Real time quantum dynamics on the Lattice and Lefschetz thimbles

Anders Tranberg, Universitiet i Stavanger
Friday, November 25, 2022 - 14:00 to 15:00
Hall A, North Campus, Maynooth University

Quantum Field Dynamics in real time is notoriously difficult to compute exactly. In principle, direct numerical importance sampling of a lattice discretized the path integral includes everything. Unfortunately, such sampling is hard to carry out since the distribution in question is not real-valued, and since the integral converges extremely slowly. One way around this "sign" problem is to deform the many-dimensional integration contour into the complex domain. While still numerically very challenging, I will show some examples in quantum mechanics, where the method seems to do the job.

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Seminar Link