Quantum Thermodynamics with Degenerate Eigenstate Coherences
  We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs when the system exhibits degeneracies. The first and second law of thermodynamics are derived, as well as a finite-time fluctuation theorem for mechanical work and energy and matter currents. Using a double quantum dot junction model, local eigenbasis coherences are shown to play a crucial role on thermodynamics and on the electron counting statistics. 
Gregory Bulnes Cuetara, Massimiliano Esposito, Gernot Schaller
cond-mat.stat-mech