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fermi liquid parameters

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5 - The Fermi Liquid
from Part III - Degenerate Fermi Gases
Hui Zhai, Tsinghua University, Beijing
Book:

Ultracold Atomic Physics

Published online:

30 January 2021

Print publication:

25 February 2021, pp 155-171
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Summary

1. Introduce density distribution and momentum distribution of non-interacting Fermi gas.
2. Discuss the transport property of a Fermi gas through a quantum point contact.
3. Discuss Fermi surface as a key of a non-interacting Fermi gas and its generalization to a Fermi liquid.
4. Introduce the effective mass and the quasi-particle residue as two key parameters of the Fermi liquid.
5. Introduce the self-energy and the universal relations between the effective mass, the quasi-particle residue and the self-energy.
6. Discuss Fermi polaron as an example of the Fermi liquid, and show these universal relations with this example.
7. Discuss the divergence of the effective mass and vanishing of quasi-particle residue when Fermi liquid description fails.
8. Introduce the radio-frequency spectroscopy and how it measures the polaron energy and the quasi-particle residue.
9. Summarize different spectroscopy measurements in ultracold atomic systems.

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5 - The Fermi Liquid

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5 - The Fermi Liquid

Summary