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Bulk Viscosity of Dual Bose and Fermi Gases in One Dimension

Tomohiro Tanaka, Yusuke Nishida

One-dimensional Bose and Fermi gases with contact interactions are known to exhibit the weak-strong duality, where the equilibrium thermodynamic properties of one system at weak coupling are identical to those of the other system at strong coupling. Here, we show that such duality extends beyond the thermodynamics to the frequency-dependent complex bulk viscosity, which is provided by the contact-contact response function. In particular, we confirm that the bulk viscosities of the Bose and Fermi gases agree in the high-temperature limit, where the systematic expansion in terms of fugacity is available at arbitrary coupling. We also compute their bulk viscosities perturbatively in the weak-coupling limit at arbitrary temperature, which via the duality serve as those of the Fermi and Bose gases in the strong-coupling limit.One-dimensional Bose and Fermi gases with contact interactions are known to exhibit the weak-strong duality, where the equilibrium thermodynamic properties of one system at weak coupling are identical to those of the other system at strong coupling. Here, we show that such duality extends beyond the thermodynamics to the frequency-dependent complex bulk viscosity, which is provided by the contact-contact response function. In particular, we confirm that the bulk viscosities of the Bose and Fermi gases agree in the high-temperature limit, where the systematic expansion in terms of fugacity is available at arbitrary coupling. We also compute their bulk viscosities perturbatively in the weak-coupling limit at arbitrary temperature, which via the duality serve as those of the Fermi and Bose gases in the strong-coupling limit.

arXiv:2206.07848Physical Review LettersNov 7, 20226 citations

Strongly Interacting Fermi Gases of Atoms and Molecules

Martin W. Zwierlein

Bulletin of the American Physical SocietyMar 3, 20150 citations

Strongly Interacting Homogeneous Fermi Gases

Biswaroop Mukherjee, Parth Patel, Zhenjie Yan +2 more

Bulletin of the American Physical SocietyMay 25, 20160 citations

On the stability of Bose–Fermi mixtures

Tomasz Karpiuk, Mirosław Brewczyk, Mariusz Gajda +1 more

We consider the stability of a mixture of degenerate Bose and Fermi gases. Even though the bosons effectively repel each other, the mixture can still collapse provided the Bose and Fermi gases attract each other strongly enough. For a given number of atoms and the strengths of the interactions between them, we find the geometry of a maximally compact trap that supports the stable mixture. We compare a simple analytical estimation for the critical axial frequency of the trap with results based on the numerical solution of hydrodynamic equations for the Bose–Fermi mixture.We consider the stability of a mixture of degenerate Bose and Fermi gases. Even though the bosons effectively repel each other, the mixture can still collapse provided the Bose and Fermi gases attract each other strongly enough. For a given number of atoms and the strengths of the interactions between them, we find the geometry of a maximally compact trap that supports the stable mixture. We compare a simple analytical estimation for the critical axial frequency of the trap with results based on the numerical solution of hydrodynamic equations for the Bose–Fermi mixture.

arXiv:physics/0503221Journal of Physics B Atomic Molecular and Optical PhysicsJun 14, 200525 citations

Fermi and Bose Gases

Wiley eBooksMay 6, 20140 citations

Recent studies of Feshbach resonance in the field of Bose-Einstein condensation

Yin Lan

Feshbach resonance is currently a very hot topic in the area of Bose-Einstein condensation, and has already been observed in most low\|temperature alkali gases. In these systems the interaction between atoms can be tuned from strong repulsion to strong attraction. A detailed overview is guven of the Feshbach resonance and two of its most important aspects, the superfluid phase in Fermi gases and the strong\|interaction regime in Bose gases.

Jan 1, 20041 citation

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