Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation

Effective adiabatic control of a decoupled Hamiltonian obtained by rotating wave approximation
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通过旋转波近似获得解耦哈密顿量的有效绝热控制

DOI:
10.1016/j.automatica.2021.110034
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发表时间:
2020
期刊:
Autom.
影响因子:
--
通讯作者:
M. Sigalotti
M. Sigalotti
中科院分区:
--
文献类型:
--
作者:
Nicolas Augier;U. Boscain;M. Sigalotti

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本文研究了绝热控制策略在何种程度上可以应用于由旋波近似得到的量子控制模型。特别是,我们表明,在适当的假设之间的渐近制度的参数表征的旋转波和绝热近似,诱导流收敛到一个通过单独考虑两个近似,并通过将它们正式级联。因此,我们提出了明确的控制律,可用于诱导所需的人口转移,鲁棒性相对于受控哈密顿参数分散。
In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that, under suitable assumptions on the asymptotic regime between the parameters characterizing the rotating wave and the adiabatic approximations, the induced flow converges to the one obtained by considering the two approximations separately and by combining them formally in cascade. As a consequence, we propose explicit control laws which can be used to induce desired populations transfers, robustly with respect to parameter dispersions in the controlled Hamiltonian.
DOI: 10.1103/physrevlett.99.173601
发表时间: 2007-10-26
影响因子: 8.6
作者:
Irish, E. K.
通讯作者: Irish, E. K.