Introduction to Superfluidity

K.H. Bennemann, John B. Ketterson

Andreas Schmitt

In this pedagogical introduction, I discuss theoretical aspects of superfluidity and superconductivity, mostly using a field-theoretical formalism. While the emphasis is on general concepts and mechanisms behind superfluidity, I also discuss various applications in low-energy and high-energy physics. Besides some introductory and standard topics such as superfluid helium and superfluidity in a simple scalar field theory, the lecture notes also include more advanced chapters, for instance discussions of the covariant two-fluid formalism and Cooper pairing with mismatched Fermi surfaces.

F.W. Cummings, James R. Johnston

William Frank Vinen

This paper provides a brief introduction to quantum turbulence in simple superfluids, in which the required rotational motion in the superfluid component is due entirely to the topological defects that are identified as quantized vortices. Particular emphasis is placed on the basic dynamical behaviour of the quantized vortices and on turbulent decay mechanisms at a very low temperature. There are possible analogies with the behaviour of cosmic strings.

K.H. Bennemann, John B. Ketterson

This chapter covers some of the basics of superfluidity. It discusses Bose–Einstein condensation in an ideal gas; the Bogoliubov transformation; superfluid helium II; microscopic interpretation of the Bose order parameter; phenomenological theories of superconductivity; the Bardeen–Cooper–Schrieffer (BCS) theory of superconductivity; the first unusual superfluid, 3He; and recent developments in superfluidity.

Yongle Yu