Non-universal thermodynamics of a strongly interacting inhomogeneous Fermi gas using the quantum virial expansion

作者：Peng Shi Guo^*; Liu Xia Ji; Hu Hui; Li Shi Qun

来源：Physics Letters A, 2011, 375(33): 2979-2984.

DOI：10.1016/j.physleta.2011.06.045

• Fermi gas
• Quantum virial expansion
• Finite-range interaction
• Non-universal thermodynamics

Within a quantum virial expansion, we investigate theoretically the violation of universal thermodynamics for a strongly interacting unitary Fermi gas trapped in a harmonic potential. The violation is caused by the existence and anisotropy of the trapping potential and a finite-range of the two-body interaction. We calculate the second virial coefficient by solving a two-fermion problem in 3D uniform harmonic traps, as well as in anisotropic traps. In the unitarity limit, the universal value of the trapped second virial coefficient is 1/4. We discuss in detail the non-universal correction to the second virial coefficient and to the equation of state.

• 出版日期2011-8-1
• 单位清华大学