# Energy consumption for Shortcuts To Adiabaticity

## TL;DR

This paper investigates the energy costs of shortcuts to adiabaticity, proposing a quantification method that considers both the system and control device, and explores conditions for minimal or zero energy consumption.

## Contribution

It introduces a new way to quantify energy costs of shortcuts to adiabaticity by including control device energy, with a mechanical model illustrating various consumption scenarios.

## Key findings

- Energy consumption varies widely, including zero in frictionless cases.
- Negative power can be stored and recovered through regenerative braking.
- Energy cost depends on control device dynamics and friction.

## Abstract

Shortcuts to adiabaticity let a system reach the results of a slow adiabatic process in a shorter time. We propose to quantify the "energy cost" of the shortcut by the energy consumption of the system enlarged by including the control device. A mechanical model where the dynamics of the system and control device can be explicitly described illustrates that a broad range of possible values for the consumption are possible, including zero (above the adiabatic energy increment) when friction is negligible and the energy given away as negative power is stored and recovered by perfect regenerative braking.