Subspace stabilization analysis for a class of non-Markovian open quantum systems

Shikun Zhang, Kun Liu*, Daoyi Dong, Xiaoxue Feng, Feng Pan

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

摘要

Studied in this article is non-Markovian open quantum systems parametrized by Hamiltonian H, coupling operator L, and memory kernel function γ, which is a proper candidate for describing the dynamics of various solid-state quantum information processing devices. We look into the subspace stabilization problem of the system from the perspective of dynamical systems and control. The problem translates itself into finding analytic conditions that characterize invariant and attractive subspaces. Necessary and sufficient conditions are found for subspace invariance based on algebraic computations, and sufficient conditions are derived for subspace attractivity by applying a double integral Lyapunov functional. Mathematical proof is given for those conditions and a numerical example is provided to illustrate the theoretical result.

源语言英语
文章编号042327
期刊Physical Review A
101
4
DOI
出版状态已出版 - 4月 2020

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