Exact diagonalization: the Bose-Hubbard model as an example
文献类型：期刊论文
| 作者 | Zhang, JM ; Dong, RX |
| 刊名 | EUROPEAN JOURNAL OF PHYSICS
 |
| 出版日期 | 2010 |
| 卷号 | 31期号:3页码:591 |
| 关键词 | LANCZOS METHOD LINE |
| ISSN号 | 0143-0807 |
| 通讯作者 | Zhang, JM: Chinese Acad Sci, Inst Phys, Beijing 100080, Peoples R China. |
| 中文摘要 | We take the Bose-Hubbard model to illustrate exact diagonalization techniques in a pedagogical way. We follow the route of first generating all the basis vectors, then setting up the Hamiltonian matrix with respect to this basis and finally using the Lanczos algorithm to solve low lying eigenstates and eigenvalues. Emphasis is placed on how to enumerate all the basis vectors and how to use the hashing trick to set up the Hamiltonian matrix or matrices corresponding to other quantities. Although our route is not necessarily the most efficient one in practice, the techniques and ideas introduced are quite general and may find use in many other problems. |
| 收录类别 | SCI |
| 语种 | 英语 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iphy.ac.cn/handle/311004/37658]  |
| 专题 | 物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文 |
| 推荐引用方式 GB/T 7714 | Zhang, JM,Dong, RX. Exact diagonalization: the Bose-Hubbard model as an example[J]. EUROPEAN JOURNAL OF PHYSICS,2010,31(3):591. |
| APA | Zhang, JM,&Dong, RX.(2010).Exact diagonalization: the Bose-Hubbard model as an example.EUROPEAN JOURNAL OF PHYSICS,31(3),591. |
| MLA | Zhang, JM,et al."Exact diagonalization: the Bose-Hubbard model as an example".EUROPEAN JOURNAL OF PHYSICS 31.3(2010):591. |
入库方式： OAI收割
来源：物理研究所
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