovian dissipative phase transitions
Alternative titles :
[fr] Théorie spectrale des transitions de phase dissipatives non-markoviennes
Original title :
[en] Spectral theory of non-Markovian dissipative phase transitions
