Dilute Fermi and Bose Gases

TL;DR

This paper presents a unified theoretical framework for understanding dilute Fermi and Bose gases through quantum phase transitions, emphasizing the role of quantum critical points and renormalization group analysis in predicting universal properties.

Contribution

It introduces a unified perspective using quantum phase transition theory and provides exact renormalization group calculations for dilute quantum gases near critical points.

Findings

Universal properties of dilute Bose gases derived

Universal properties of spinful Fermi gases near Feshbach resonance computed

Quantum critical points control dilute gas behavior

Abstract

I give a unified perspective on the properties of a variety of quantum liquids using the theory of quantum phase transitions. A central role is played by a zero density quantum critical point which is argued to control the properties of the dilute gas. An exact renormalization group analysis of such quantum critical points leads to a computation of the universal properties of the dilute Bose gas and the spinful Fermi gas near a Feshbach resonance.