Phase transitions in the finite-size limit of a dissipative three-level bosonic system

Abstract

Finite-size effects in many-body systems are known to modify established thermodynamics predictions, such as in phase transitions. In this work, we investigate the role of system size in the phase transitions of the open three-level Dicke model. Using a generic dissipative bosonic model consisting of three quantum levels, which can be realized in an atom cavity system, we demonstrate that quantum noise in the mesoscopic regime can induce static and temporal order that are otherwise inaccessible in the mean-field limit. Our work bridges the gap in understanding phase transitions in the three-level dissipative bosonic model, connecting the idealized mean-field theory to realistic finite-size scenarios characterized by inherent quantum noise.