We examine the density profiles of the quantum degenerate Bose-Fermi mixture of $^{174}\mathrm{Yb}$ - $^{173}\mathrm{Yb}$ , experimentally observed recently, in the mean-field regime. In this mixture there is a possibility of tuning the Bose-Bose and Bose-Fermi interactions simultaneously using two well-separated optical Feshbach resonances, and it is a good candidate to explore phase separation in Bose-Fermi mixtures. Depending on the Bose-Bose scattering length ${a}_{\mathrm{BB}}$ , as the Bose-Fermi interaction is tuned the density of the fermions is pinched or swapping with bosons occurs.We examine the density profiles of the quantum degenerate Bose-Fermi mixture of $^{174}\mathrm{Yb}$-$^{173}\mathrm{Yb}$, experimentally observed recently, in the mean-field regime. In this mixture there is a possibility of tuning the Bose-Bose and Bose-Fermi interactions simultaneously using two well-separated optical Feshbach resonances, and it is a good candidate to explore phase separation in Bose-Fermi mixtures. Depending on the Bose-Bose scattering length ${a}_{\mathrm{BB}}$, as the Bose-Fermi interaction is tuned the density of the fermions is pinched or swapping with bosons occurs.

arXiv:1010.5800Physical Review AFeb 10, 20115 citations

Bose 気体および Fermi 気体の分布凾数について. I

池田和義

物性論研究Jan 1, 19520 citations

Critical temperature of Bose-Einstein condensation in trapped atomic Bose-Fermi mixtures

A. P. Albus, S. Giorgini, F. Illuminati +1 more

We calculate the shift in the critical temperature of Bose-Einstein condensation for a dilute Bose-Fermi mixture confined by a harmonic potential, to lowest order in both the Bose-Bose and Bose-Fermi coupling constans. The relativ importance of the effect on the critical temperature of the boson-fermion interactions is investigated as a function of the parameters of mixture. The possible relevance of the shift of the transition temperature in current experiments on trapped Bose-Fermi mixtures is discussed.We calculate the shift in the critical temperature of Bose-Einstein condensation for a dilute Bose-Fermi mixture confined by a harmonic potential, to lowest order in both the Bose-Bose and Bose-Fermi coupling constans. The relativ importance of the effect on the critical temperature of the boson-fermion interactions is investigated as a function of the parameters of mixture. The possible relevance of the shift of the transition temperature in current experiments on trapped Bose-Fermi mixtures is discussed.

Jan 1, 20022 citations

Weakly-Interacting Bose–Bose Mixtures from the Functional Renormalisation Group

Felipe Isaule, Ivan Morera

We provide a detailed presentation of the functional renormalisation group (FRG) approach for weakly-interacting Bose–Bose mixtures, including a complete discussion on the RG equations. To test this approach, we examine thermodynamic properties of balanced three-dimensional Bose–Bose gases at zero and finite temperatures and find a good agreement with related works. We also study ground-state energies of repulsive Bose polarons by examining mixtures in the limit of infinite population imbalance. Finally, we discuss future applications of the FRG to novel problems in Bose–Bose mixtures and related systems.We provide a detailed presentation of the functional renormalisation group (FRG) approach for weakly-interacting Bose–Bose mixtures, including a complete discussion on the RG equations. To test this approach, we examine thermodynamic properties of balanced three-dimensional Bose–Bose gases at zero and finite temperatures and find a good agreement with related works. We also study ground-state energies of repulsive Bose polarons by examining mixtures in the limit of infinite population imbalance. Finally, we discuss future applications of the FRG to novel problems in Bose–Bose mixtures and related systems.

arXiv:2112.06585Condensed MatterJan 20, 20226 citations

レーザー冷却された中性原子気体の Bose-Einstein 凝縮

上田正仁

日本物理學會誌Sep 5, 19980 citations

We examine the density profiles of the quantum degenerate Bose-Fermi mixture of

^{174}\mathrm{Yb}

^{173}\mathrm{Yb}

, experimentally observed recently, in the mean-field regime. In this mixture there is a possibility of tuning the Bose-Bose and Bose-Fermi interactions simultaneously using two well-separated optical Feshbach resonances, and it is a good candidate to explore phase separation in Bose-Fermi mixtures. Depending on the Bose-Bose scattering length

{a}_{\mathrm{BB}}

, as the Bose-Fermi interaction is tuned the density of the fermions is pinched or swapping with bosons occurs.