Witnessing the boundary between Markovian and non-Markovian quantum dynamics: a Green’s function approach
- 254 Downloads
This paper presents a Green’s function-based root locus method to investigate the boundary between Markovian and non-Markovian open quantum systems in the frequency domain. A Langevin equation for the boson-boson coupling system is derived, where we show that the structure of the Green’s function dominates the system dynamics. In addition, by increasing the coupling between the system and its environment, the system dynamics are driven from Markovian to non-Markovian dynamics, which results from the redistribution in the modes of the Green’s function in the frequency domain. Both a critical transition and a critical point condition under Lorentzian noise are graphically presented using a root locus method. Related results are verified using an example of a boson-boson coupling system.
KeywordsNon-Markovian open quantum systems Markovian dynamics Green’s function Root locus Critical transition
This research was supported by the Australian Research Council under grant FL110100020. Re-Bing Wu acknowledges support from TNlist and Natural Science Foundation of China (Grant Nos. 61374091 and 61134008).
- 30.Ogata, K.: Modern Control Engineering. PrenticeHall, Englewood Cliffs (1996)Google Scholar
- 33.Xue, S., Wu, R.B., Tarn, T.J.: Modeling and analysis of non-Markovian open quantum systems for coherent feedback. In 3rd IFAC International Conference on Intelligent Control and Automation Science, 3, pp. 365–370, (2013)Google Scholar