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In this paper, we study the dynamical properties of two coupled quantumharmonic oscillators coupled with bosonic non-Markovian environment both inposition and momentum. We deduce the exact analytical master equation usingQuantum State Diffusion method and give the quantum trajectory description whenthe control is added to the system by applying interaction between two harmonicoscillators. With numerical simulation, we compare the evolution ofentanglement under different controlling effects. At last, we use nonlinearQuantum State Diffusion method to strengthen our above results by getting thesame evolution.

Quantum Brownian motion simulation of the control effect for two harmonic oscillators coupling in position and momentum with general environment