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• W2955947592 abstract "Quantum Monte Carlo simulations of quantum many body systems are plagued by the Fermion sign problem. The computational complexity of simulating Fermions scales exponentially in the projection time $beta$ and system size. The sign problem is basis dependent and an improved basis, for fixed errors, lead to exponentially quicker simulations. We show how to use sign-free quantum Monte Carlo simulations to optimize over the choice of basis on large two-dimensional systems. We numerically illustrate these techniques decreasing the `badness' of the sign problem by optimizing over single-particle basis rotations on one and two-dimensional Hubbard systems. We find a generic rotation which improves the average sign of the Hubbard model for a wide range of $U$ and densities for $L times 4$ systems. In one example improvement, the average sign (and hence simulation cost at fixed accuracy) for the $16times 4$ Hubbard model at $U/t=4$ and $n=0.75$ increases by $expleft[8.64(6)betaright]$. For typical projection times of $betagtrapprox 100$, this accelerates such simulation by many orders of magnitude." @default.
• W2955947592 created "2019-07-12" @default.
• W2955947592 creator A5057903883 @default.
• W2955947592 creator A5073233049 @default.
• W2955947592 date "2021-05-24" @default.
• W2955947592 modified "2023-10-03" @default.
• W2955947592 title "Mitigating the Sign Problem through Basis Rotations" @default.
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• W2955947592 doi "https://doi.org/10.1103/physrevlett.126.216401" @default.
• W2955947592 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/34114868" @default.
• W2955947592 hasPublicationYear "2021" @default.
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