2015/07/14 by Yajiang Hao, Yafei Song, Xiaochen Fu
Physics and Astronomy · #Atomic orbital #Bose gas #Cold Atom Physics and Bose-Einstein Condensates #Density matrix #Distribution (mathematics) #Fermi gas #Fermion #Harmonic #Momentum (technical analysis) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Wave function #cond-mat.quant-gas
paper · pdf · doi:10.1142/s0217979216502167
6 pages, 6 figures
arxiv created 2015/07/14 · openalex created_date 2016/06/24 · openalex publication_date 2016/08/19 · arxiv updated 2016/12/21 · openalex updated_date 2026/08/05
In the present paper, we investigate the Tonks–Girardeau (TG) gas confined in a harmonic trap at finite temperature with thermal Bose–Fermi mapping method. The pair distribution, density distribution, reduced one-body density matrix (ROBDM), the first-order correlation function, the occupations number of natural orbitals and momentum distribution are evaluated. In the whole temperature regime, the pair distribution and density distribution exhibit the same properties as those of spin-polarized fermions because both of them depend on the modulus of wavefunction rather than wavefunction. While the ROBDM, the first-order correlation function, the natural orbital occupation, momentum distribution, which depend on wavefunction, of Tonks gas displays Bose properties different from spin-polarized fermions at low temperature. At high temperature we cannot distinguish Tonks gas from the spin-polarized Fermi gas qualitatively by all properties.