Correlation-enabled energy exchange in quantum systems without external driving

We study the role of correlation in mechanisms energy exchange between an interacting bipartite quantum system and its environment by decomposing to local correlation-related contributions. When Hamiltonian is time-independent, no external work performed. In this case, occurs only due change state system. investigate possibility a special case where with exclusively changes constituent parts system, while their energies remain constant. find sufficient conditions for preserving energies. It proven that under these within Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) dynamics scenario not possible all initial states Nevertheless, it still which unchanged during associated evolution whole energy. illustrate our results example.