Interactions in Quantum Fluids

TL;DR

This paper reviews the fundamental effects of interactions on quantum particles, focusing on fermions and one-dimensional systems, providing an accessible introduction to key concepts like Fermi liquids and interaction models.

Contribution

It offers an elementary overview of interaction effects in quantum fluids, emphasizing fermions and one-dimensional cases, suitable for students new to the field.

Findings

Explanation of Fermi liquid theory

Discussion of interaction models in quantum fluids

Analysis of one-dimensional interacting particles

Abstract

In these notes I review the basic concepts of the effects of interactions on quantum particles. I focuss here mostly on the case of fermions, but several aspects of interacting bosons are mentioned as well. These notes have been voluntarily kept at an elementary level and should be suitable for students wanting to enter this field. I review the concept of Fermi liquid, and then move to a description of the interaction effects, as well as the main models that are used to tackle these questions. Finally I study the case of one dimensional interacting particles that constitutes a fascinating special case.