Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point

TL;DR

This paper investigates the dissipative phase transition in a system with two-photon drive and nonlinear dissipation, highlighting quantum fluctuation effects on critical behavior and identifying a two-photon pump threshold.

Contribution

The study introduces a mean-field theory incorporating quantum fluctuations to accurately describe the system's dynamics and steady-state properties near the critical point.

Findings

Quantum fluctuations cause a power-law dependence of the anomalous average at criticality.

Existence of a two-photon pump threshold affecting the phase transition.

Results align well with numerical simulations.

Abstract

We study dissipative phase transition near the critical point for a system with two-photon driving and nonlinear dissipation. The proposed mean-field theory, which explicitly takes into account quantum fluctuations, allowed us to describe properly the evolution dynamics of the system and to demonstrate the new effects in the 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.