This paper investigates the ground-state properties of the mixture composed of the strongly interacting Tonks—Girardeau gas and spin polarized Fermi gas confined in one-dimensional harmonic traps, where the interaction between the Bose atoms and Fermi atoms is tunable. With a generalized Bose—Fermi transformation the mixture is mapped into a two-component Fermi gas. The homogeneous Fermi gas is exactly solvable by the Bethe-ansatz method and the ground state energy density can be obtained. Combining the ground-state energy function of the homogeneous system with local density approximation it obtains the ground-state density distributions of inhomogeneous mixture. It is shown that with the increase in boson—fermion interaction, the system exhibits composite-fermionization crossover.This paper investigates the ground-state properties of the mixture composed of the strongly interacting Tonks—Girardeau gas and spin polarized Fermi gas confined in one-dimensional harmonic traps, where the interaction between the Bose atoms and Fermi atoms is tunable. With a generalized Bose—Fermi transformation the mixture is mapped into a two-component Fermi gas. The homogeneous Fermi gas is exactly solvable by the Bethe-ansatz method and the ground state energy density can be obtained. Combining the ground-state energy function of the homogeneous system with local density approximation it obtains the ground-state density distributions of inhomogeneous mixture. It is shown that with the increase in boson—fermion interaction, the system exhibits composite-fermionization crossover.

Chinese Physics BJun 1, 20115 citations

Exact Ground-state Properties of Atomic Fermi Gases in Two Dimensions

Hao Shi, Simone Chiesa, Shiwei Zhang

Bulletin of the American Physical SocietyMar 4, 20150 citations

Properties of Spin-polarized Impurities — Ferrons, in the Unitary Fermi Gas

Buğra Tüzemen, P. Kukliński, Piotr Magierski +1 more

A new excitation mode has been predicted to exist in the unitary Fermi gas. It has a form of a spin-polarized impurity, which was dubbed as ferron. It is characterized by a closed nodal surface of the pairing field surrounding a partially spin-polarized superfluid region, where the phase differs by $π$ . In this paper, we discuss the effect of temperature on the generation of the ferron and the adiabaticity of the spin-polarizing potential together with ferron's ground state properties.A new excitation mode has been predicted to exist in the unitary Fermi gas. It has a form of a spin-polarized impurity, which was dubbed as ferron. It is characterized by a closed nodal surface of the pairing field surrounding a partially spin-polarized superfluid region, where the phase differs by $π$. In this paper, we discuss the effect of temperature on the generation of the ferron and the adiabaticity of the spin-polarizing potential together with ferron's ground state properties.

arXiv:1911.08848Acta Physica Polonica BJan 1, 202011 citations

Magnetic properties of spin-1/2 Fermi gases with ferromagnetic interaction

Baobao Wang, Jihong Qin, Huaiming Guo

arXiv:1412.4297The European Physical Journal BOct 1, 20151 citation

1D multicomponent Fermions with delta function interaction in strong and weak coupling limits: $κ$ -component Fermi gas1D multicomponent Fermions with delta function interaction in strong and weak coupling limits: $κ$-component Fermi gas

Xi-Wen Guan, Zhong-Qi Ma, Brendan Wilson

We derive the first few terms of the asymptotic expansion of the Fredholm equations for one-dimensional $κ$ -component fermions with repulsive and with attractive delta-function interaction in strong and weak coupling regimes. We thus obtain a highly accurate result for the ground state energy of a multicomponent Fermi gas with polarization for these regimes. This result provides a unified description of the ground state properties of the Fermi gas with higher spin symmetries. However, in contrast to the two-component Fermi gas, there does not exist a mapping that can unify the two sets of Fredholm equations as the interacting strength vanishes. Moreover, we find that the local pair correlation functions shed light on the quantum statistic effects of the $κ$ -component interacting fermions. For the balanced spin case with repulsive interaction, the ground state energy obtained confirms Yang and You's result [Chin. Phys. Lett. {\bf 28}, 020503 (2011)] that the energy per particle as $κ\to \infty$ is the same as for spinless Bosons.We derive the first few terms of the asymptotic expansion of the Fredholm equations for one-dimensional $κ$-component fermions with repulsive and with attractive delta-function interaction in strong and weak coupling regimes. We thus obtain a highly accurate result for the ground state energy of a multicomponent Fermi gas with polarization for these regimes. This result provides a unified description of the ground state properties of the Fermi gas with higher spin symmetries. However, in contrast to the two-component Fermi gas, there does not exist a mapping that can unify the two sets of Fredholm equations as the interacting strength vanishes. Moreover, we find that the local pair correlation functions shed light on the quantum statistic effects of the $κ$-component interacting fermions. For the balanced spin case with repulsive interaction, the ground state energy obtained confirms Yang and You's result [Chin. Phys. Lett. {\bf 28}, 020503 (2011)] that the energy per particle as $κ\to \infty$ is the same as for spinless Bosons.

arXiv:1201.4629Jan 23, 20120 citations

Spin interaction with an ideal Fermi gas

V. V. Aizenshtadt, V. A. Malyshev

Journal of Statistical PhysicsJul 1, 198723 citations

π

. In this paper, we discuss the effect of temperature on the generation of the ferron and the adiabaticity of the spin-polarizing potential together with ferron's ground state properties.

1D multicomponent Fermions with delta function interaction in strong and weak coupling limits:

κ

-component Fermi gas

We derive the first few terms of the asymptotic expansion of the Fredholm equations for one-dimensional

κ

-component fermions with repulsive and with attractive delta-function interaction in strong and weak coupling regimes. We thus obtain a highly accurate result for the ground state energy of a multicomponent Fermi gas with polarization for these regimes. This result provides a unified description of the ground state properties of the Fermi gas with higher spin symmetries. However, in contrast to the two-component Fermi gas, there does not exist a mapping that can unify the two sets of Fredholm equations as the interacting strength vanishes. Moreover, we find that the local pair correlation functions shed light on the quantum statistic effects of the

κ

-component interacting fermions. For the balanced spin case with repulsive interaction, the ground state energy obtained confirms Yang and You's result [Chin. Phys. Lett. {\bf 28}, 020503 (2011)] that the energy per particle as

κ\to \infty

is the same as for spinless Bosons.