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Real-space renormalization-group approach to the random transverse-field Ising model in finite dimensions
Ryoji Miyazaki, Hidetoshi Nishimori
The transverse-field Ising models with random exchange interactions in finite dimensions are investigated by means of a real-space renormalization-group method. The scheme yields t…
Ensemble Inequivalence in the Spherical Spin Glass Model with Nonlinear Interactions
Yuma Murata, Hidetoshi Nishimori
We investigate the ensemble inequivalence of the spherical spin glass model with nonlinear interactions of polynomial order . This model is solved exactly for arbitrary and…
Many-body transverse interactions in the quantum annealing of the p-spin ferromagnet
Beatriz Seoane, Hidetoshi Nishimori
We study the performance of quantum annealing for the simple -body infinite-range ferromagnetic Ising model. In particular, we generalize the transverse antiferromagnetic intera…
Quantum annealing with antiferromagnetic fluctuations
Yuya Seki, Hidetoshi Nishimori
We introduce antiferromagnetic quantum fluctuations into quantum annealing in addition to the conventional transverse-field term. We apply this method to the infinite-range ferroma…