Intermediate symmetric construction of transformation between anyon and Gentile statistics

Abstract Gentile statistics describes fractional statistical systems in the occupation number representation. Anyon statistics researches those systems in the winding number representation. Both of them are intermediate statistics between Bose–Einstein and Fermi–Dirac statistics. The second quantiza...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 73; no. 6; p. 65601
Main Authors Shen, Yao, Zhang, Fu-Lin
Format Journal Article
LanguageEnglish
Published 01.06.2021
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Summary:Abstract Gentile statistics describes fractional statistical systems in the occupation number representation. Anyon statistics researches those systems in the winding number representation. Both of them are intermediate statistics between Bose–Einstein and Fermi–Dirac statistics. The second quantization of Gentile statistics shows a lot of advantages. According to the symmetry requirement of the wave function and the property of braiding, we give the general construction of transformation between anyon and Gentile statistics. In other words, we introduce the second quantization form of anyons in an easier way. This construction is a correspondence between two fractional statistics and gives a new description of anyon. Basic relations of second quantization operators, the coherent state and Berry phase are also discussed.
ISSN:0253-6102
1572-9494
DOI:10.1088/1572-9494/abef5e