Papers › Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles
Computing real-time quantum path integrals on Sewed, almost-Lefschetz thimbles
Zong-Gang Mou, Paul M. Saffin, Anders Tranberg
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We present a method to compute real-time path integrals numerically, by Monte-Carlo sampling on near-Lefschetz thimbles. We present a collection of tools based on the Lefschetz thimble methods, which together provide an alternative to existing methods such as the Generalised thimble. These involve a convenient coordinate parameterization of the thimble, direct numerical integration along a radial coordinate into an effective path integral weight and locally deforming the Lefschetz thimble using its Gaussian (non-interacting theory) counterpart in a region about the critical point. We apply this to quantum mechanics, identify possible pitfalls and benefits, and benchmark its efficiency.
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