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- W4386721746 abstract "The path optimization method, which is proposed to control the sign problem in quantum field theories with continuous degrees of freedom by machine learning, is applied to a spin model with discrete degrees of freedom. The path optimization method is applied by replacing the spins with dynamical variables via the Hubbard-Stratonovich transformation, and the sum with the integral. The one-dimensional (Lenz-)Ising model with a complex coupling constant is used as a laboratory for the sign problem in the spin model. The average phase factor is enhanced by the path optimization method, indicating that the method can weaken the sign problem. Our result reproduces the analytic values with controlled statistical errors." @default.
- W4386721746 created "2023-09-14" @default.
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- W4386721746 date "2023-09-12" @default.
- W4386721746 modified "2023-09-30" @default.
- W4386721746 title "Application of the path optimization method to a discrete spin system" @default.
- W4386721746 doi "https://doi.org/10.48550/arxiv.2309.06018" @default.
- W4386721746 hasPublicationYear "2023" @default.
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