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

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative scenarios: one is characterized by the presence of balanced gain and loss, the second involves non-Markovian dynamics with time-dependent Lindblad operators. As an illustration we engineer superadiabatic cooling, heating, and isothermal strokes for a two-level system.

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