Fast-forward scaling theory for quantum dynamics on curved space-time

TL;DR

This paper develops a scaling theory for quantum dynamics in curved space-time, enabling control over speed and spatial scaling by deriving specific system parameters, with implications for understanding quantum behavior under gravity.

Contribution

It introduces a novel scaling framework for quantum dynamics on curved space-time, incorporating gravitational effects into speed and spatial control mechanisms.

Findings

Derived parameters for speed-controlled quantum dynamics in curved space-time

Established spatial scaling laws for quantum systems influenced by gravity

Provided a theoretical basis for manipulating quantum evolution in curved geometries

Abstract

Scaling properties inherent in quantum dynamics have been studied for various systems in terms of acceleration, deceleration and time reversing. We show a scaling property of quantum dynamics on curved space-time where gravity plays an essential role. We derive system parameters which realize speed-controlled dynamics. Moreover, we consider spatial scaling and derive system parameters which realize spatially-scaled quantum dynamics.