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Trapped Ion Quantum Computing

Quantum tunneling from excited states in the steadyon picture

arXiv
Authors: Joshua Lin, Bruno Scheihing-Hitschfeld, Thomas Steingasser

Year

2025

Paper ID

17310

Status

Preprint

Abstract Read

~2 min

Abstract Words

128

Citations

N/A

Abstract

Recent developments in the understanding of real-time path integrals led to the development of the "steadyon picture" for the semi-classical calculation of quantum tunneling rates. We discuss tunneling out of a generic localized initial state in this picture and present its application for the important example of a resonance state in a one-dimensional point particle potential. We find that the steadyon picture indeed reproduces existing results obtained using the WKB method. Our analysis furthermore demonstrates how applying this picture to physical states naturally addresses open conceptual questions regarding this framework. Finally, we perform a numerical study for a specific potential. We demonstrate in particular the existence of regimes in which the tunneling rate is dominated by higher resonances, rather than the false vacuum, as well as their importance.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • Recent developments in the understanding of real-time path integrals led to the development of the "steadyon picture" for the semi-classical calculation of quantum tunneling rates.

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