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We investigate the non-equilibrium dynamics of a driven-dissipative spinensemble with competing power-law interactions. We demonstrate that dynamicalphase transitions as well as bistabilities can emerge for asymptotic van derWaals interactions, but critically rely on the presence of a slower decayingpotential-core. Upon introducing random particle motion, we show that a finitegas temperature can drive a phase transition with regards to the spin degree offreedom and eventually leads to mean-field behaviour in the high-temperaturelimit. Our work reconciles contrasting observations of recent experiments withRydberg atoms in the cold-gas and hot-vapour domain, and introduces anefficient theoretical framework in the latter regime.

Driven-dissipative many-body systems with mixed power-law interactions: Bistabilities and temperature-driven non-equilibrium phase transitions