Estimates of ground state energies for the quantum SK and 2D-EA model, using deGennes-Suzuki-Kubo mean-field annealing dynamics
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| Format: | Preprint |
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2026
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| author | Das, Soumyaditya Biswas, Soumyajyoti Chakrabarti, Bikas K. |
| author_facet | Das, Soumyaditya Biswas, Soumyajyoti Chakrabarti, Bikas K. |
| contents | We perform a large scale simulation of quantum annealing in the Sherrington-Kirkpatrick (SK) spin glass up to a system size $N=40000$ 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 $O(N^3)$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_29875 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Estimates of ground state energies for the quantum SK and 2D-EA model, using deGennes-Suzuki-Kubo mean-field annealing dynamics Das, Soumyaditya Biswas, Soumyajyoti Chakrabarti, Bikas K. Disordered Systems and Neural Networks Statistical Mechanics We perform a large scale simulation of quantum annealing in the Sherrington-Kirkpatrick (SK) spin glass up to a system size $N=40000$ 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 $O(N^3)$ 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. |
| title | Estimates of ground state energies for the quantum SK and 2D-EA model, using deGennes-Suzuki-Kubo mean-field annealing dynamics |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2605.29875 |