Erlangen 2022 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 2: Quantum Gases (Bosons) I

Q 2.6: Talk

Monday, March 14, 2022, 15:30–15:45, Q-H10

Complex Langevin simulation of Bose-Einstein condensates — •Philipp Heinen and Thomas Gasenzer — Kirchhoff-Institut für Physik, Heidelberg

Complex Langevin (CL) is an approach to the solution of the sign problem, which arises when trying to numerically compute path integrals for complex-valued actions with standard Monte Carlo techniques. The idea behind the method is to rewrite the path integral as a stochastic Langevin equation. The latter can be straightforwardly generalized to the case of a complex action, leading to a stochastic evolution in a complexified field manifold. Whereas the application of CL has a long-standing tradition in high energy physics, in particular in the simulation of quantum chromodynamics at finite chemical potential, it is less established so far in the field of ultracold atomic gases. We present results of CL simulations for multi-component Bose-Einstein condensates.