ground-state spaces of frustration-free hamiltonians
文献类型：期刊论文
| 作者 | Chen Jianxin ; Ji Zhengfeng ; Kribs David ; Wei Zhaohui ; Zeng Bei |
| 刊名 | JOURNAL OF MATHEMATICAL PHYSICS
 |
| 出版日期 | 2012 |
| 卷号 | 53期号:10页码:- |
| ISSN号 | 0022-2488 |
| 中文摘要 | We study the ground-state space properties for frustration-free Hamiltonians. We introduce a concept of "reduced spaces" to characterize local structures of ground-state spaces. For a many-body system, we characterize mathematical structures for the set Theta(k) of all the k-particle reduced spaces, which with a binary operation called join forms a semilattice that can be interpreted as an abstract convex structure. The smallest nonzero elements in Theta(k), called atoms, are analogs of extreme points. We study the properties of atoms in Theta(k) and discuss its relationship with ground states of k-local frustration-free Hamiltonians. For spin-1/2 systems, we show that all the atoms in Theta(2) are unique ground states of some 2-local frustration-free Hamiltonians. Moreover, we show that the elements in Theta(k) may not be the join of atoms, indicating a richer structure for Theta(k) beyond the convex structure. Our study of Theta(k) deepens the understanding of ground-state space properties for frustration-free Hamiltonians, from the new perspective of reduced spaces. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.4748527 |
| 英文摘要 | We study the ground-state space properties for frustration-free Hamiltonians. We introduce a concept of "reduced spaces" to characterize local structures of ground-state spaces. For a many-body system, we characterize mathematical structures for the set Theta(k) of all the k-particle reduced spaces, which with a binary operation called join forms a semilattice that can be interpreted as an abstract convex structure. The smallest nonzero elements in Theta(k), called atoms, are analogs of extreme points. We study the properties of atoms in Theta(k) and discuss its relationship with ground states of k-local frustration-free Hamiltonians. For spin-1/2 systems, we show that all the atoms in Theta(2) are unique ground states of some 2-local frustration-free Hamiltonians. Moreover, we show that the elements in Theta(k) may not be the join of atoms, indicating a richer structure for Theta(k) beyond the convex structure. Our study of Theta(k) deepens the understanding of ground-state space properties for frustration-free Hamiltonians, from the new perspective of reduced spaces. (C) 2012 American Institute of Physics. http://dx.doi.org/10.1063/1.4748527 |
| 学科主题 | Physics |
| 收录类别 | SCI |
| 资助信息 | Natural Sciences and Engineering Research Council (Canada) (NSERC); National Science Foundation (NSF) of China 61179030; NSERC 400160, 400233, 400500; U.S. Army Research Office (ARO); Ontario Early Researcher Award 048142; Centre for Quantum Technologies; WBS R-710-000-008-271, R-710-000-007-271; Canadian Institute for Advanced Research (CIFAR) |
| 语种 | 英语 |
| WOS记录号 | WOS:000311711000014 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/15061]  |
| 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,Kribs David,et al. ground-state spaces of frustration-free hamiltonians[J]. JOURNAL OF MATHEMATICAL PHYSICS,2012,53(10):-. |
| APA | Chen Jianxin,Ji Zhengfeng,Kribs David,Wei Zhaohui,&Zeng Bei.(2012).ground-state spaces of frustration-free hamiltonians.JOURNAL OF MATHEMATICAL PHYSICS,53(10),-. |
| MLA | Chen Jianxin,et al."ground-state spaces of frustration-free hamiltonians".JOURNAL OF MATHEMATICAL PHYSICS 53.10(2012):-. |
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来源：软件研究所
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