21.15109/ARP/6DXXZIVukics, AndrásAndrásVukics0000-0001-8916-4033Wigner Research Centre for PhysicsDombi, AndrásAndrásDombi0000-0003-2158-0609Wigner Research Centre for PhysicsFink, J. M.J. M.FinkInstitute of Science and Technology AustriaDomokos, PéterPéterDomokos60003548Wigner Research Centre for PhysicsARP2022PhysicsVukics, AndrásAndrásVukicsWigner Research Centre for 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1.0We prove that the observable telegraph signal accompanying the bistability in the photon-blockade-breakdown regime of the driven and lossy Jaynes–Cummings model is the finite-size precursor of what in the thermodynamic limit is a genuine first-order phase transition. We construct a finite-size scaling of the system parameters to a well-defined thermodynamic limit, in which the system remains the same microscopic system, but the telegraph signal becomes macroscopic both in its timescale and intensity. The existence of such a finite-size scaling completes and justifies the classification of the photon-blockade-breakdown effect as a first-order dissipative quantum phase transition.The dataset contains all the simulation data used exclusively in the cited publication. Beside their naming scheme, the trajectory and state files are tagged with the relevant parameters constituting the studied parameter space. Trajectory files contain headers identifying the software version used (as per git commit) plus all the physical parameters of the problem and a key to the interpretation of data columns.