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A universal scheme is introduced to speed up the dynamics of a driven openquantum system along a prescribed trajectory of interest. This frameworkgeneralizes counterdiabatic driving to open quantum processes. Shortcuts toadiabaticity designed in this fashion can be implemented in two alternativephysical scenarios: one characterized by the presence of balanced gain andloss, the other involves non-Markovian dynamics with time-dependent Lindbladoperators. As an illustration, we engineer superadiabatic cooling, heating, andisothermal strokes for a two-level system, and provide a protocol for the fastthermalization of a quantum oscillator.

Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution