Principal component analysis for fractional quantum Hall states in bilayer systems

Jin，Qin1,5; Wang，Hao2,3,4

2022-03-06

10.1016/j.physleta.2022.127921

PHYSICS LETTERS A   影响因子和分区

0375-9601

1873-2429

We initiate an unsupervised machine learning (ML) study with the principal component analysis (PCA) for two example bilayer fractional quantum Hall (FQH) systems at filling factors ν=4/5 and 2/3 where the interlayer tunneling effect and Coulomb interaction are considered. Some common features in PCA are exploited to recognize the transition and boundary between two competing ground state (GS) phases even without a complete softening in the spectrum. We also provide the numerical evidence to confirm a bilayer system as an analogy to its single-layer counterpart at large interlayer tunneling limit. The general approaches with PCA have been applied to determine the collapsing boundaries for phases at the strongly-correlated bilayer limit, the decoupled bilayer limit, and the strong interlayer tunneling limit, which lead to the qualitatively similar phase diagrams as previous numerical studies but do not rely on explicit knowledge of the states. Thus, our PCA study is extendable for other unfamiliar bilayer systems.

Bilayer system Fractional quantum Hall state Principal component analysis

SCI ; EI

英语

通讯

Physics

Physics, Multidisciplinary

WOS:000768149300001

ELSEVIER

20220311459709

Ground state ; Quantum Hall effect ; Quantum theory

Mathematical Statistics:922.2 ; Classical Physics; Quantum Theory; Relativity:931 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

2-s2.0-85122640675

Scopus

1.Department of Physics,Harbin Institute of Technology,Harbin,150001,China
2.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
3.International Quantum Academy,Shenzhen,518048,China
4.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
5.Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China

Jin，Qin,Wang，Hao. Principal component analysis for fractional quantum Hall states in bilayer systems[J]. PHYSICS LETTERS A,2022,427.

Jin，Qin,&Wang，Hao.(2022).Principal component analysis for fractional quantum Hall states in bilayer systems.PHYSICS LETTERS A,427.

Jin，Qin,et al."Principal component analysis for fractional quantum Hall states in bilayer systems".PHYSICS LETTERS A 427(2022).