Quantum tunneling in the real-time path integral by the Lefschetz thimble method
Abstract
Quantum tunneling is mostly discussed in the Euclidean path integral formalism using instantons. On the other hand, it is difficult to understand quantum tunneling based on the real-time path integral due to its oscillatory nature, which causes the notorious sign problem. We show that recent development of the Lefschetz thimble method enables us to investigate this issue numerically. In particular, we find that quantum tunneling occurs due to complex trajectories, which are actually observable experimentally by using the so-called weak measurement.
Cite
@article{arxiv.2308.00345,
title = {Quantum tunneling in the real-time path integral by the Lefschetz thimble method},
author = {Jun Nishimura},
journal= {arXiv preprint arXiv:2308.00345},
year = {2023}
}
Comments
15 pages, 4 figures, Contribution to the proceedings of the Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2022), 28 August - 1 October 2022, Corfu, Greece, based on arXiv:2307.11199 [hep-th]