Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice | |
Liu, W. Vincent1,2,3,4,5; Guan, Xi-Wen6; Zhao, Erhai7,8; Zou, Haiyuan9 | |
刊名 | PHYSICAL REVIEW LETTERS |
2019-05-10 | |
卷号 | 122期号:18页码:5 |
ISSN号 | 0031-9007 |
DOI | 10.1103/PhysRevLett.122.180401 |
英文摘要 | A large number of symmetry-protected topological (SPT) phases have been hypothesized for strongly interacting spin-1/2 systems in one dimension. Realizing these SPT phases, however, often demands fine-tunings hard to reach experimentally. And the lack of analytical solutions hinders the understanding of their many-body wave functions. Here we show that two kinds of SPT phases naturally arise for ultracold polar molecules confined in a zigzag optical lattice. This system, motivated by recent experiments, is described by a spin model whose exchange couplings can be tuned by an external field to reach parameter regions not studied before for spin chains or ladders. Within the enlarged parameter space, we find the ground state wave function can be obtained exactly along a line and at a special point, for these two phases, respectively. These exact solutions provide a clear physical picture for the SPT phases and their edge excitations. We further obtain the phase diagram by using infinite time-evolving block decimation and discuss the phase transitions between the two SPT phases and their experimental signatures. |
资助项目 | National Natural Science Foundation of China[11804221] ; Science and Technology Commission of Shanghai Municipality[16DZ2260200] ; AFOSR[FA9550-16-1-0006] ; NSF[PHY-1707484] ; MURI-ARO[W911NF-17-1-0323] ; ARO[W911NF-11-1-0230] ; Overseas Scholar Collaborative Program of NSF of China - Peking University[11429402] ; key NSFC[11534014] ; National Key R&D Program of China[2017YFA0304500] |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | AMER PHYSICAL SOC |
WOS记录号 | WOS:000467739200001 |
资助机构 | National Natural Science Foundation of China ; National Natural Science Foundation of China ; Science and Technology Commission of Shanghai Municipality ; Science and Technology Commission of Shanghai Municipality ; AFOSR ; AFOSR ; NSF ; NSF ; MURI-ARO ; MURI-ARO ; ARO ; ARO ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; key NSFC ; key NSFC ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Science and Technology Commission of Shanghai Municipality ; Science and Technology Commission of Shanghai Municipality ; AFOSR ; AFOSR ; NSF ; NSF ; MURI-ARO ; MURI-ARO ; ARO ; ARO ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; key NSFC ; key NSFC ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Science and Technology Commission of Shanghai Municipality ; Science and Technology Commission of Shanghai Municipality ; AFOSR ; AFOSR ; NSF ; NSF ; MURI-ARO ; MURI-ARO ; ARO ; ARO ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; key NSFC ; key NSFC ; National Key R&D Program of China ; National Key R&D Program of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Science and Technology Commission of Shanghai Municipality ; Science and Technology Commission of Shanghai Municipality ; AFOSR ; AFOSR ; NSF ; NSF ; MURI-ARO ; MURI-ARO ; ARO ; ARO ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; Overseas Scholar Collaborative Program of NSF of China - Peking University ; key NSFC ; key NSFC ; National Key R&D Program of China ; National Key R&D Program of China |
内容类型 | 期刊论文 |
源URL | [http://ir.wipm.ac.cn/handle/112942/13678] |
专题 | 中国科学院武汉物理与数学研究所 |
通讯作者 | Zou, Haiyuan |
作者单位 | 1.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China 2.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China 3.Shanghai Jiao Tong Univ, TD Lee Inst, Shanghai 200240, Peoples R China 4.Shanghai Jiao Tong Univ, Wilczek Quantum Ctr, Sch Phys & Astron, Shanghai 200240, Peoples R China 5.Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA 6.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China 7.George Mason Univ, Quantum Mat Ctr, Fairfax, VA 22030 USA 8.George Mason Univ, Dept Phys & Astron, Fairfax, VA 22030 USA 9.Shanghai Jiao Tong Univ, Tsung Dao Lee Inst, Shanghai 200240, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, W. Vincent,Guan, Xi-Wen,Zhao, Erhai,et al. Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice[J]. PHYSICAL REVIEW LETTERS,2019,122(18):5. |
APA | Liu, W. Vincent,Guan, Xi-Wen,Zhao, Erhai,&Zou, Haiyuan.(2019).Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice.PHYSICAL REVIEW LETTERS,122(18),5. |
MLA | Liu, W. Vincent,et al."Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice".PHYSICAL REVIEW LETTERS 122.18(2019):5. |
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