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Overcritical Fermi superfluids

Alexander F. Andreev, Lev A. Melnikovsky

Superfluidity in Fermi systems is not destroyed by a flow exceeding the Landau velocity threshold. The overcritical state acquires a normal component even at zero temperature. We explore the peculiar hydrodynamics of this system and discover two sound modes, for which the explicit universal dispersion relations are provided.

arXiv:2305.06229Physical review. B./Physical review. BJul 7, 20232 citations

Reduced density-matrix equations and superfluid hydrodynamics

H. Haug, K. Weiss

PhysicaMay 1, 19725 citations

Splitting superfluid hydrodynamic equations and instability of solutions in the case of degenerate bosons

Владимир Иванович Цурков

Properties of solutions to superfluid hydrodynamic equations as applied to the degenerate Bose gas are considered. The equations are split into two independent pairs of equations. One pair is written for the normal component implies the instability of solutions, which manifests itself in the majorant catastrophe with respect to the total density. The case when the thermodynamic functions depend on the difference of the normal and superfluid velocities is also considered. In that case, the system is not split; however, the instability and the majorant catastrophe occur when the initial temperature tends to absolute zero.Properties of solutions to superfluid hydrodynamic equations as applied to the degenerate Bose gas are considered. The equations are split into two independent pairs of equations. One pair is written for the normal component implies the instability of solutions, which manifests itself in the majorant catastrophe with respect to the total density. The case when the thermodynamic functions depend on the difference of the normal and superfluid velocities is also considered. In that case, the system is not split; however, the instability and the majorant catastrophe occur when the initial temperature tends to absolute zero.

Computational Mathematics and Mathematical PhysicsOct 1, 20100 citations

On the hydrodynamics of Fermi superfluids

Ricardo A. Broglia, Alfredo Molinari, T. Regge

Annals of PhysicsDec 1, 19778 citations

Flow field of a unitary Fermi gas for the scissors mode

Zhenbang Lu, Jisheng Chen, Jiarong Li

The scissors mode plays a crucial role in the study of the unitary Fermi gas. In this paper, we simulate the scissors mode by solving the hydrodynamic equations with appropriate initial conditions, and then extract the flow field of the gas. The flow fields in different regimes are found to be essentially different. The characteristic differences in the flow patterns between the superfluid and the normal viscous fluid are presented. Irrotational flow signals superfluidity, while rotational one indicates normal hydrodynamical behavior. These different characteristics can be visualized by the velocity portraits of the flow, which provide an intuitive way to discriminate the states of the Fermi gas.The scissors mode plays a crucial role in the study of the unitary Fermi gas. In this paper, we simulate the scissors mode by solving the hydrodynamic equations with appropriate initial conditions, and then extract the flow field of the gas. The flow fields in different regimes are found to be essentially different. The characteristic differences in the flow patterns between the superfluid and the normal viscous fluid are presented. Irrotational flow signals superfluidity, while rotational one indicates normal hydrodynamical behavior. These different characteristics can be visualized by the velocity portraits of the flow, which provide an intuitive way to discriminate the states of the Fermi gas.

Modern Physics Letters BAug 10, 20140 citations

On the hydrodynamics of fermi superfluids

R. A. Broglia

Annals of PhysicsNov 1, 19770 citations

Velocity dependence of the density of the normal component, and hydrodynamics of superfluid flow at high velocities

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