Dissipative Phase Transition in Systems with Two-Photon Drive and Nonlinear Dissipation near the Critical Point

• Published in: Nanomaterials (Basel, Switzerland) Vol. 12; no. 15; p. 2543
• Main Authors: Mylnikov, Valentin Yu, Potashin, Sergey O., Sokolovskii, Grigorii S., Averkiev, Nikita S.
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 24-07-2022; MDPI
• Subjects: Approximation; Critical phenomena; Critical point; Dissipation; dissipative phase transition; Fluctuations; Mean field theory; Phase transitions; Photons; quantum information processing; quantum metrology; Transition points
• ISSN: 2079-4991; 2079-4991
• DOI: 10.3390/nano12152543

In this paper, we examine dissipative phase transition (DPT) near the critical point for a system with two-photon driving and nonlinear dissipations. The proposed mean-field theory, which explicitly takes into account quantum fluctuations, allowed us to describe properly the evolutionary dynamics of the system and to demonstrate new effects in its steady-state. We show that the presence of quantum fluctuations leads to a power-law dependence of the anomalous average at the phase transition point, with which the critical exponent is associated. Also, we investigate the effect of the quantum fluctuations on the critical point renormalization and demonstrate the existence of a two-photon pump “threshold”. It is noteworthy that the obtained results are in a good agreement with the numerical simulations.