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Nonequilibrium work on spin glasses in longitudinal and transverse fields
Masayuki Ohzeki, Hitoshi Katsuda, Hidetoshi Nishimori
We derive a number of exact relations between equilibrium and nonequilibrium quantities for spin glasses in external fields using the Jarzynski equality and gauge symmetry. For ran…
Nonequilibrium work performed in quantum annealing
Masayuki Ohzeki, Hidestoshi Nishimori
Quantum annealing is a generic solver of classical optimization problems that makes full use of quantum fluctuations. We consider work statistics given by a repetition of quantum a…
Many-body spin glasses in the microcanonical ensemble
Zsolt Bertalan, Hidethoshi Nishimori
We investigate the p-spin model with Gaussian-distributed random interactions in the microcanonical ensemble using the replica theory. For p=2, there are only second-order phase tr…
Random-field p-spin glass model on regular random graphs
Yoshiki Matsuda, Hidetoshi Nishimori, Lenka Zdeborová +1
We investigate in detail the phase diagrams of the p-body +/-J Ising model with and without random fields on random graphs with fixed connectivity. One of our most interesting find…
Ensemble Inequivalence in the Ferromagnetic p-spin Model in Random Fields
Zsolt Bertalan, Takehiro Kuma, Yoshiki Matsuda +1
We study the effect that randomness has on long-range interacting systems by using the ferromagnetic Ising model with -body interactions in random fields. The case with p=2 yiel…
Microcanonical Analysis of Spin Glasses Using Gauge Symmetry
Hidetoshi Nishimori
We apply the method of gauge transformation to spin glasses under the microcanonical ensemble to study the possibility of ensemble inequivalence in systems with long-range interact…