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We point out that Monte Carlo simulations of theories with severe signproblems can be profitably performed over manifolds in complex space differentfrom the one with fixed imaginary part of the action. We describe a family ofsuch manifolds that interpolate between the tangent space at one criticalpoint, where the sign problem is milder compared to the real plane but in somecases still severe, and the union of relevant thimbles, where the sign problemis mild but a multimodal distribution function complicates the Monte Carlosampling. We exemplify this approach using a simple 0 + 1 dimensional fermionmodel previously used on sign problem studies and show that it can solve themodel for some parameter values where a solution using Lefshetz thimbles waselusive.

Sign problem and Monte Carlo calculations beyond Lefschetz thimbles