Entanglement induced by noise: Emitters in thermal bandgap reservoirs

Emitter-field interactions in a bandgap reservoir at a finite temperature are investigated by means of a time-local Lindblad master equation derived specifically for this purpose. It is demonstrated that the entangled field-emitter state that arises as a result of the interaction does not survive at finite temperatures. On the other hand, the probability to excite such an entangled state by thermal excitation is found to be close to unity.