Approach to solving spin-boson dynamics via non-Markovian quantum trajectories

Zeng-Zhao Li, Cho‐Tung Yip, Hai-Yao Deng, Mi Chen, Ting Yu, J. Q. You, Chi‐Hang Lam · Physical Review A · 2014

We develop a systematic and efficient approach for numerically solving the non-Markovian quantum state diffusion equation for an open quantum system that can be strongly coupled to an environment. As an important application, we consider a real-time simulation of a spin-boson model in a strong-coupling regime that is difficult to deal with using conventional methods. We show that the non-Markovian stochastic Schr\"odinger equation can be efficiently implemented as a real-time simulation for this model, so as to give an accurate description of spin-boson dynamics beyond the rotating-wave approximation.

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