Conditions for steady-state entanglement of quantum systems in a stationary environment under Markovian dissipation

We study the entanglement dynamics of an open quantum system composed of two identical two-level subsystems in a common stationary environment undergoing Markovian dissipation, with the help of a set of physical parameters defined with the collective transition coefficients of the system. We then systematically investigate the steady-state entanglement of such a system and obtain the necessary and sufficient condition for steady-state entanglement when it is initial-state dependent. We also show in particular conditions for steady-state entanglement in some circumstances and propose in general a conjecture for the necessary and sufficient condition when it is independent of the initial state.

Automated summary

In this study, we investigate the entanglement dynamics of an open quantum system composed of two identical two-level subsystems in a common stationary environment undergoing Markovian dissipation, using a set of physical parameters defined with the collective transition coefficients of the system. We systematically examine the steady-state entanglement of the system and provide the necessary and sufficient condition for steady-state entanglement when it is initial-state dependent, along with proposing a conjecture for conditions when it is independent of the initial state. Specific conditions for steady-state entanglement in certain circumstances are also demonstrated.