Quantum correlations, mixed states and bistability at the onset of lasing

Papoff, Francesco and Carroll, Mark Anthony and Lippi, Gian Luca and Oppo, Gian-Luca and D’Alessandro, Giampaolo (2024) Quantum correlations, mixed states and bistability at the onset of lasing. Physical Review A. ISSN 2469-9926 (In Press)

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Abstract

We derive a model for a single mode laser that includes all two particle quantum correlations between photons and electrons. In contrast to the predictions of semi-classical models, we find that lasing takes place in the presence of quantum bistability between a non-lasing and a non-classical coherent state. The coherent state is characterized by a central frequency and a finite linewidth and emerges with finite amplitude from a saddle-node bifurcation together with an unstable coherent state. Hence coherent emission in nanolasers originates through a mixing of lasing and non-lasing states. In the limit of a macrolaser with a large number of emitters and non-resonant modes, the laser threshold approaches the prediction of the semi-classical theory, but with the important difference that lasing can be achieved only in the presence of finite size perturbations.

ORCID iDs

Papoff, Francesco ORCID logoORCID: https://orcid.org/0000-0002-3456-343X, Carroll, Mark Anthony, Lippi, Gian Luca, Oppo, Gian-Luca ORCID logoORCID: https://orcid.org/0000-0002-5376-4309 and D’Alessandro, Giampaolo;