SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 7: Poster I

Q 7.24: Poster

Monday, March 6, 2023, 16:30–19:00, Empore Lichthof

Spectral Theory of Non-Markovian Dissipative Phase Transitions — •Baptiste Debecker, John Martin, and Francois Damanet — Universite de Liege, Liege, Belgique

The generation of phase transitions in quantum systems by coupling to engineered reservoirs provides a powerful way of accessing otherwise inaccessible non-equilibrium properties. However, until now, the theory of dissipative phase transitions (DPTs) has only been well established for quantum systems coupled to idealised Markovian environments, where Liouvillian gap closing is a hallmark. Here we extend the well-known Markovian formalism to general non-Markovian quantum systems. Furthermore, we illustrate our approach by showing how it can be used to reveal DPTs in standard quantum optical models, where the Lindblad description fails to capture them.

Our theory paves the way for exploring the dissipative control of phase transitions beyond the limiting Markovian regime, which is particularly important for understanding real materials or various other experimental platforms such as in the solid state, cold atoms, or cavity and circuit QED.