The evolution of entanglement and decoherence of basset-hound states in an asymmetric three-mode open system

In this study, we examined the entanglement and decoherence properties of an open quantum system consisting of a three-mode asymmetric harmonic oscillator. The basset-hound state was initially chosen and Markovian approximation was assumed. Using PPT criterion and purity, we investigated the effect of the parameters of the system, the initial state and the environment on the evolution of the entanglement and decoherence. It was observed that the latter properties are dependent on the environmental parameters (temperature and dissipation coefficient), the initial state parameter (squeezing parameter) and the system parameter (asymmetric parameter). We observed that entanglement and purity are both decreasing functions of temperature, dissipation coefficient and the asymmetric parameter. On the other hand, purity is a decreasing function of the squeezing parameter, while the entanglement is an increasing function of the latter.