The Induced Coherent Interaction of Localized Spins via Thermal Bosonic Environment.

We obtain the indirect coherent interaction between two spins induced by the bath of bosonic modes, and demonstrate that this interaction can create entanglement. We utilize a perturbative approach to obtain a quantum evolution equation for the two-spin dynamics. The induced interaction is calculated exactly. The exact solution is then used to identify the time scales for which the spins remain entangled.