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We simulate the dissipative dynamics of a mesoscopic system of long-rangeinteracting particles which can be mapped into non-Hermitian spin models with a$\mathcal{PT}$ symmetry. We find rich $\mathcal{PT}$-phase diagrams with$\mathcal{PT}$-symmetric and $\mathcal{PT}$-broken phases. The dynamicalregimes can be further enriched by modulating tunable parameters of the system.We outline how the $\mathcal{PT}$ symmetries of such systems may be probed bystudying their dynamics. We note that systems of Rydberg atoms and systems ofRydberg ions with strong dipolar interactions are particularly well suited forsuch studies. We show that for realistic parameters, long-range interactionsallow the emergence of new $\mathcal{PT}$-symmetric regions, generating new$\mathcal{PT}$-phase transitions. In addition, such $\mathcal{PT}$-symmetryphase transitions are found by changing the Rydberg atoms configurations. Wemonitor the transitions by accessing the populations of the Rydberg states.Their dynamics display oscillatory or exponential dependence in each phase.

Non-Hermitian dynamics and $\mathcal{PT}$-symmetry breaking in interacting mesoscopic Rydberg platforms