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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