摘要
In our previous work(Meng et al 2020 Phys.Rev.A 101023838),we discover the phenomenon that the quantum entanglement on the driving threshold line remains a constant in a three-mode optomechanical phonon laser system.In this paper,to find the conditions under which the constant boundary entanglement shows up,we explicitly study how this boundary entanglement depends on various parameters through numerical integrations.The results show that the necessary and sufficient condition is a resonant frequency match between the optical frequency difference and the mechanical vibrational frequency,and this constant value is proportional to the multiplication of the square of the optomechanical coupling strength and the resonant driving threshold power.
基金
supported by the National Natural Science Foundation of China under Grant Nos.11574398 and 61632021
the National Basic Research Program of China under Grant No.2016YFA0301903
by the Natural Science Foundation of Hunan Province of China under Grant Nos.2018JJ2467 and 2018JJ1031。
