Shortcuts to adiabaticity by counter-diabatic driving

TL;DR

This paper presents experimentally feasible counter-diabatic driving protocols that enable rapid, adiabatic-like evolution of quantum systems, including many-body and nonlinear systems, without requiring slow driving or complex spectral information.

Contribution

It introduces new practical protocols for counter-diabatic driving applicable to a wide range of quantum systems without needing spectral details.

Findings

Protocols successfully applied to Bose-Einstein condensate decompression

Achieved rapid adiabatic-like evolution without complex spectral input

Demonstrated applicability to single-particle, many-body, and nonlinear systems

Abstract

The evolution of a system induced by counter-diabatic driving mimics the adiabatic dynamics without the requirement of slow driving. Engineering it involves diagonalizing the instantaneous Hamiltonian of the system and results in the need of auxiliary non-local interactions for matter-waves. Here experimentally realizable driving protocols are found for a large class of single-particle, many-body, and non-linear systems without demanding the spectral properties as an input. The method is applied to the fast decompression of Bose-Einstein condensates in different trapping potentials.