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Correlated fermions are of high interest in condensed matter (Fermi liquids,Wigner molecules), cold atomic gases and dense plasmas. Here we propose a novelapproach to path integral Monte Carlo (PIMC) simulations of strongly degeneratenon-ideal fermions at finite temperature by combining a fourth-orderfactorization of the density matrix with antisymmetric propagators, i.e.,determinants, between all imaginary time slices. To efficiently run through themodified configuration space, we introduce a modification of the widely usedcontinuous space worm algorithm, which allows for an efficient sampling atarbitrary system parameters. We demonstrate how the application of determinantsachieves an effective blocking of permutations with opposite signs, leading toa significant relieve of the fermion sign problem. To benchmark the capabilityof our method regarding the simulation of degenerate fermions, we considermultiple electrons in a quantum dot and compare our results with other abinitio techniques, where they are available. The present permutation blockingpath integral Monte Carlo approach allows us to obtain accurate results evenfor $N=20$ electrons at low temperature and arbitrary coupling, where no otherab initio results have been reported, so far.

Permutation blocking path integral Monte Carlo: A highly efficient approach to the simulation of strongly degenerate non-ideal fermions