Shortcuts to adiabaticity in quantum and stochastic thermodynamics

Shortcuts to adiabaticity (STA) have first been investigated in quantum mechanics and are associated with the design of fast routes towards the final results of slow, adiabatic changes of the controlling parameters of a system. A motivation to apply STA methods to quantum systems is to manipulate them on timescales shorter than decoherence times. These methods have been subsequently extended to generate shortcuts between two states, regardless of the existence of an adiabatic connection between them, or to manipulate quantum systems in the presence of dissipation. STA methods also combine well with other concepts and techniques, in particular, with optimal control theory. While this field is rooted in quantum mechanics, related questions emerge in stochastic thermodynamics. In this talk, I propose to review a few methods and applications of STA techniques in both domains, and discuss how they cross-fertilize.