Encoding relativistic potential dynamics into free evolution

TL;DR

This paper introduces a method to simulate relativistic quantum equations with potentials by encoding the potential effects into initial states, enabling free evolution simulation, and extends this approach to interacting two-body systems.

Contribution

The authors develop a novel approach to simulate relativistic quantum dynamics with potentials using static transformations, simplifying the simulation process and extending it to two-body interactions.

Findings

Potential effects can be encoded in initial states for free evolution simulation.

Method applicable to Dirac and Majorana equations.

Extended to interacting two-body systems.

Abstract

We propose a method to simulate a Dirac or Majorana equation evolving under a potential with the use of the corresponding free evolution, while the potential dynamics is encoded in a static transformation upon the initial state. We extend our results to interacting two-body systems.