PreprintarXiv licencearXiv
Cluster moves with an entropic reservoir accelerate low-temperature simulations of three-dimensional spin glasses
Abstract
We present an algorithm for the simulation of three-dimensional spin glasses deep in the low-temperature phase: Parallel Tempering enhanced with Houdayer moves and with an entropic reservoir (PTHR). Although differences with the standard Houdayer algorithm are small, PTHR allows us to equilibrate a large number of samples of L=16 lattices with Gaussian couplings for temperatures T≥ 0.2. We show that the computational complexity displays better size scaling than standard Parallel Tempering. For finite sizes, our method outperforms other cluster algorithms by a speedup factor of around 64. In close analogy with standard Parallel Tempering, PTHR's computational complexity strongly relates to temperature chaos.
Versions
Related
- Detecting one-dimensional bosonic SPT phases via twisted entropic order parameter
- Effects of discharge flow and reservoir water level on intake water temperature with a front retaining wall
- Transitioning to the ultimate regime of convection in three-dimensional direct numerical simulations
- Quantum Simulations of Two-Dimensional Non-Abelian Adjoint String Breaking
- Finite-temperature spin diffusion in the two-dimensional XY model
BibTeX
@misc{chilin2026cluster,
title = {{Cluster moves with an entropic reservoir accelerate low-temperature simulations of three-dimensional spin glasses}},
author = {Claudio Chilin and Enzo Marinari and Víctor Martín-Mayor and Giorgio Parisi and Juan J. Ruiz-Lorenzo and David Yllanes},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2605.25872},
eprint = {2605.25872},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.25872},
}
RIS
TY - UNPB
TI - Cluster moves with an entropic reservoir accelerate low-temperature simulations of three-dimensional spin glasses
AU - Claudio Chilin
AU - Enzo Marinari
AU - Víctor Martín-Mayor
AU - Giorgio Parisi
AU - Juan J. Ruiz-Lorenzo
AU - David Yllanes
PY - 2026
DA - 2026/06/11
PB - arXiv
DO - 10.48550/arxiv.2605.25872
UR - https://arxiv.org/abs/2605.25872
AB - We present an algorithm for the simulation of three-dimensional spin glasses deep in the low-temperature phase: Parallel Tempering enhanced with Houdayer moves and with an entropic reservoir (PTHR). Although differences with the standard Houdayer algorithm are small, PTHR allows us to equilibrate a large number of samples of L=16 lattices with Gaussian couplings for temperatures T≥ 0.2. We show that the computational complexity displays better size scaling than standard Parallel Tempering. For finite sizes, our method outperforms other cluster algorithms by a speedup factor of around 64. In close analogy with standard Parallel Tempering, PTHR's computational complexity strongly relates to temperature chaos.
ER -