Circumventing spin-glass traps by microcanonical spontaneous symmetry breaking

doi:10.1103/PhysRevE.103.042112

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	Circumventing spin-glass traps by microcanonical spontaneous symmetry breaking
	Zhou, Hai-Jun ; Liao, Qinyi 1
刊名	PHYSICAL REVIEW E
	2021
卷号	103 期号:4 页码:42112
关键词	INFERENCE EXAMPLES ONLINE
ISSN号	2470-0045
DOI	10.1103/PhysRevE.103.042112
英文摘要	The 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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27286]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.[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
推荐引用方式 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.