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Quantum Algorithms
Crossing singularities in the saddle point approximation
arXiv
Authors: Job Feldbrugge, Dylan L. Jow, Ue-Li Pen
Year
2023
Paper ID
54578
Status
Preprint
Abstract Read
~2 min
Abstract Words
68
Citations
N/A
Abstract
We describe a new phenomenon in the study of the real-time path integral, where complex classical paths hit singularities of the potential and need to be analytically continued beyond the space for which they solve the boundary value problem. We show that the behavior is universal and central to the problem of quantum tunneling. These analytically continued complex classical paths enrich the study of real-time Feynman path integrals.
Why This Paper Matters
- It adds a 2023 reference point for readers tracking recent quantum research.
- We describe a new phenomenon in the study of the real-time path integral, where complex classical paths hit singularities of the potential and need to be analytically continued...
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