Supported by National Science Foundation of China(Grant Nos.12074340 and 12474492);the Science Foundation of Zhejiang Sci-Tech University(Grants No.20062098-Y,19062463-Y and 22062344-Y)。
Few-body physics for anyons has been intensively studied within the anyon-Hubbard model,including the quantum walk and Bloch oscillations of two-anyon states.Recently,theoretical and experimental simulations of two-an...
sponsored by the National Natural Science Foundation of China(Nos.12235007,11975131)。
A new type of symmetry,ren-symmetry,describing anyon physics and corresponding topological physics,is proposed.Ren-symmetry is a generalization of super-symmetry which is widely applied in super-symmetric physics such...
supported by the Fundamental Research Funds for the Central Universities Grant No.2020JKF306 and NSFC Grant No.11675119。
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 statisti...
Supported by the Excellent Doctorial Dissertation Cultivation Grant from Central China Normal University under Grant No.2013YBYB44;the Guidance Project of Education Department of Hubei Province under Grant No.B2014024;the Scientific and Technological Research Program of Education Department of Hubei Province under Grant Nos.Q20123004 and Q20134401;the Greative Teamof Hubei Polytechnic University under Grant No.13xtz05;the National Natural Science Foundation of China under Grant Nos.11105039,11275082,11178001,and 51302074
The thermal and electrical transport properties of an ideal anyon gas within fractional exclusion statistics are studied. By solving the Boltzmann equation with the relaxation-time approximation, the analytical expres...
Supported by the National Natural Science Foundation of China under Grant Nos. 11275082 and 11178001
The finite-temperature Pauli paramagnetic susceptibility of a three-dimensional ideal anyon gas obeying Haldane fractional exclusion statistics is studied analytically.Different from the result of an ideal Fermi gas,t...
Supported by the National Natural Science Foundation of China under Grant No. 10874098;the National Basic Research Program of China under Grant Nos. 2009CB929402, 2011CB9216002;the Specialized Research Fund for the Doctoral Program of Education Ministry of China under Grant No. 20060003048
Anyons can be used to realize quantum computation, because they are two-level systems in two dimensions. In this paper, we propose a scheme to simulate single-qubit gates and CNOT gate using Abelian anyons in the Kita...
Supported by National Natural Science Foundation of China;the National Program for Basic Research of MOST of China;the Key Lab of Frontiers in Theoretical Physics of CAS and a Fund From CAS
We study an anyon model in a toric honeycomb lattice. The ground states and the low-lying excitations coincide with those of Kitaev toric code model and then the excitations obey mutual semionic statistics. This model...
National Fundamental Research Program of China under Grant No.2001CB309310;National Natural Science Foundation of China under Grant No.60573008
In order to analyze a limiting case of the 1D delta anyon model,the coupling strength of the δ interactionc is modified to become a function of the anyonic parameter κ.A pedagogic derivation of the solution for this...
supported by National Natural Science Foundation of China and the Doctoral Education Fund of the Ministry of Education of China
In this paper,starting with the well known U(1)Chern-Simons Lagrangian and the covariant derivative ofa complex scalar matter field,we give a detailed discussion of some topological properties of anyons.We show that t...