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arXiv · 2304.07959

Dynamics of a driven open double two-level system and its entanglement generation

W. Ma·X. L. Huang·S. L. Wu
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Abstract

We investigate the dynamics of the driven open double two-level system by deriving a driven Markovian master equation based on the Lewis-Riesenfeld invariant theory. The transitions induced by coupling to the heat reservoir occur between the instantaneous eigenstates of the Lewis-Riesenfeld invariant. Therefore, different driving protocols associated with corresponding Lewis-Riesenfeld invariants result in different open system dynamics and symmetries. In particular, we show that since the instantaneous steady state of the driven double two-level system is one of eigenstates of the Lewis-Riesenfeld invariant at ultralow reservoir temperature, the inverse engineering method based on the Lewis-Riesenfeld invariants has a good performance in rapidly preparing the quantum state of open quantum systems. As an example, a perfect entangled state is generated by means of the inverse engineering method.

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W. Ma, X. L. Huang, S. L. Wu. 2023-04-17. Dynamics of a driven open double two-level system and its entanglement generation. https://doi.org/10.1103/physreva.107.032409

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