Mylnikov Valentin Yu, Potashin Sergey O, Sokolovskii Grigorii S, Averkiev Nikita S
Ioffe Institute, 194021 St. Petersburg, Russia.
Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russia.
Nanomaterials (Basel). 2022 Jul 24;12(15):2543. 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.
在本文中，我们研究了具有双光子驱动和非线性耗散的系统在临界点附近的耗散相变（DPT）。所提出的平均场理论明确考虑了量子涨落，使我们能够恰当地描述系统的演化动力学，并在其稳态中展示新的效应。我们表明，量子涨落的存在导致相变点处反常平均值的幂律依赖关系，临界指数与之相关。此外，我们研究了量子涨落对临界点重整化的影响，并证明了双光子泵浦“阈值”的存在。值得注意的是，所得结果与数值模拟结果吻合良好。
