001     1034671
005     20250113214945.0
024 7 _ |a arXiv:2410.19148
|2 arXiv
024 7 _ |a 10.34734/FZJ-2024-07430
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037 _ _ |a FZJ-2024-07430
100 1 _ |a Temmen, Finn
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111 2 _ |a 41st International Symposium on Lattice Field Theory
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245 _ _ |a Overcoming Ergodicity Problems of the Hybrid Monte Carlo Method using Radial Updates
260 _ _ |c 2024
300 _ _ |a 10 pages, 5 figures, PoS(LATTICE2024)068
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500 _ _ |a 10 pages, 5 figures, contribution to the 41st International Symposium on Lattice Field Theory (Lattice 2024), July 28th - August 3rd, 2024, Liverpool, UK
520 _ _ |a Despite its many advantages, the sensible application of the Hybrid Monte Carlo (HMC) method is often hindered by the presence of large - or even infinite - potential barriers. These potential barriers partition the configuration space into distinct sectors, which leads to ergodicity violations and biased measurements of observables. In this work, we address this problem by augmenting the HMC method with a multiplicative Metropolis-Hastings update in a so-called 'radial direction' of the fields, which enables jumps over the aforementioned potential barriers at comparably low computational cost. The effectiveness of this approach is demonstrated for the Hubbard model, formulated in a non-compact space by means of a continuous Hubbard-Stratonovich transformation. Our numerical results show that the radial updates successfully resolve the ergodicity violation, while simultaneously reducing autocorrelations.
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536 _ _ |a DFG project G:(GEPRIS)511713970 - SFB 1639: NuMeriQS: Numerische Methoden zur Untersuchung von Dynamik und Strukturbildung in Quantensystemen (511713970)
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700 1 _ |a Berkowitz, Evan
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700 1 _ |a Kennedy, Anthony
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700 1 _ |a Ostmeyer, Johann
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700 1 _ |a Yu, Xinhao
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700 1 _ |a Luu, Tom
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856 4 _ |u https://juser.fz-juelich.de/record/1034671/files/RadialUpdates_Lattice2024_PoS068.pdf
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910 1 _ |a School of Physics and Astronomy, The University of Edinburgh
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910 1 _ |a Helmholtz-Institut für Strahlen- und Kernphysik
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910 1 _ |a School of Physics and Astronomy, The University of Edinburgh
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