Controlling Matter Phases beyond Markov

Controlling phase transitions in quantum systems via coupling to reservoirs
has been mostly studied for idealized memory-less environments under the
so-called Markov approximation. Yet, most quantum materials and experiments in
the solid state, atomic, molecular and optical physics are coupled to
reservoirs with finite memory times. Here, using the spectral theory of
non-Markovian dissipative phase transitions developed in the companion paper
[Debecker et al., Phys. Rev. A 110, 042201 (2024)], we show that memory effects
can be leveraged to reshape matter phase boundaries, but also reveal the
existence of dissipative phase transitions genuinely triggered by non-Markovian
effects.