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Numerical Simulation of Finite-Temperature Field Theory for Interacting Bosons
Kris T Delaney1, Henri Orland2, Glenn H Fredrickson1,3
1Materials Research Laboratory, University of California, Santa Barbara, California 93106-5121, USA.
Abstract:
We report a stable and efficient complex Langevin sampling scheme for performing approximation-free numerical simulations directly on the path-integral coherent-states field theory for an assembly of interacting bosons. We apply the method to generate the λ line of critical phase transitions associated with Bose-Einstein condensation in a model ϕ^{4} scalar field theory. The new approach enjoys near-linear scaling in the resolved (d+1) spatial and imaginary-time dimensions and should be particularly efficient for the study of dense systems at low temperature.
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