{"title":"正向行走格林函数的蒙特卡罗方法的相关函数","authors":"M. Samaras, C. Hamer","doi":"10.1071/PH98092","DOIUrl":null,"url":null,"abstract":"The forward-walking Green's Function Monte Carlo method is used to compute expectation values for the transverse Ising model in (1 p 1)D, and the results are compared with exact values. The magnetisation Mz and the correlation function p z (n) are computed. The algorithm reproduces the exact results, and convergence for the correlation functions seems almost as rapid as for local observables such as the magnetisation. The results are found to be sensitive to the trial wavefunction, however, especially at the critical point.","PeriodicalId":170873,"journal":{"name":"Australian Journal of Physics","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Forward-walking Green's function Monte Carlo method for correlation functions\",\"authors\":\"M. Samaras, C. Hamer\",\"doi\":\"10.1071/PH98092\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The forward-walking Green's Function Monte Carlo method is used to compute expectation values for the transverse Ising model in (1 p 1)D, and the results are compared with exact values. The magnetisation Mz and the correlation function p z (n) are computed. The algorithm reproduces the exact results, and convergence for the correlation functions seems almost as rapid as for local observables such as the magnetisation. The results are found to be sensitive to the trial wavefunction, however, especially at the critical point.\",\"PeriodicalId\":170873,\"journal\":{\"name\":\"Australian Journal of Physics\",\"volume\":\"66 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Australian Journal of Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1071/PH98092\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Australian Journal of Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1071/PH98092","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
摘要
采用前向格林函数蒙特卡罗方法计算了(1 p 1)D中横向Ising模型的期望值,并将结果与精确值进行了比较。计算了磁化强度Mz和相关函数pz (n)。该算法再现了精确的结果,并且相关函数的收敛速度几乎与局部可观测值(如磁化)的收敛速度一样快。结果对试验波函数很敏感,特别是在临界点处。
Forward-walking Green's function Monte Carlo method for correlation functions
The forward-walking Green's Function Monte Carlo method is used to compute expectation values for the transverse Ising model in (1 p 1)D, and the results are compared with exact values. The magnetisation Mz and the correlation function p z (n) are computed. The algorithm reproduces the exact results, and convergence for the correlation functions seems almost as rapid as for local observables such as the magnetisation. The results are found to be sensitive to the trial wavefunction, however, especially at the critical point.