correlations in excited states of local hamiltonians
文献类型：期刊论文
| 作者 | Chen Jianxin ; Ji Zhengfeng ; Wei Zhaohui ; Zeng Bei |
| 刊名 | Physical Review A - Atomic, Molecular, and Optical Physics
 |
| 出版日期 | 2012 |
| 卷号 | 85期号:4页码:- |
| 关键词 | Excited states Ground state Molecular physics |
| ISSN号 | 1050-2947 |
| 中文摘要 | Physical properties of the ground and excited states of a k-local Hamiltonian are largely determined by the k-particle reduced density matrices (k-RDMs), or simply the k-matrix for fermionic systems-they are at least enough for the calculation of the ground-state and excited-state energies. Moreover, for a nondegenerate ground state of a k-local Hamiltonian, even the state itself is completely determined by its k-RDMs, and therefore contains no genuine k-particle correlations, as they can be inferred from k-particle correlation functions. It is natural to ask whether a similar result holds for nondegenerate excited states. In fact, for fermionic systems, it has been conjectured that any nondegenerate excited state of a 2-local Hamiltonian is simultaneously a unique ground state of another 2-local Hamiltonian, hence is uniquely determined by its 2-matrix. And a weaker version of this conjecture states that any nondegenerate excited state of a 2-local Hamiltonian is uniquely determined by its 2-matrix among all the pure n-particle states. We construct explicit counterexamples to show that both conjectures are false. We further show that any nondegenerate excited state of a k-local Hamiltonian is a unique ground state of another 2k-local Hamiltonian, hence is uniquely determined by its 2k-RDMs (or 2k-matrix). These results set up a solid framework for the study of excited-state properties of many-body systems. © 2012 American Physical Society. |
| 英文摘要 | Physical properties of the ground and excited states of a k-local Hamiltonian are largely determined by the k-particle reduced density matrices (k-RDMs), or simply the k-matrix for fermionic systems-they are at least enough for the calculation of the ground-state and excited-state energies. Moreover, for a nondegenerate ground state of a k-local Hamiltonian, even the state itself is completely determined by its k-RDMs, and therefore contains no genuine k-particle correlations, as they can be inferred from k-particle correlation functions. It is natural to ask whether a similar result holds for nondegenerate excited states. In fact, for fermionic systems, it has been conjectured that any nondegenerate excited state of a 2-local Hamiltonian is simultaneously a unique ground state of another 2-local Hamiltonian, hence is uniquely determined by its 2-matrix. And a weaker version of this conjecture states that any nondegenerate excited state of a 2-local Hamiltonian is uniquely determined by its 2-matrix among all the pure n-particle states. We construct explicit counterexamples to show that both conjectures are false. We further show that any nondegenerate excited state of a k-local Hamiltonian is a unique ground state of another 2k-local Hamiltonian, hence is uniquely determined by its 2k-RDMs (or 2k-matrix). These results set up a solid framework for the study of excited-state properties of many-body systems. © 2012 American Physical Society. |
| 收录类别 | EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000302600200001 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/15464]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Chen Jianxin,Ji Zhengfeng,Wei Zhaohui,et al. correlations in excited states of local hamiltonians[J]. Physical Review A - Atomic, Molecular, and Optical Physics,2012,85(4):-. |
| APA | Chen Jianxin,Ji Zhengfeng,Wei Zhaohui,&Zeng Bei.(2012).correlations in excited states of local hamiltonians.Physical Review A - Atomic, Molecular, and Optical Physics,85(4),-. |
| MLA | Chen Jianxin,et al."correlations in excited states of local hamiltonians".Physical Review A - Atomic, Molecular, and Optical Physics 85.4(2012):-. |
入库方式： OAI收割
来源：软件研究所
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