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| Geometry of reduced density matrices for symmetry-protected topological phases | |
| Chen, JY; Ji, ZF; Liu, ZX; Shen, Y; Zeng, B | |
| 2016 | |
| Source | PHYSICAL REVIEW A
 |
| ISSN | 1050-2947 |
| Volume | 93Issue:1 |
| English Abstract | 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.; 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. |
| Indexed Type | SCI |
| Department | Tsinghua Univ, Dept Phys, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China. Perimeter Inst Theoret Phys, Waterloo, ON, Canada. Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada. Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing, Peoples R China. Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China. Univ Waterloo, Dept Stat & Actuarial Sci, Waterloo, ON N2L 3G1, Canada. Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada. |
| Language | 英语 |
| WOS ID | WOS:000367659500005 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/17414 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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). |
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