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Zhou, Hai-Jun; Liao, Qinyi1
Circumventing spin-glass traps by microcanonical spontaneous symmetry breaking
Source PublicationPHYSICAL REVIEW E
AbstractThe planted p-spin interaction model is a paradigm of random-graph systems possessing both a ferromagnetic phase and a disordered phase with the latter splitting into many spin-glass states at low temperatures. Conventional simulated annealing dynamics is easily blocked by these low-energy spin-glass states. Here we demonstrate that actually this planted system is exponentially dominated by a microcanonical polarized phase at intermediate energy densities. There is a discontinuous microcanonical spontaneous symmetry breaking transition from the paramagnetic phase to the microcanonical polarized phase. This transition can serve as a mechanism to avoid all the spin-glass traps, and it is accelerated by the restart strategy of microcanonical random walk. We also propose an unsupervised learning problem on microcanonically sampled configurations for inferring the planted ground state.
Cooperation Status国内
Subject AreaPhysics
MOST Discipline CataloguePhysics, Fluids & Plasmas ; Physics, Mathematical
Indexed BySCIE
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Document Type期刊论文
Affiliation1.[Zhou, Hai-Jun
2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
4.MinJiang Univ, MinJiang Collaborat Ctr Theoret Phys, Fuzhou 350108, Peoples R China
5.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Peoples R China
Recommended Citation
GB/T 7714
Zhou, Hai-Jun,Liao, Qinyi. Circumventing spin-glass traps by microcanonical spontaneous symmetry breaking[J]. PHYSICAL REVIEW E,2021,103(4):42112.
APA Zhou, Hai-Jun,&Liao, Qinyi.(2021).Circumventing spin-glass traps by microcanonical spontaneous symmetry breaking.PHYSICAL REVIEW E,103(4),42112.
MLA Zhou, Hai-Jun,et al."Circumventing spin-glass traps by microcanonical spontaneous symmetry breaking".PHYSICAL REVIEW E 103.4(2021):42112.
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