6533b7dcfe1ef96bd1272925

RESEARCH PRODUCT

Sign problem of the fermionic shadow wave function

Malvin H. KalosThomas D. KühneFrancesco PederivaFrancesco Calcavecchia

subject

PhysicsSeries (mathematics)Quantum Monte CarloShadowProbability and statisticsContext (language use)Statistical physicsVariational Monte CarloWave functionSign (mathematics)

description

We present a whole series of methods to alleviate the sign problem of the fermionic shadow wave function in the context of variational Monte Carlo. The effectiveness of our techniques is demonstrated on liquid ^{3}He. We found that although the variance is reduced, the gain in efficiency is restricted by the increased computational cost. Yet, this development not only extends the scope of the fermionic shadow wave function, but also facilitates highly accurate quantum Monte Carlo simulations previously thought not feasible.

https://doi.org/10.1103/physreve.90.053304