Abstract
We 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.
This Chapter is adapted from Chap. 16 of Quantum Phase Transitions, 2nd edition, Cambridge University Press (forthcoming).
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Sachdev, S. (2012). Dilute Fermi and Bose Gases. In: Zwerger, W. (eds) The BCS-BEC Crossover and the Unitary Fermi Gas. Lecture Notes in Physics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21978-8_8
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DOI: https://doi.org/10.1007/978-3-642-21978-8_8
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