Some idea on quantum tunneling via Lefschetz thimbles
- 2020年11月12日10:30 - 12:00 (JST)
- 谷崎 佑弥 (京都大学 基礎物理学研究所 助教) Edit
- via Zoom
In this talk, I will explain my previous study with Takayuki Koike on a possible approach to quantum tunneling via Lefschetz thimbles. We classified all the complex saddle points for the real-time path integral for the symmetric double-well quantum mechanics. We looked at various properties of those complex solutions, which motivated us to conclude that the computation of tunneling amplitudes for the symmetric double well requires the interference of infinitely many Lefschetz thimbles. I would also like to talk about some speculations, admittingly being very optimistic.
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- Y. Tanizaki, T. Koike, Annals Phys. 351 (2014) 250: