Fast forward problem for adiabatic quantum dynamics: Estimation of the energy cost

TL;DR

This paper investigates the energy requirements for accelerating quantum system evolution using the Masuda-Nakamura fast forward protocol, analyzing models like a moving wall quantum box and a harmonic oscillator.

Contribution

It provides explicit energy cost estimates for quantum acceleration protocols and compares their efficiency with other existing methods.

Findings

Energy cost depends on the specific quantum model and acceleration duration.

Fast forward protocol can be more energy-efficient than traditional methods.

Quantitative analysis of energy requirements for different quantum acceleration scenarios.

Abstract

We consider the problem of energy cost needed for acceleration (deceleration) of the evolution of a quantum system using the Masuda-Nakamura fast forward protocol. In particular, we focus on dynamics by considering models for a quantum box with a moving wall and harmonic oscillator with time-dependent frequency. For both models we computed the energy needed for acceleration (deceleration) as a function of time. The results obtained are compared with those of other acceleration (deceleration) protocols