Monte Carlo Method And Its Applications For Calculation Of Quantum Correlations In Open System

Monte carlo method,is known as statistical simulation method or the random sampling technique,it is based on the random number and the theory of probability and statistics,has been used as an useful numerical calculation method,and the current research has been widely applied in many fields.At first,the formation and development of monte carlo method are briefly reviewed in this paper.Moreover we introduce the application,the basic idea,basic principle and basic characteristics of monte carlo menthod.Furthermore,the application of monte carlo method in statistical physics is also introduced.Then,the paper briefly expounds the relevant theoretical knowledge of the measurement of quantum correlation which is main research direction in the thesis.And the main conceptions and relative theories of the quantum information theory and quantum correlation are described.Next,we use the monte carlo method to calculate two kinds of measurement of quantum correlation,and through the analysis of two concrete cases,the monte carlo simulation is consider for the evolution of quantum correlation and the result shows great simulation effect.Moreover,through the analysis we concluded that the initial state of atoms are prepared in the separate state sudden birth and sudden death phenomenon occur for steerability,while entanglement oscillates and only vanishes at discrete instants.However,in the entangled Bell-like initial state,sudden death only occurs in the case of single excited state but entangle-ment vanishes asymptotically.It also shows that the decay rates of the cavity fields play a destructive role in all cases for the model and the maximal value of steerability are sensitive to the asymmetry of the cavities.Furthermore,it is found the sudden death of steerability can be controlled by the hopping rate of the coupled cavities.At last,the end of the article gives the summary and outlook.