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In the vicinity of ground-state phase transitions quantum correlations candisplay non-analytic behavior and critical scaling. This signature of emergentcollective effects has been widely investigated within a broad range ofequilibrium settings. However, under nonequilibrium conditions, as found inopen quantum many-body systems, characterizing quantum correlations near phasetransitions is challenging. Moreover, the impact of local and collectivedissipative processes on quantum correlations is not broadly understood. Thisis, however, indispensable for the exploitation of quantum effects intechnological applications, such as sensing and metrology. Here we consider asa paradigmatic setting the superradiant phase transition of the open quantumDicke model and characterize quantum and classical correlations across thephase diagram. We develop an approach to quantum fluctuations which allows usto show that local dissipation, which cannot be treated within the commonlyemployed Holstein-Primakoff approximation, rather unexpectedly leads to anenhancement of collective quantum correlations, and to the emergence of anonequilibrium superradiant phase in which the bosonic and spin degrees offreedom of the Dicke model are entangled.

Quantum fluctuations and correlations in open quantum Dicke models