中国科学院软件研究所机构知识库
Advanced  
ISCAS OpenIR  > 软件所图书馆  > 期刊论文
Subject: Physics
Title:
ground-state spaces of frustration-free hamiltonians
Author: Chen Jianxin ; Ji Zhengfeng ; Kribs David ; Wei Zhaohui ; Zeng Bei
Source: JOURNAL OF MATHEMATICAL PHYSICS
Issued Date: 2012
Volume: 53, Issue:10, Pages:-
Indexed Type: SCI
Department: Chen Jianxin; Kribs David; Zeng Bei Univ Guelph Dept Math & Stat Guelph ON N1G 2W1 Canada. Chen Jianxin; Ji Zhengfeng; Kribs David; Zeng Bei Univ Waterloo Inst Quantum Comp Waterloo ON N2L 3G1 Canada. Ji Zhengfeng Chinese Acad Sci Inst Software State Key Lab Comp Sci Beijing Peoples R China. Wei Zhaohui Natl Univ Singapore Ctr Quantum Technol Singapore 117548 Singapore.
Sponsorship: 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)
Abstract: 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
English Abstract: 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
Language: 英语
WOS ID: WOS:000311711000014
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/15061
Appears in Collections:软件所图书馆_期刊论文

Files in This Item:

There are no files associated with this item.


Recommended Citation:
Chen Jianxin,Ji Zhengfeng,Kribs David,et al. ground-state spaces of frustration-free hamiltonians[J]. JOURNAL OF MATHEMATICAL PHYSICS,2012-01-01,53(10):-.
Service
Recommend this item
Sava as my favorate item
Show this item's statistics
Export Endnote File
Google Scholar
Similar articles in Google Scholar
[Chen Jianxin]'s Articles
[Ji Zhengfeng]'s Articles
[Kribs David]'s Articles
CSDL cross search
Similar articles in CSDL Cross Search
[Chen Jianxin]‘s Articles
[Ji Zhengfeng]‘s Articles
[Kribs David]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
Add to CiteULike Add to Connotea Add to Del.icio.us Add to Digg Add to Reddit
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2020  中国科学院软件研究所 - Feedback
Powered by CSpace