[en] To date, dissipative phase transitions (DPTs) have mostly been studied for
quantum systems coupled to idealized Markovian (memoryless) environments, where
the closing of the Liouvillian gap constitutes a hallmark. Here, we extend the
spectral theory of DPTs to arbitrary non-Markovian systems and present a
general and systematic method to extract their signatures, which is fundamental
for the understanding of realistic materials and experiments such as in the
solid-state, cold atoms, cavity or circuit QED. We first illustrate our theory
to show how memory effects can be used as a resource to control phase
boundaries in a model exhibiting a first-order DPT, and then demonstrate the
power of the method by capturing all features of a challenging second-order DPT
in a two-mode Dicke model for which previous attempts had fail up to now.
Disciplines :
Physics
Author, co-author :
Debecker, Baptiste ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)
Martin, John ; Université de Liège - ULiège > Département de physique
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