Reversing adiabatic state preparation in few-level quantum systems

TL;DR

This paper explores fast and high-fidelity state preparation in a three-level quantum system using counterdiabatic control, and demonstrates reversing the process to analyze Berry's phase as a detector of transfer imperfections.

Contribution

It introduces a method to reverse adiabatic state preparation in a three-level system using counterdiabatic control, enabling cyclic evolution and phase analysis.

Findings

High-speed, high-fidelity state preparation achieved

Reversal of state preparation demonstrated

Berry's phase used as a sensitive detector

Abstract

We present a detailed study of an adiabatic state preparation in an effective three-level quantum system. States can be prepared with high speed and fidelity by adding a counterdiabatic (CD) quantum control protocol. As a second step, we invert the preparation protocol to get back to the initial state. This describes an overall cyclic evolution in state space. Using counterdiabatic terms, the resulting composed fast evolution can be repeated many times. We then analyze the control of Berry's phase along the adiabatic cyclic path and show that Berry's phase can act as a sensitive detector of non-perfect state transfer.