Geometry of reduced density matrices for symmetry-protected topological phases

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	Geometry of reduced density matrices for symmetry-protected topological phases
	Chen, JY ; Ji, ZF ; Liu, ZX ; Shen, Y ; Zeng, B
刊名	PHYSICAL REVIEW A
	2016
卷号	93 期号:1
ISSN号	1050-2947
中文摘要	In this paper, we study the geometry of reduced density matrices for states with symmetry-protected topological (SPT) order. We observe ruled surface structures on the boundary of the convex set of low-dimensional projections of the reduced density matrices. In order to signal the SPT order using ruled surfaces, it is important that we add a symmetry-breaking term to the boundary of the system-no ruled surface emerges in systems without a boundary or when we add a symmetry-breaking term representing a thermodynamic quantity. Although the ruled surfaces only appear in the thermodynamic limit where the ground-state degeneracy is exact, we analyze the precision of our numerical algorithm and show that a finite-system calculation suffices to reveal the ruled surface structures.
英文摘要	In this paper, we study the geometry of reduced density matrices for states with symmetry-protected topological (SPT) order. We observe ruled surface structures on the boundary of the convex set of low-dimensional projections of the reduced density matrices. In order to signal the SPT order using ruled surfaces, it is important that we add a symmetry-breaking term to the boundary of the system-no ruled surface emerges in systems without a boundary or when we add a symmetry-breaking term representing a thermodynamic quantity. Although the ruled surfaces only appear in the thermodynamic limit where the ground-state degeneracy is exact, we analyze the precision of our numerical algorithm and show that a finite-system calculation suffices to reveal the ruled surface structures.
收录类别	SCI
语种	英语
WOS记录号	WOS:000367659500005
公开日期	2016-12-13
内容类型	期刊论文
源URL	[http://ir.iscas.ac.cn/handle/311060/17414]
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, JY,Ji, ZF,Liu, ZX,et al. Geometry of reduced density matrices for symmetry-protected topological phases[J]. PHYSICAL REVIEW A,2016,93(1).
APA	Chen, JY,Ji, ZF,Liu, ZX,Shen, Y,&Zeng, B.(2016).Geometry of reduced density matrices for symmetry-protected topological phases.PHYSICAL REVIEW A,93(1).
MLA	Chen, JY,et al."Geometry of reduced density matrices for symmetry-protected topological phases".PHYSICAL REVIEW A 93.1(2016).