Lyapunov stability analysis for invariant states of quantum systems

@article{Emzir2017LyapunovSA,
  title={Lyapunov stability analysis for invariant states of quantum systems},
  author={M. Emzir and Ian R. Petersen and Matthew J. Woolley},
  journal={2017 IEEE 56th Annual Conference on Decision and Control (CDC)},
  year={2017},
  pages={5505-5510}
}
In this article, we propose a Lyapunov stability approach to analyze the convergence of the density operator of a quantum system. In contrast to many previously studied convergence analysis methods for invariant density operators which use weak convergence, in this article we analyze the convergence of density operators by considering the set of density operators as a Banach space. We show that the set of invariant density operators is both closed and convex, which implies the impossibility of… 

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