Mitigating the Hubbard sign problem with complex-valued neural networks

نویسندگان

چکیده

Monte Carlo simulations away from half filling suffer a sign problem that can be reduced by deforming the contour of integration. Such transformation, which induces Jacobian determinant in Boltzmann weight, implemented using neural networks. This additional cost for generic network scales cubically with volume, preventing large-scale simulations. We implement an architecture, based on complex-valued affine coupling layers, reduces this to linear scaling. demonstrate efficacy method successfully applying it systems different size, largest is intractable other methods due its severe problem.

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ژورنال

عنوان ژورنال: Physical Review B

سال: 2022

ISSN: ['1098-0121', '1550-235X', '1538-4489']

DOI: https://doi.org/10.1103/physrevb.106.125139