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Quantum field theories with complex actions cannot be investigated usingimportance sampling due to the sign problem. One possible solution is to usethe holomorphic gradient flow, a method we introduced related to the Lefschetzthimbles idea. In many cases the probability distribution generated by thismethod is multi-modal and standard Monte-Carlo sampling fails. We propose analgorithm that incorporates tempered proposals to solve this problem. We applythis algorithm to the 0+1 dimensional Thirring model at finite density for aparameter set where standard sampling fails and show that tempered proposalscure this problem.

Tempered transitions between thimbles