Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrodinger equation

Lin, Zidong1,2; Zhang, Lin3,4,5,6; Long, Xinyue1,2; Fan, Yu-ang1,2; Li, Yishan1,2; Tang, Kai1,2; Li, Jun1,2,7,8; Nie, XinFang1,2,8; Xin, Tao1,2,7,8; Liu, Xiong-Jun3,4,5,7; Lu, Dawei1,2,7,8

2022-06-29

10.1038/s41534-022-00587-3

NPJ QUANTUM INFORMATION   Impact Factor & Quartile

2056-6387

Noise is ubiquitous in real quantum systems, leading to non-Hermitian quantum dynamics, and may affect the fundamental states of matter. Here we report in an experiment a quantum simulation of the two-dimensional non-Hermitian quantum anomalous Hall (QAH) model using the nuclear magnetic resonance processor. Unlike the usual experiments using auxiliary qubits, we develop a stochastic average approach based on the stochastic Schrodinger equation to realize the non-Hermitian dissipative quantum dynamics, which has advantages in saving the quantum simulation sources and simplifying the implementation of quantum gates. We demonstrate the stability of dynamical topology against weak noise and observe two types of dynamical topological transitions driven by strong noise. Moreover, a region where the emergent topology is always robust regardless of the noise strength is observed. Our work shows a feasible quantum simulation approach for dissipative quantum dynamics with stochastic Schrodinger equation and opens a route to investigate non-Hermitian dynamical topological physics.

SCI ; EI

English

First ; Corresponding

National Key Research and Development Programof China["2019YFA0308100","2021YFA1400900"] ; National Natural Science Foundation of China[12075110,11825401,11975117,11905099,11875159,"U1801661"] ; Guangdong Basic and Applied Basic Research Foundation["2019A1515011383","2021B1515020070"] ; Guangdong International Collaboration Program[2020A0505100001] ; Science, Technology and Innovation Commission of Shenzhen Municipality["ZDSYS20170303165926217","KQTD20190929173815000","JCYJ20200109140803865","JCYJ20170412152620376","RCYX20200714114522109","JCYJ20180302174036418"] ; Open Project of Shenzhen Institute of Quantum Science and Engineering[SIQSE202003] ; Guangdong Innovative and Entrepreneurial Research Team Program[2019ZT08C044] ; Guangdong Provincial Key Laboratory[2019B121203002] ; Agencia Estatal de Investigacion["CEX2019-000910-S","PID2019-106901GB-I00"] ; Generalitat de Catalunya (AGAUR)[2017 SGR 1341]

Physics

Quantum Science & Technology ; Physics, Applied ; Physics, Atomic, Molecular & Chemical ; Physics, Condensed Matter

WOS:000820060200002

NATURE PORTFOLIO

20222712305789

Dynamics ; Quantum chemistry ; Quantum optics ; Stochastic systems

Control Systems:731.1 ; Light/Optics:741.1 ; Physical Chemistry:801.4 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Quantum Theory; Quantum Mechanics:931.4 ; Systems Science:961

2-s2.0-85133104442

Web of Science

1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Peking Univ, Int Ctr Quantum Mat, Beijing 100871, Peoples R China
4.Peking Univ, Sch Phys, Beijing 100871, Peoples R China
5.Collaborat Innovat Ctr Quantum Matter, Beijing 100871, Peoples R China
6.Barcelona Inst Sci & Technol, ICFO Inst Ciencies Foton, Av Carl Friedrich Gauss 3, Barcelona 08860, Spain
7.Int Quantum Acad, Shenzhen 518055, Peoples R China
8.Southern Univ Sci & Technol, Guangdong Prov Key Lab Quantum Sci & Engn, Shenzhen 518055, Peoples R China

Lin, Zidong,Zhang, Lin,Long, Xinyue,et al. Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrodinger equation[J]. NPJ QUANTUM INFORMATION,2022,8(1).

Lin, Zidong.,Zhang, Lin.,Long, Xinyue.,Fan, Yu-ang.,Li, Yishan.,...&Lu, Dawei.(2022).Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrodinger equation.NPJ QUANTUM INFORMATION,8(1).

Lin, Zidong,et al."Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrodinger equation".NPJ QUANTUM INFORMATION 8.1(2022).