Quantum tunneling from excited states in the steadyon picture

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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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2026-10-13
DOI
https://doi.org/10.1103/l4wc-6383
Primary Topic
Quantum chaos and dynamical systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Quantum tunneling from excited states in the steadyon picture

Thomas Steingasser, J. Lin, Bruno Scheihing-Hitschfeld
Physical review. D/Physical review. D.
Quantum chaos and dynamical systems
article

Quantum tunneling from excited states in the steadyon picture

Thomas Steingasser, J. Lin, Bruno Scheihing-Hitschfeld
article en

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.

Physical review. D/Physical review. D.
Openalex Percentile: Top 98%
Quantum chaos and dynamical systems
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