Fractional Exclusion Statistics And Thermodynamic Properties Of Asymmetric Unitary Fermi Gases

In recent years,the research on the properties of ultracold Fermi atomic gases has been the focus of quantum physical attention.The transition from Bose-Einstein condensation(BEC)to Badding-Cooper-Schriff(BCS)superfluidity can be achieved by adjusting the external magnetic field to Fishbach resonance and changing the scattering length between fermions.When the absolute value of scattering length is infinite,there exists a two-body bound state with zero energy.Fermi gas is called unitary Fermi gas,and its thermodynamic properties are universal.Thermodynamic properties of spin-symmetric unitary Fermi gases at finite temperatures have been extensively discussed.With the deepening of the research,the research on the thermodynamic properties of spin-asymmetric polarized Fermi gases has become the focus of current theory and experiment.In this paper,the thermodynamic properties of uniform three-dimensional unitary fermion gas with spin asymmetry are studied by using Haldane fractional exclusion statistical model framework.The thermodynamic quantities such as internal energy,entropy and thermal capacity are obtained,and the numerical results are analyzed.The results show that the single particle internal energy and the single particle entropy of uniform three-dimensional unitary fermion gas with spin asymmetry system increase monotonously with the increase of temperature.And further effects of spin polarizability on thermodynamic quantities such as internal energy and entropy of a single particle are investigated.