Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice

Zou, Haiyuan1; Zhao, Erhai2,3; Guan, Xi-Wen4; Liu, W. Vincent5,6,7,8,9

2019-05-10

10.1103/PhysRevLett.122.180401

PHYSICAL REVIEW LETTERS   影响因子和分区

0031-9007

1079-7114

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.

SCI ; EI

英语

NI论文

其他

National Key R&D Program of China[2017YFA0304500]

Physics

Physics, Multidisciplinary

WOS:000467739200001

AMER PHYSICAL SOC

20192106952029

Ground state ; Phase diagrams ; Topology ; Wave functions

Laser Beam Interactions:744.8 ; Mathematics:921 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4

PHYSICS

Web of Science

1.Shanghai Jiao Tong Univ, Tsung Dao Lee Inst, Shanghai 200240, Peoples R China
2.George Mason Univ, Dept Phys & Astron, Fairfax, VA 22030 USA
3.George Mason Univ, Quantum Mat Ctr, Fairfax, VA 22030 USA
4.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China
5.Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA
6.Shanghai Jiao Tong Univ, Wilczek Quantum Ctr, Sch Phys & Astron, Shanghai 200240, Peoples R China
7.Shanghai Jiao Tong Univ, TD Lee Inst, Shanghai 200240, Peoples R China
8.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
9.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China

Zou, Haiyuan,Zhao, Erhai,Guan, Xi-Wen,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).

Zou, Haiyuan,Zhao, Erhai,Guan, Xi-Wen,&Liu, W. Vincent.(2019).Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice.PHYSICAL REVIEW LETTERS,122(18).

Zou, Haiyuan,et al."Exactly Solvable Points and Symmetry Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice".PHYSICAL REVIEW LETTERS 122.18(2019).