Environment-Assisted Shortcuts to Adiabaticity

TL;DR

This paper introduces a new environment-assisted method for achieving shortcuts to adiabaticity in quantum systems, utilizing envariance to control system evolution through environmental manipulation, offering a potentially more efficient alternative to traditional techniques.

Contribution

It presents a novel approach leveraging envariance for environment-controlled shortcuts to adiabaticity, including explicit construction of the required environmental driving for arbitrary-dimensional states.

Findings

Constructed the unique environmental driving form for adiabatic shortcuts.

Compared the cost of environment-assisted method with counterdiabatic driving.

Demonstrated the approach on a two-qubit quantum model.

Abstract

Envariance is a symmetry exhibited by correlated quantum systems. Inspired by this "quantum fact of life," we propose a novel method for shortcuts to adiabaticity which enables the system to evolve through the adiabatic manifold at all times, solely by controlling the environment. As main results, we construct the unique form of the driving on the environment that enables such dynamics, for a family of composite states of arbitrary dimension. We compare the cost of this environment-assisted technique with that of counterdiabatic driving, and we illustrate our results for a two-qubit model.