Quantum adiabaticity has been found useful in quantum computation and quantum heat engines, owing to the suppression of excitations along the slow driving of the Hamiltonian. Recently, the study of finite-time operation has been put forward, and control techniques known as shortcuts to adiabaticity (STA) have appeared as a disruptive paradigm as they mimic the quantum adiabatic dynamics of the system and suppress excitations without the requirement of slow driving. For example, STA have been used to boost the performance of quantum heat engines by enhancing its output power at zero friction.
In this talk, we discuss the thermodynamic cost of implementing STA, which arises as a natural question with both fundamental and practical implications in nonequilibrium statistical mechanics. We show that while the mean work done by the auxiliary control field which implements STA vanishes, it leads to a broadening of the work distribution. We derive a fundamental inequality that relates nonequilibrium work fluctuations with the operation time that quantifies the thermodynamic cost of STA.