Requirement of system-reservoir bound states for entanglement protection

In this work, a genuine mechanism for entanglement protection of a two-qubit system interacting with a dissipative common reservoir is investigated. Based on generating a bound state for the system-reservoir, we show that stronger bound state in the energy spectrum can be created by adding another non-interacting qubits into the reservoir. It turns out that obtaining higher degrees of boundedness in the energy spectrum leads to a better protection of two-qubit entanglement against the dissipative noises. Also, it is figured out that the formation of bound state not only exclusively determines the long-time entanglement protection, irrespective to the Markovian and non-Markovian dynamics, but also performs the same task for reservoirs with different spectral densities.