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

## TL;DR

This paper introduces a universal method to accelerate the evolution of driven open quantum systems along specific paths, applicable to systems with balanced gain and loss or non-Markovian dynamics, enabling faster quantum control processes.

## Contribution

It generalizes counterdiabatic driving to open quantum systems and provides practical protocols for rapid thermalization and state manipulation.

## Key findings

- Successfully engineered superadiabatic cooling, heating, and isothermal strokes.
- Demonstrated fast thermalization of a quantum oscillator.
- Applicable to systems with balanced gain/loss and non-Markovian dynamics.

## Abstract

A universal scheme is introduced to speed up the dynamics of a driven open quantum system along a prescribed trajectory of interest. This framework generalizes counterdiabatic driving to open quantum processes. Shortcuts to adiabaticity designed in this fashion can be implemented in two alternative physical scenarios: one characterized by the presence of balanced gain and loss, the other 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, and provide a protocol for the fast thermalization of a quantum oscillator.