Title :
A numerical simulation algorithm for non-Markovian dynamics in open quantum systems
Author_Institution :
Sch. of Autom., Guangdong Univ. of Technol., Guangzhou, China
Abstract :
The simulation methods based on stochastic realizations of state vector evolutions derived from the time convolutionless master equation are investigated. The quantum jumps for non-Markovian systems and their waiting time distribution is mainly focused on. With the help of an exact analytical waiting time distribution, the non-Markovian quantum trajectory for a stochastic process of a driven two-level system is generated. The effectiveness and superiority of the algorithm is verified by the performance comparing to our previous work in the sense of Markovian prosperities.
Keywords :
Markov processes; convolution; discrete systems; numerical analysis; stochastic systems; Markovian prosperity; convolutionless master equation; nonMarkovian dynamics; nonMarkovian quantum trajectory; nonMarkovian system; numerical simulation algorithm; open quantum systems; quantum jumps; simulation method; state vector evolution; stochastic process; stochastic realization; two-level system; waiting time distribution; Equations; Heuristic algorithms; Mathematical model; Numerical models; Numerical simulation; Quantum dots; Quantum mechanics; Non-Markovian dynamics; Numerical simulation; Open quantum systems; Waiting time distribution;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2014 11th World Congress on
DOI :
10.1109/WCICA.2014.7052899
