Fast quasi-adiabatic dynamics

TL;DR

This paper introduces a fast quasi-adiabatic method to accelerate slow adiabatic processes in quantum systems, enabling quicker state manipulations while maintaining near-adiabatic conditions.

Contribution

The authors develop a theoretical framework and demonstrate applications of a rapid quasi-adiabatic approach to improve quantum state control in various systems.

Findings

Significant speed-up in population inversion in two-level systems

Enhanced splitting and cotunneling in interacting bosons

Efficient stirring of a Tonks-Girardeau gas for mesoscopic superpositions

Abstract

We work out the theory and applications of a fast quasi-adiabatic approach to speed up slow adiabatic manipulations of quantum systems by driving a control parameter as near to the adiabatic limit as possible over the entire protocol duration. Specifically, we show that the population inversion in a two-level system, the splitting and cotunneling of two-interacting bosons, and the stirring of a Tonks-Girardeau gas on a ring to achieve mesoscopic superpositions of many-body rotating and non-rotating states, can be significantly speeded up.