Estimates of ground state energies for the quantum SK and 2D-EA model, using deGennes-Suzuki-Kubo mean-field annealing dynamics
Abstract
We perform a large scale simulation of quantum annealing in the Sherrington-Kirkpatrick (SK) spin glass up to a system size to estimate its ground state energy using the deGennes-Suzuki-Kubo mean-field Ising dynamics, extending the earlier results (reported in Eur. Phys. J. B {\bf 98}, 226 (2025)). Here we numerically solve the deGennes-Suzuki-Kubo annealing dynamics to obtain the spin configurations and subsequently the ground state energy for a given system size at the end of the annealing (to the desired quantum system at the corresponding values of the transverse field), starting from a quantum paramagnetic state. The method shows high efficiency, with an overall algorithmic cost of in estimating the energy of the ground state. We later extend this method to study the ground state energy of the Edwards-Anderson (EA) spin glass on a square lattice.
Comments: 6 pages, 5 figures
Cite
@article{arxiv.2605.29875,
title = {Estimates of ground state energies for the quantum SK and 2D-EA model, using deGennes-Suzuki-Kubo mean-field annealing dynamics},
author = {Soumyaditya Das and Soumyajyoti Biswas and Bikas K. Chakrabarti},
journal= {arXiv preprint arXiv:2605.29875},
year = {2026}
}