Superadiabatic dynamics in open quantum systems

TL;DR

This paper extends superadiabatic quantum control techniques to open quantum systems described by Lindblad master equations, providing a framework for achieving transitionless dynamics in the presence of environmental interactions.

Contribution

It introduces a general method to design control strategies for superadiabaticity in open quantum systems governed by Lindblad equations, expanding the applicability of transitionless quantum driving.

Findings

Framework for superadiabatic control in open systems

Application to two-level systems with time-dependent baths

Demonstration of transitionless evolution in open quantum dynamics

Abstract

We extend the concept of superadiabatic dynamics, or transitionless quantum driving, to quantum open systems whose evolution is governed by a master equation in the Lindblad form. We provide the general framework needed to determine the control strategy required to achieve superadiabaticity. We apply our formalism to two examples consisting of a two-level system coupled to environments with time-dependent bath operators.