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Local conservation laws in ultracold Fermi systems with time-dependent interaction potential.

P Lipavský1, Pei-Jen Lin2

  • 1Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 12116 Prague 2, Czech Republic.

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|June 20, 2019
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Summary

We derived conservation laws for ultracold Fermi gases using a generalized Boltzmann equation. Gradient corrections reveal how collisions affect conserving quantities and influence shear viscosity.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Ultracold Fermi gases provide a tunable platform for studying quantum many-body phenomena.
  • Understanding transport properties, like shear viscosity, is crucial for describing these systems.

Purpose of the Study:

  • To derive general conservation laws for mass, energy, and momentum in ultracold Fermi gases.
  • To investigate the role of gradient corrections and collision dynamics on these conservation laws.
  • To analyze the impact of collision delay on shear viscosity.

Main Methods:

  • Generalized nonlocal Boltzmann equation with gradient corrections.
  • In-medium T matrix theory and variations of the optical theorem.
  • Microscopic theory and comparison with the Nozières and Schmitt-Rink approach.

Main Results:

  • Derived mass, energy, and momentum conservation laws incorporating gradient corrections.
  • Showcased particle-hole symmetry's role in semiclassical simulations.
  • Distinguished between Pauli-blocked and Bose-stimulated collisions, with the latter appearing only with gradient corrections.
  • Demonstrated the effect of collision delay on shear viscosity in normal-state ultracold Fermi gases.

Conclusions:

  • Gradient corrections and collision dynamics significantly influence conservation laws in ultracold Fermi gases.
  • Collision delay is a key factor affecting transport properties such as shear viscosity.
  • The generalized Boltzmann equation provides a robust framework for studying these systems.