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

• URL: http://arxiv.org/abs/2304.07959v1
• Date: Mon, 17 Apr 2023 02:59:23 GMT
• Title: Dynamics of a driven open double two-level system and its entanglement generation
• Authors: W. Ma, X. L. Huang, and S. L. Wu
• Abstract summary: 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. 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 has a good performance in rapidly preparing the quantum state of open quantum systems.
• Score: 0.3058685580689604
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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