One-dimensional hard-core anyon gas in a harmonic trap at finite temperature

2016/08/11 by Yajiang Hao, Yafei Song
Physics and Astronomy · #Anyon #Cold Atom Physics and Bose-Einstein Condensates #Density matrix #Distribution (mathematics) #Harmonic #Matrix (chemical analysis) #Momentum (technical analysis) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Thermal #cond-mat.quant-gas #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1140/epjd/e2017-70501-8

7 pages, 6 figures

arxiv created 2016/08/11 · openalex created_date 2016/09/16 · openalex publication_date 2017/06/01 · arxiv updated 2017/06/28 · openalex updated_date 2026/08/05

Abstract

We investigate the strongly interacting hard-core anyon gases in a one dimensional harmonic potential at finite temperature by extending thermal Bose-Fermi mapping method to thermal anyon-ferimon mapping method. With thermal anyon-fermion mapping method we obtain the reduced one-body density matrix and therefore the momentum distribution for different statistical parameters and temperatures. At low temperature hard-core anyon gases exhibit the similar properties as those of ground state, which interpolate between Bose-like and Fermi-like continuously with the evolution of statistical properties. At high temperature hard-core anyon gases of different statistical properties display the same reduced one-body density matrix and momentum distribution as those of spin-polarized fermions. The Tan's contact of hard-core anyon gas at finite temperature is also evaluated, which take the simple relation with that of Tonks-Girardeau gas C_b as C=\frac12(1-cosχπ)C_b.

Citations

• On the theory of identical particles
• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Quantum Mechanics of Fractional-Spin Particles
• Correlation functions of one-dimensional anyonic fluids
• Generalized virial theorem and pressure relation for a strongly correlated Fermi gas
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Sub-Poissonian Fluctuations in a 1D Bose Gas: From the Quantum Quasicondensate to the Strongly Interacting Regime
• Anyonic braiding in optical lattices
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Universal properties of the ultracold Fermi gas
• One-dimensional impenetrable anyons in thermal equilibrium: II. Determinant representation for the dynamic correlation functions
• High-momentum tail in the Tonks gas under harmonic confinement
• Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion
• Fault-tolerant quantum computation by anyons
• Correlation functions of one-dimensional Lieb–Liniger anyons
• Non-Abelian anyons and topological quantum computation
• Anyonic interferometry and protected memories in atomic spin lattices