Robust state preparation in quantum simulations of Dirac dynamics

TL;DR

This paper demonstrates how inverse-engineering techniques can be used to achieve robust state preparation in quantum simulations of Dirac dynamics, particularly in ultracold trapped ion systems, by controlling internal states despite coupling challenges.

Contribution

It introduces an inverse-engineering approach to improve robustness of state preparation in quantum simulations of Dirac equations, addressing coupling difficulties.

Findings

Successfully engineered robust population inversion processes

Enhanced control over internal states in Dirac quantum simulations

Demonstrated effectiveness of inverse-engineering techniques

Abstract

A non-relativistic system such as an ultracold trapped ion may perform a quantum simulation of a Dirac equation dynamics under specific conditions. The resulting Hamiltonian and dynamics are highly controllable, but the coupling between momentum and internal levels poses some difficulties to manipulate the internal states accurately in wave packets. We use invariants of motion to inverse engineer robust population inversion processes with a homogeneous, time-dependent simulated electric field. This exemplifies the usefulness of inverse-engineering techniques to improve the performance of quantum simulation protocols.