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Robust state preparation in quantum simulations of Dirac dynamics

arXiv
Authors: Xue-Ke Song, Fu-Guo Deng, Lucas Lamata, J. G. Muga

Year

2016

Paper ID

41924

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

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.

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  • A non-relativistic system such as an ultracold trapped ion may perform a quantum simulation of a Dirac equation dynamics under specific conditions.

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