We develop a model of a binary fermionic mixture, consisting of a large number of atoms, applicable at nonzero temperatures, in the normal phase. We use this approach to study the dynamics of degenerate Fermi systems under various perturbations. For example, we analyze the spin-dipole oscillations of a two-component fermionic mixture, demonstrating that the ferromagnetic phase shows up at a stronger repulsion between components while the temperature rises. We study as well the radial oscillations of weakly interacting repulsive Fermi gases. We obtain a good agreement with experimental data when available. Otherwise, we compare our results with the outcome of the Hartree-Fock orbital calculations done for a system with a small number of fermions.We develop a model of a binary fermionic mixture, consisting of a large number of atoms, applicable at nonzero temperatures, in the normal phase. We use this approach to study the dynamics of degenerate Fermi systems under various perturbations. For example, we analyze the spin-dipole oscillations of a two-component fermionic mixture, demonstrating that the ferromagnetic phase shows up at a stronger repulsion between components while the temperature rises. We study as well the radial oscillations of weakly interacting repulsive Fermi gases. We obtain a good agreement with experimental data when available. Otherwise, we compare our results with the outcome of the Hartree-Fock orbital calculations done for a system with a small number of fermions.

arXiv:2108.11134Physical Review AFeb 14, 20222 citations

Chromium dipolar Fermi sea

B. Naylor, Antoine Reigue, É. Maréchal +3 more

We report on the production of a degenerate Fermi gas of $^{53}\mathrm{Cr}$ atoms, polarized in the state $F=9/2, {m}_{F}=\ensuremath{-}9/2$, by sympathetic cooling with bosonic $S=3,\phantom{\rule{0.16em}{0ex}}{m}_{S}=\ensuremath{-}3 ^{52}\mathrm{Cr}$ atoms. We load in an optical dipole trap $3\ifmmode\times\else\texttimes\fi{}{10}^{4}^{53}\mathrm{Cr}$ atoms with ${10}^{6} ^{52}\mathrm{Cr}$ atoms. Despite the initial small number of fermionic atoms, we reach a final temperature of $T\ensuremath{\simeq}0.6\ifmmode\times\else\texttimes\fi{}{T}_{f}$ (Fermi temperature), with up to ${10}^{3} ^{53}\mathrm{Cr}$ atoms. This surprisingly efficient evaporation stems from an interisotope scattering length $|{a}_{BF}|=80(\ifmmode\pm\else\textpm\fi{}10){a}_{B}$ (Bohr radius) which is small enough to reduce evaporative losses of the fermionic isotope, but large enough to assure thermalization.We report on the production of a degenerate Fermi gas of $^{53}\mathrm{Cr}$ atoms, polarized in the state $F=9/2, {m}_{F}=\ensuremath{-}9/2$, by sympathetic cooling with bosonic $S=3,\phantom{\rule{0.16em}{0ex}}{m}_{S}=\ensuremath{-}3 ^{52}\mathrm{Cr}$ atoms. We load in an optical dipole trap $3\ifmmode\times\else\texttimes\fi{}{10}^{4}^{53}\mathrm{Cr}$ atoms with ${10}^{6} ^{52}\mathrm{Cr}$ atoms. Despite the initial small number of fermionic atoms, we reach a final temperature of $T\ensuremath{\simeq}0.6\ifmmode\times\else\texttimes\fi{}{T}_{f}$ (Fermi temperature), with up to ${10}^{3} ^{53}\mathrm{Cr}$ atoms. This surprisingly efficient evaporation stems from an interisotope scattering length $|{a}_{BF}|=80(\ifmmode\pm\else\textpm\fi{}10){a}_{B}$ (Bohr radius) which is small enough to reduce evaporative losses of the fermionic isotope, but large enough to assure thermalization.

arXiv:1411.4634Physical Review AJan 20, 201558 citations

Toward Fermionic Quantum Degeneracy

ScienceSep 10, 19990 citations

Use of the chemical potential for a limited number of fermions with a degenerate groundstate

L. F. Lemmens, F. Brosens, J. T. Devreese

arXiv:cond-mat/0303546The European Physical Journal BMar 1, 20034 citations

Quantum degeneracy in a fermionic atom gas

DeMarco, Jin Jin

Quantum Electronics and Laser Science ConferenceJan 1, 20000 citations

We report on the production of a degenerate Fermi gas of

^{53}\mathrm{Cr}

atoms, polarized in the state $F=9/2, {m}_{F}=\ensuremath{-}9/2$, by sympathetic cooling with bosonic $S=3,\phantom{\rule{0.16em}{0ex}}{m}_{S}=\ensuremath{-}3 ^{52}\mathrm{Cr}$ atoms. We load in an optical dipole trap $3\ifmmode\times\else\texttimes\fi{}{10}^{4}^{53}\mathrm{Cr}$ atoms with ${10}^{6} ^{52}\mathrm{Cr}$ atoms. Despite the initial small number of fermionic atoms, we reach a final temperature of $T\ensuremath{\simeq}0.6\ifmmode\times\else\texttimes\fi{}{T}_{f}$ (Fermi temperature), with up to ${10}^{3} ^{53}\mathrm{Cr}$ atoms. This surprisingly efficient evaporation stems from an interisotope scattering length $|{a}_{BF}|=80(\ifmmode\pm\else\textpm\fi{}10){a}_{B}$ (Bohr radius) which is small enough to reduce evaporative losses of the fermionic isotope, but large enough to assure thermalization.